Updated on 2025/08/19

写真a

 
ZHANG, Shao-Liang
 
Organization
Graduate School of Engineering Applied Physics 1 Professor
Graduate School
Graduate School of Engineering
Undergraduate School
School of Engineering Physical Science and Engineering
Title
Professor

Degree 3

  1. 工学博士 ( 1990.3   筑波大学 ) 

  2. 工学修士 ( 1987.3   筑波大学 ) 

  3. 理学学士 ( 1983.8   吉林大学 ) 

Research Interests 1

  1. 1.線形方程式 2.高速解法 3.計算サーバ 4.計算科学 5.クリロフ部分空間法 6.計算物質科学 7.超大規模系 8.固有値問題

Research Areas 1

  1. Others / Other  / Fundamental Engineering

Current Research Project and SDGs 1

  1. 大規模線形方程式の数値解法(GPODR(s)法)の開発

Research History 11

  1. Nagoya University   Part-time faculty member

    2023.4

  2. Nagoya University   Professor

    2017.4

      More details

    Country:Japan

  3. Nagoya University   Administrative Support Organizations International Education & Exchange Nagoya University   Director in General

    2014.4

  4. Nagoya University   Algorithm Section, Center for Computational Science, Graduate School of Engineering   Part-time faculty member

    2008.10 - 2021.3

  5. Nagoya University   Administrative Support Organizations Academic Consortium 21 Office   Part-time faculty member

    2008.4 - 2023.3

  6. Nagoya University   Professor

    2005.6 - 2017.3

      More details

    Country:Japan

  7. The University of Tokyo   Professor

    2005.6 - 2007.3

      More details

    Country:Japan

  8. The University of Tokyo   Associate Professor

    1998.7 - 2005.5

      More details

    Country:Japan

  9. University of Tsukuba   Lecturer

    1995.11 - 1998.6

      More details

    Country:Japan

  10. Nagoya University   Assistant

    1993.4 - 1995.10

      More details

    Country:Japan

  11. 計算流体力学研究所   研究員

    1990.4

      More details

    Country:Japan

▼display all

Education 3

  1. University of Tsukuba   Graduate School, Division of Engineering

    1987.4 - 1990.3

      More details

    Country: Japan

  2. University of Tsukuba   Graduate School, Division of Science and Engineering

    1985.4 - 1987.3

      More details

    Country: Japan

  3. 吉林大学   数学系   計算数学コース

    1979.9 - 1983.6

Professional Memberships 21

  1. 日本応用数理学会   フェロー

    2022.6

  2. JSIAM

    2021.6 - 2023.6

  3. JSIAM

    2021.6 - 2023.6

  4. Communications in Mathematical Research   Member of editorial board

    2020

  5. Japan Journal of Industrial and Applied Mathematics   Member of editorial board (Adviser)

    2019

  6. CSIAM Transaction on Applied Mathematics   Member of editorial board

    2019

  7. 日本応用数理学会   理事

    2017.4 - 2019.3

  8. East Asia Section of Society for Industrial and Applied Mathematics   Secretary

    2011.1 - 2012.12

  9. Journal of Mathematical Research with Applications   Member of editorial board

    2011

  10. East Asian Journal on Applied Mathematics   Member of editorial board

    2011 - 2015

  11. Journal of Mathematical Research and Exposition   Member of editorial board

    2010 - 2011

  12. Society for Industrial and Applied Mathematics   Member

    2008

  13. Japan Society for Industrial and Applied Mathematics

    2004.4 - 2006.3

  14. International Journal of Numerical Analysis and Modeling   Member of editorial board

    2004 - 2009

  15. Japan Society for Industrial and Applied Mathematics

    2001.4 - 2005.3

  16. Japan Society for Industrial and Applied Mathematics

    2000.4 - 2009.3

  17. Information Processing Society of Japan

    2000.4 - 2004.3

  18. 情報処理学会   正会員

    2000

  19. Japan Society for Industrial and Applied Mathematics

    1995.4 - 1999.3

  20. 日本応用数理学会   正会員

    1990

  21. Journal of Information and Computational Science   Editorial board

▼display all

Awards 4

  1. 日本応用数理学会論文賞(理論部門)

    1997   日本応用数理学会  

     More details

    Country:Japan

    論文「ランチョス・プロセスに基づく積型反復解法」

  2. 日本応用数理学会論文賞(理論部門)

    2002   日本応用数理学会  

     More details

    Country:Japan

    論文「特異な係数行列をもつ連立一次方程式に対するCR法の収束性」

  3. 平成22年度日本応用数理学会論文賞(ノート部門)

    2010   日本応用数理学会  

     More details

    Country:Japan

  4. 平成23年度日本応用数理学会論文賞(応用部門)

    2011   日本応用数理学会  

     More details

    Country:Japan

 

Papers 107

  1. Preconditioned linearized Bregman method with Golub-Kahan bidiagonalization for frame-based image deblurring Reviewed International coauthorship International journal

    Z. Wang, J.-F Yin, S.-L. Zhang, N. Zheng

    Applied Mathematics Letters   Vol. 167 ( 109667 )   2025.12

     More details

    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Elsevier  

    DOI: 10.1016/j.aml.2025.109667

  2. Variational Quantum Algorithm for Solving Second-Order Linear Differential Equations Reviewed International journal Open Access

    R. Sugaya, T. Sogabe, T. Kemmochi, S.-L. Zhang

    Quantum Information & Computation   Vol. 25   page: 232 - 247   2025

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2478/qic-2025-0012

    Open Access

  3. A tensor Alternating Anderson-Richardson method for solving multilinear systems with M-tensors Reviewed International coauthorship International journal

    J. Niu, L. Du, T. Sogabe, S.-L. Zhang

    J. Comput. Appl. Math.   Vol. 461   page: 116419   2025

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.cam.2024.116419

  4. Product-type Krylov Subspace Methods for Complex Symmetric Matrices in Electromagnetic Field Analysis Reviewed

    S. Sugimoto, T. Sogabe, S.-L. Zhang, M. Ogino, A. Takei

    IEEJ transactions on Industry Applications   Vol. 145 ( 2 ) page: 87 - 97   2025

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.1541/ieejias.145.87

  5. A Preconditioning Technique of Gauss–Legendre quadrature for the Logarithm of Symmetric Positive Definite Matrices Reviewed International journal Open Access

    F. Tatsuoka, T. Sogabe, T. Kemmochi, S.-L. Zhang

    Applied Mathematics Letters   Vol. 167   page: 109552   2025

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.aml.2025.109552

  6. Computing the matrix exponential with the double exponential formula Reviewed International journal Open Access

    F. Tatsuoka, T. Sogabe, T. Kemmochi, S.-L. Zhang

    SPECIAL MATRICES   Vol. 12 ( 1 ) page: 20240013   2024.10

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/spma-2024-0013

    Open Access

    Web of Science

  7. Matrix equation representation of the convolution equation and its unique solvability Reviewed International journal Open Access

    Y. Satake, T. Sogabe, T. Kemmochi, S.-L. Zhang

    SPECIAL MATRICES   Vol. 12 ( 1 ) page: 20240001   2024.6

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1515/spma-2024-0001

    Open Access

    Web of Science

  8. Coresets for fast causal discovery with the additive noise model Reviewed International coauthorship International journal

    BX. Zhao, SL. Wang, LH, Chi, HN. Yuan, Y. Yuan, Q. Li, J. Geng, S.-L. Zhang

    PATTERN RECOGNITION   Vol. 148   page: 110149   2024.4

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.patcog.2023.110149

    Web of Science

  9. Shifted LOPBiCG: A locally orthogonal product-type method for solving nonsymmetric shifted linear systems based on Bi-CGSTAB Reviewed International journal

    R.-J. Zhao, T. Sogabe, T. Kemmochi, S.-L. Zhang

    NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS   Vol. 31 ( 2 ) page: e2538   2024.3

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1002/nla.2538

    Web of Science

  10. Tensor product-type methods for solving Sylvester tensor equations Reviewed International coauthorship International journal

    J. Niu, T. Sogabe, L. Du, T. Kemmochi, S-L. Zhang

    APPLIED MATHEMATICS AND COMPUTATION   Vol. 457 ( 128155 )   2023.11

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.amc.2023.128155

    Web of Science

  11. A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves Reviewed International journal

    E. Miyazaki, T. Kemmochi, T. Sogabe, S.-L. Zhang

    Commun. Math. Res.   Vol. 39   page: 296 - 330   2023

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4208/cmr.2022-0040

  12. COMPUTING THE MATRIX FRACTIONAL POWER WITH THE DOUBLE EXPONENTIAL FORMULA Reviewed International journal

    F. Tatsuoka,T.; Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang

    ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS   Vol. 54   page: 558 - 580   2021

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1553/etna_vol54s558

    Web of Science

  13. On a transformation of the *-congruence Sylvester equation for the least squares optimization Reviewed International journal

    Y. Satake, T. Sogabe, T. Kemmochi, S.-L. Zhang

    OPTIMIZATION METHODS & SOFTWARE   Vol. 35 ( 5 ) page: 974 - 981   2020.9

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1080/10556788.2020.1734004

    Web of Science

  14. Algorithms for the computation of the matrix logarithm based on the double exponential formula Reviewed International journal Open Access

    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang

    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   Vol. 373 ( 112396 )   2020.8

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.cam.2019.112396

    Web of Science

  15. Adaptive SOR methods based on the Wolfe conditions Reviewed International journal

    Y. Miyatake, T. Sogabe, S.-L. Zhang

    NUMERICAL ALGORITHMS   Vol. 84 ( 1 ) page: 117 - 132   2020.5

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s11075-019-00748-0

    Web of Science

  16. An Implicit Evaluation Method of Vector 2-Norms Arising from Sphere Constrained Quadratic Optimizations Reviewed International journal

    T. Sogabe, A. Suzuki, S.-L. Zhang

    CSIAM TRANSACTIONS ON APPLIED MATHEMATICS   Vol. 1 ( 1 ) page: 142 - 154   2020.3

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4208/csiam-am.2020-0008

    Web of Science

  17. A STRUCTURE-PRESERVING FOURIER PSEUDO-SPECTRAL LINEARLY IMPLICIT SCHEME FOR THE SPACE-FRACTIONAL NONLINEAR SCHRODINGER EQUATION Reviewed International journal

    Y. Miyatake, T. Nakagawa, T. Sogabe, S.-L. Zhang

    JOURNAL OF COMPUTATIONAL DYNAMICS   Vol. 6 ( 2 ) page: 361 - 383   2019.12

     More details

    Authorship:Last author   Language:Chinese   Publishing type:Research paper (scientific journal)  

    DOI: 10.3934/jcd.2019018

    Web of Science

  18. A Breakdown-Free Block COCG Method for Complex Symmetric Linear Systems with Multiple Right-Hand Sides Reviewed International coauthorship International journal

    HX. Zhong, XM. Gu, S.-L. Zhang

    SYMMETRY   Vol. 11 ( 10 )   2019.10

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.3390/sym11101302

    Web of Science

  19. Relation between the T-congruence Sylvester equation and the generalized Sylvester equation Reviewed International journal

    Y. Satake, M. Oozawa, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang

    APPLIED MATHEMATICS LETTERS   Vol. 96   page: 7 - 13   2019.10

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.aml.2019.04.007

    Web of Science

  20. Modified Strang splitting for semilinear parabolic problems Reviewed International journal

    K. Nakano, T. Kemmochi, Y. Miyatake, T. Sogabe, S.-L. Zhang

    JSIAM LETTERS   Vol. 11   page: 77 - 80   2019

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    Web of Science

  21. 数値積分に基づく行列実数乗の計算について Invited Reviewed

    立岡文理、曽我部知広、張紹良

    計算数理工学レビュー   Vol. 2019 ( 2 ) page: 45 - 55   2019

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  22. On computing the k-th singular triplet Reviewed Open Access

    D. Lee, T. Sogabe, Y. Miyatake, S.-L. Zhang

    Transactions of Japan Society for Industrial and Applied Mathematics   Vol. 29 ( 1 ) page: 121 - 140   2019

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.11540/jsiamt.29.1_121

    Open Access

  23. On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems Reviewed International journal

    Y. Miyatake, T. Sogabe, S.-L. Zhang

    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   Vol. 342   page: 58 - 69   2018.11

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.cam.2018.04.013

    Web of Science

  24. Solution of the k-th eigenvalue problem in large-scale electronic structure calculations Reviewed International journal

    D. Lee, T. Hoshi, T. Sogabe, Y. Miyatake, S.-L. Zhang

    JOURNAL OF COMPUTATIONAL PHYSICS   Vol. 371   page: 618 - 632   2018.10

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jcp.2018.06.002

    Web of Science

  25. A Look-Back-type restart for the restarted Krylov subspace methods for solving non-Hermitian linear systems Reviewed International journal

    A. Imakura, T. Sogabe, S.-L. Zhang

    JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS   Vol. 35 ( 2 ) page: 835 - 859   2018.7

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s13160-018-0308-x

    Web of Science

  26. On a relationship between the T-congruence Sylvester equation and the Lyapunov equation Reviewed International journal

    M. Oozawa, T. Sogabe, Y. Miyatake, S.-L. Zhang

    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   Vol. 329   page: 51 - 56   2018.2

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.cam.2017.05.044

    Web of Science

  27. A fast algorithm for solving tridiagonal quasi-Toeplitz linear systems Reviewed International coauthorship International journal

    L. Du, T. Sogabe, S.-L. Zhang

    APPLIED MATHEMATICS LETTERS   Vol. 75   page: 74 - 81   2018.1

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.aml.2017.06.016

    Web of Science

  28. 二重指数関数型数値積分公式を用いた行列実数乗の計算 Reviewed

    立岡文理、曽我部知広、宮武勇登、張紹良

    日本応用数理学会論文誌   Vol. 28   page: 142 - 161   2018

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  29. Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values Reviewed International journal

    K. Ooi, Y. Mizuno, T. Sogabe, Y. Yamamoto, S.-L. Zhang

    EAST ASIAN JOURNAL ON APPLIED MATHEMATICS   Vol. 7 ( 4 ) page: 799 - 809   2017.11

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4208/eajam.181016.300517c

    Web of Science

  30. A cost-efficient variant of the incremental Newton iteration for the matrix pth root Reviewed International journal

    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang

    J. Math. Res. Appl.   Vol. 37   page: 97 - 106   2017

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  31. Energy-preserving H1-Galerkin schemes for the Hunter-Saxton equation Reviewed International journal

    Y. Miyatake, G. Eom, T. Sogabe, S.-L. Zhang

    J. Math. Res. Appl.   Vol. 37   page: 107 - 118   2017

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  32. The discrete gradient method for differential equations can be a generator of linear solvers Reviewed Open Access

    Y. Miyatake, T. Sogabe, S.-L. Zhang

    Transactions of Japan Society for Industrial and Applied Mathematics   Vol. 27 ( 3 ) page: 239 - 249   2017

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

    DOI: 10.11540/jsiamt.27.3_239

    Open Access

  33. Locally Optimal and Heavy Ball GMRES Methods Reviewed International journal

    A. Imakura, R.-C. Li, S.-L. Zhang

    Japan Journal of Industrial and Applied Mathematics   Vol. 33   page: 471 - 499   2016

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  34. Adaptive space transformation: An invariant based method for predicting aerodynamic coefficients of hypersonic vehicles Reviewed International coauthorship International journal

    C. Luo, Z. Hu, S.-L. Zhang, Z. Jiang

    Engineering Applications of Artificial Intelligence   Vol. 46   page: 93 - 103   2015.11

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  35. IDR(s) for solving shifted nonsymmetric linear systems Reviewed International coauthorship International journal

    L. Du, T. Sogabe, S.-L. Zhang

    J. Comput. Appl. Math.   Vol. 274   page: 35 - 43   2015

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  36. An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems Reviewed International coauthorship International journal

    L. Du, T. Sogabe, S.-L. Zhang

    Appl. Math. Comput.   Vol. 244   page: 10 - 15   2014

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  37. An Efficient Variant of the Restarted Shifted GMRES Method for Solving Shifted Linear Systems Reviewed International journal

    A. Imakura, T. Sogabe, S.-L. Zhang

    Journal of Mathematical Research with Applications   Vol. 33 ( 2 ) page: 127 - 144   2013

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  38. An interior eigenvalue problem from electronic structure calculations Reviewed International journal

    D. Lee, T. Miyata, T. Sogabe, T. Hoshi, S.-L. Zhang

    Japan Journal of Industrial and Applied Mathematics   Vol. 30   page: 625 - 633   2013

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  39. A numerical approach to surface Green's functions via generalized eigenvalue problems Reviewed International journal

    T. Miyata, S. Honda, R. Naito, S.-L. Zhang

    Japan Journal of Industrial and Applied Mathematics   Vol. 30   page: 653 - 660   2013

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  40. Some modifications of low-dimensional simplex evolution and their convergence Reviewed International coauthorship International journal

    C. Luo, S.-L. Zhang, B. Yu

    Optimization Methods and Software   Vol. 28 ( 1 ) page: 54 - 81   2013

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  41. Solution of generalized shifted linear systems with complex symmetric matrices Reviewed International journal

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    J. Comput. Phys.   Vol. 231 ( 17 ) page: 5669 - 5684   2012

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  42. デフレーション型とLook-Back型のリスタートを併用したGMRES(m)法の収束特性 Reviewed

    今倉暁、楊済栄、曽我部知広、張紹良

    日本応用数理学会論文誌   Vol. 22 ( 3 ) page: 117 - 124   2012

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  43. An order-N electronic structure theory with generalized eigen-value equations and its application to a ten-million-atom system Reviewed International journal Open Access

    T. Hoshi, S. Yamamoto, T. Fujiwara, T. Sogabe, S.-L. Zhang

    J. Phys.: Condens. Matter   Vol. 24 ( 165502 ) page: 1 - 5   2012

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1088/0953-8984/24/16/165502

    Open Access

  44. An Efficient Variant of the GMRES(m) Method Based on the Error Equations Reviewed International journal

    A. Imakura, T. Sogabe, S.-L. Zhang

    East Asian Journal on Applied Mathematics   Vol. 2 ( 1 ) page: 19 - 32   2012

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4208/eajam.280611.030911a

  45. 非対称線形方程式のためのLook-Back GMRES(m)法 Reviewed

    今倉暁、曽我部知広、張紹良

    日本応用数理学会論文誌   Vol. 22 ( 1 ) page: 1 - 22   2012

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  46. Backward error analysis of the AllReduce algorithm for householder QR decomposition Reviewed International journal

    D. Mori, Y. Yamamoto, S.-L.Zhang

    Japan Journal of Industrial and Applied Mathematics   Vol. 29   page: 111 - 130   2012

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  47. 非直交同時対角化アルゴリズムのハイブリッド解法 Reviewed International journal

    廣田悠輔、山本有作、張紹良

    日本応用数理学会論文誌   Vol. 22   page: 63 - 79   2012

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  48. Parse-matrix evolution for symbolic regression Reviewed International coauthorship International journal

    C. Luo, S.-L. Zhang

    Engineering Applications of Artificial Intelligence   Vol. 25 ( 6 ) page: 1182 - 1193   2012

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  49. A variant of the IDR(s) method with the quasiminimal residual strategy Reviewed International journal

    L. Du, T. Sogabe, S.-L. Zhang

    J. Comput. Appl. Math   Vol. 236 ( 5 ) page: 621 - 630   2011.10

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  50. An extension of the COCR method to solving shifted linear systems with complex symmetric matrices Reviewed International journal

    T. Sogabe, S.-L. Zhang

    East Asia J. on Appl. Math.   Vol. 1   page: 97 - 107   2011

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4208/eajam.260410.240510a

  51. A block IDR(s) method for nonsymmetric linear systems with multiple right-hand sides Reviewed International coauthorship International journal

    L. Du, T. Sogabe ,B. Yu, Y.Yamamoto, S.-L. Zhang

    J. Comput. Appl. Math   Vol. 235   page: 4095 - 4106   2011

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  52. Cache optimization of a non-orthogonal joint diagonalization method Reviewed International journal

    Y. Hirota, Y. Yamamoto, S.-L. Zhang

    JSIAM Letters   Vol. 3   page: 9 - 12   2011

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  53. 一般化固有値問題に対するArnoldi(M,W,G)法 Reviewed

    山下達也,、宮田考史、曽我部知広、星健夫、藤原毅夫、張紹良

    日本応用数理学会論文誌   Vol. 21 ( 3 ) page: 241 - 254   2011

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  54. Optimization of the Multishift QR Algorithm with Coprocessors for Non-Hermitian Eigenvalue Problems Reviewed International journal

    T. Miyata, Y. Yamamoto, T. Uneyama, Y. Nakamura, S.-L. Zhang

    East Asian Journal on Applied Mathematics   Vol. 1 ( 2 ) page: 187 - 196   2011

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  55. Quasi-minimal residual smoothing technique for the IDR(s) method Reviewed

    L. Du,T. Sogabe,S.-L. Zhang

    JSIAM Letters   Vol. 3   page: 13-16   2011

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  56. Efficient and accurate linear algebraic methods for large-scale electronic structure calculations with non-orthogonal atomic orbitals Reviewed International journal Open Access

    H. Teng, T. Fujiwara, T. Hoshi, T. Sogabe, S.-L. Zhang, S.Yamamoto

    Phys. Rev. B   Vol. 83 ( 165103 ) page: 1 - 12   2011

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1103/PhysRevB.83.165103

  57. 動的計画法を用いたブロックハウスホルダQR分解アルゴリズムの性能最適化 Reviewed

    深谷猛、山本有作、張紹良

    情報処理学会論文誌ACS   Vol. 4 ( 4 ) page: 146 - 157   2011

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  58. A metamodel-assisted evolutionary algorithm for expensive optimization Reviewed International coauthorship International journal

    C. Luo, S.-L. Zhang, C. Wang, Z. Jiang

    J. Comput. Appl. Math.   Vol. 236 ( 5 ) page: 759 - 764   2011

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  59. Acceleration of Hessenberg Reduction for Nonsymmetric Eigenvalue Problems in a Hybrid CPU-GPU Computing Environment Reviewed International journal

    J. Muramatsu, T. Fukaya, S.-L. Zhang, K. Kimura, Y. Yamamoto

    Int. J. Netw. Comput.   Vol. 1 ( 2 ) page: 132 - 143   2011

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  60. Jacobi-Davidson 法における修正方程式の解法-射影空間における Krylov 部分空間のシフト不変性に基づいて- Reviewed

    宮田考史、曽我部知広、張紹良

    日本応用数理学会論文誌   Vol. 20 ( 2 ) page: 115 - 129   2010

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  61. A novel algorithm of large-scale simultaneous linear equations Reviewed International journal

    T. Fujiwara, T. Hoshi, S.Yamamoto, T. Sogabe, S.-L. Zhang

    Journal of Physics   Vol. 22 ( 074206 ) page: 1 - 6   2010

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  62. 大規模シフト線形方程式の数値解法 ---クリロフ部分空間の性質に着目して--- Invited Reviewed

    曽我部知広、張紹良

    応用数理   Vol. 19 ( 3 ) page: 27 - 42   2009

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  63. An extension of the conjugate residual method to nonsymmetric linear systems Reviewed International journal

    T. Sogabe, M. Sugihara, S.-L. Zhang

    J. Comput. Appl. Math.   Vol. 226   page: 103 - 113   2009

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  64. An Implicit Wavelet Sparse Approximate Inverse Preconditioner Using Block Finger Pattern Reviewed International journal

    A. Imakura, T. Sogabe, S.-L. Zhang

    Numerical Linear Algebra with Applications   Vol. 16   page: 915 - 928   2009

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  65. 行列の指数関数に基づく連立線形常微分方程式の大粒度並列化解法とその評価 Reviewed

    則竹渚宇、今倉暁、山本有作、張 紹良

    日本応用数理学会論文誌   Vol. 19 ( 3 ) page: 293 - 312   2009

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  66. GMRES(m)法のリスタートについて Reviewed

    今倉暁、曽我部知広、張紹良

    日本応用数理学会論文誌   Vol. 19 ( 4 ) page: 551 - 564   2009

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  67. 多重連結領域の固有値問題に対する Sakurai-Sugiura 法の拡張 Reviewed

    宮田考史、杜磊、曽我部知広、山本有作、張紹良

    日本応用数理学会論文誌   Vol. 19 ( 4 ) page: 537 - 550   2009

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  68. 在庫管理計画問題の動的計画法による解法とCUDAを用いた高速化 Reviewed

    李天、河畠工、山本有作、畝山多加志、張紹良

    情報処理学会論文誌ACS   Vol. 1 ( 2 ) page: 1 - 10   2008

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  69. AOR法を用いた可変的前処理付き一般化共役残差法 Reviewed

    前田祥兵、阿部邦美、曽我部知広、張紹良

    日本応用数理学会論文誌   Vol. 18 ( 1 ) page: 155 - 170   2008

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  70. 対称三重対角行列向けマルチシフト QR 法の漸近的収束性解析 Reviewed

    宮田考史、岩崎雅史、山本有作、張紹良

    日本応用数理学会論文誌   Vol. 18 ( 4 ) page: 563 - 577   2008

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  71. A Fully Pipelined Multishift QR Algorithm for the Parallel Solution of Symmetric Tridiagonal Eigenproblems Reviewed International journal

    T. Miyata, Y. Yamamoto, S.-L. Zhang

    IPSJ Transactions on Advanced Computing System   Vol. 1 ( 3 ) page: 14 - 27   2008

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  72. Shifted COCG method and its application to double orbital extended Hubbard model Reviewed International journal Open Access

    S. Yamamoto, T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    J. Phys. Soc. Jpn.   Vol. 77 ( 11,114713 ) page: 1 - 8   2008

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1143/jpsj.77.114713

    Open Access

  73. On a weighted quasi-residual minimization strategy for solving complex symmetric shifted linear systems Reviewed International journal Open Access

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    Electron. Trans. Numer. Anal.   Vol. 31   page: 126 - 140   2008

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

    Open Access

  74. Finger patternのブロック化による陰的wavelet近似逆行列前処理の高速化 Reviewed

    今倉暁、曽我部知広、張紹良

    日本応用数理学会論文誌   Vol. 17 ( 4 ) page: 523 - 542   2007

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  75. A COCR method for solving complex symmetric linear systems Reviewed International journal Open Access

    T. Sogabe, S.-L. Zhang

    J. Comput. Appl. Math.   Vol. 199   page: 297 - 303   2007

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.cam.2005.07.032

    Open Access

  76. 非対称行列用共役残差法に基づく積型反復解法 Reviewed

    阿部邦美、曽我部知広、藤野清次、張紹良

    情報処理学会論文誌「コンピューティングシステム」   Vol. 48 ( SIG8(ACS18) ) page: 11 - 21   2007

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  77. Bi-CR法への準最小残差アプローチの適用について Reviewed

    南さつき、曽我部知広、杉原正顯、張紹良

    日本応用数理学会論文誌   Vol. 17 ( 3 ) page: 301 - 317   2007

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  78. ORTHOMIN(m) 法の変形とその特異な系への適用 Reviewed

    阿部邦美、張紹良

    日本応用数理学会論文誌   Vol. 16 ( 4 ) page: 385 - 398   2006

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  79. Linear algebraic calculation of Green's function for large-scale electronic structure theory Reviewed International journal

    R. Takayama, T. Hoshi, T. Sogabe, S.-L. Zhang, T. Fujiwara

    Phys. Rev. B   Vol. 73 ( 165108 ) page: 1 - 9   2006

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  80. A variable preconditioning using the SOR method for GCR-Like methods Reviewed International journal

    K. Abe, S.-L. Zhang

    International Journal of Numerical Analysis and Modeling   Vol. 2 ( 2 ) page: 147 - 161   2005

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  81. 共役残差法の非対称行列用への拡張 Reviewed

    曽我部知広、杉原正顯、張紹良

    日本応用数理学会論文誌   Vol. 15 ( 3 ) page: 445 - 459   2005

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  82. 非対称Toeplitz行列のための置換行列による前処理 Reviewed

    曽我部知広、鄭波、橋本康、張紹良

    日本応用数理学会論文誌   Vol. 15 ( 2 ) page: 159 - 168   2005

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  83. A Variant of the Orthomin(2) Method for Singular Linear Systems Reviewed International journal

    K. Abe, S.-L. Zhang, T. Mitsui and C.-H. Jin

    Numerical Algorithms   Vol. 36   page: 189 - 202   2004

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  84. CGS法の改良について Reviewed

    曽我部知広、金成海、阿部邦美、張紹良

    日本応用数理学会論文誌   Vol. 14 ( 1 ) page: 1 - 12   2004

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  85. Incomplete orthogonalization preconditioners for solving large and dense linear systems which arise from Semidefinite Programming Reviewed

    S.-L. Zhang, K. Nakata, M. Kojima

    Applied Numerical Mathematics   Vol. 41   page: 235 - 345   2002

     More details

    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  86. A class of product-type Krylov-subspace methods for solving nonsymmetric linear systems Reviewed

    S.-L. Zhang

    Journal of Computational and Applied Mathematics   Vol. 149 ( 1 ) page: 297 - 305   2002

     More details

    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  87. A regularized conjugate gradient method for symmetric positive definite system of linear equations Reviewed International coauthorship

    Z.-Z. Bai, S.-L. Zhang

    J. Comp. Math.   Vol. 20 ( 4 ) page: 437 - 448   2002

     More details

    Authorship:Last author   Language:English   Publishing type:Research paper (scientific journal)  

  88. Bi-CGSTAB(L)法におけるLの動的選択について Reviewed

    宮内努、伊藤祥司、張紹良、名取亮

    日本応用数理学会論文誌   Vol. 11 ( 2 ) page: 49 - 62   2001

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  89. SOR法を用いた可変的前処理付き一般化共役残差法 Reviewed

    阿部邦美、張紹良、長谷川秀彦、姫野龍太郎

    日本応用数理学会論文誌   Vol. 11 ( 4 ) page: 157 - 170   2001

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  90. The aggregate constaint homotopy method for nonconvex nonlinear programming Reviewed International coauthorship

    B. Yu, G.-C. Feng, S.-L. Zhang

    Nonlinear Analysis   Vol. 45 ( 7 ) page: 839 - 847   2001

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  91. 3次のべジエ三角形曲面による滑らかな補間曲面の生成 Reviewed

    李薇、張紹良、名取亮

    日本応用数理学会論文誌   Vol. 10 ( 2 ) page: 87 - 100   2000

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  92. Necessary and sufficient conditions for convergence of Orthomin(k) on singular and inconsistent linear systems Reviewed

    S.-L. Zhang, Y. Oyanagi, M. Sugihara

    Numerische Mathematik   Vol. 87 ( 2 ) page: 391 - 405   2000

     More details

    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  93. A kind of bivariate cubic splines and related linear operators on type-1 triangulation Reviewed International coauthorship

    S.-L. Zhang, R.-H. Wang, Y. Oyanagi, W. Li

    The Japan Journal of Industrial and Applied Mathematics   Vol. 17 ( 3 ) page: 391 - 402   2000

     More details

    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  94. 特異な係数行列をもつ連立一次方程式に対するCR法の収束性 Reviewed

    阿部邦美、緒方秀教、杉原正顯、張紹良、三井斌友

    日本応用数理学会論文誌   Vol. 9 ( 1 ) page: 1 - 13   1999

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  95. 大規模連立1次方程式の解法 ---クリロフ部分空間法--- Invited Reviewed

    張紹良

    応用数理   Vol. 8 ( 4 ) page: 301 - 312   1998

     More details

    Authorship:Lead author, Corresponding author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  96. 周期境界要素を持つブロック5重対角行列群へのRotated Alternative LU分解法の適用について Reviewed

    伊藤祥司、張紹良、名取亮

    情報処理学会論文誌   Vol. 39 ( 1 ) page: 153 - 156   1998

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  97. GPBi-CG: Generalized product-type methods based on Bi-CG for solving nonsymmetric linear systems Reviewed

    S.-L. Zhang

    SIAM Journal on Scientific Computing   Vol. 18 ( 2 ) page: 537 - 551   1997

     More details

    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  98. ブロック5重対角行列群に対するRotated Alternative LU分解法について---ベクトル計算機のための新解法 Reviewed

    伊藤祥司、張紹良、名取亮

    情報処理学会論文誌   Vol. 38 ( 11 ) page: 2402-2405   1997

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  99. MRTR法:CG型の三項漸化式に基づく非対称行列のための反復解法 Reviewed

    阿部邦美、張紹良、三井斌友

    日本応用数理学会論文誌   Vol. 7 ( 1 ) page: 37 - 50   1997

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  100. MCGS法:非対称連立一次方程式のための新しい反復解法 Reviewed

    金成海、張紹良、名取亮、櫻井鉄也、周偉東

    情報処理学会論文誌   Vol. 37 ( 11 ) page: 2138 - 2141   1996

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  101. 線形連立系に対する積型反復解法の加速多項式の評価 Reviewed

    阿部邦美、張紹良、三井斌友、杉浦洋

    日本応用数理学会論文誌   Vol. 6 ( 4 ) page: 405-425   1996

     More details

    Language:Japanese   Publishing type:Research paper (scientific journal)  

  102. Generalized product-type Krylov-subspace methods for solving nonsymmetric linear systems Reviewed

    S.-L. Zhang

    Zeitschrift fuer Angewandte Mathematik und Mechanik   Vol. 1   page: 593 - 594   1996

     More details

    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  103. A class of product-type methods based on Lanczos process Reviewed

    S.-L. Zhang, S. Fujino

    Transactions of Japan Society for Industrial and Applied Mathematics   Vol. 5 ( 4 ) page: 343 - 360   1995

     More details

    Authorship:Lead author, Corresponding author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  104. Observations on behaviours of the Bi-CG, CGS and Bi-CGSTAB from separating rounding errors Reviewed

    S.-L. Zhang, S. Fujino

    Transactions of Japan Society for Industrial and Applied Mathematics   Vol. 3 ( 3 ) page: 135 - 146   1993

     More details

    Authorship:Lead author   Language:Japanese   Publishing type:Research paper (scientific journal)  

  105. Orthomin(k) method for linear least squares problem Reviewed

    S.-L. Zhang, Y. Oyanagi

    Journal of Information Processing   Vol. 14 ( 2 ) page: 121 - 125   1991

     More details

    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

  106. Visualization of convergence behavior of Bi-CGSTAB method Reviewed International journal

    S. Fujino, S.-L. Zhang, M. Mori

    Supercomputer   Vol. 8 ( 6 ) page: 127 - 135   1991

     More details

    Language:English   Publishing type:Research paper (scientific journal)  

  107. A necessary and sufficient convergence condition of Orthomin(k) methods for least squares problem with weight Reviewed

    S.-L. Zhang, Y. Oyanagi

    Annals of the Institute of Statistical and Mathematics   Vol. 42 ( 4 ) page: 805 - 811   1990

     More details

    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

▼display all

Books 5

  1. 20世紀のトップ10アルゴリズム、計算科学講座2

    ( Role: Edit)

    共立出版  2022  ( ISBN:978-4-320-12267-3

     More details

    Language:Japanese Book type:Scholarly book

  2. 計算科学のための基本数理アルゴリズム、計算科学講座1

    ( Role: Edit)

    共立出版  2019  ( ISBN:978-4-320-12266-6

     More details

    Language:Japanese Book type:Scholarly book

  3. 岩波数学辞典 第4版

    多数( Role: Contributor)

    岩波書店  2007 

     More details

    Language:Japanese Book type:Dictionary, encyclopedia

  4. エンサイクロペディア電子情報通信ハンドブック、電子情報通信学会編

    多数( Role: Contributor)

    オーム社  1998 

     More details

    Language:Japanese Book type:Dictionary, encyclopedia

  5. 反復法の数理

    藤野清次、張紹良( Role: Joint author)

    朝倉書店  1996 

     More details

    Language:Japanese Book type:Scholarly book

MISC 61

  1. 行列対数関数のための二重指数関数型公式の収束率について

    立岡文理, 曽我部知広, 剱持智哉, 張紹良

    京都大学数理解析研究所講究録   Vol. 2167   page: 1 - 9   2020

     More details

    Authorship:Last author   Language:Japanese   Publishing type:Internal/External technical report, pre-print, etc.   Publisher:京都大学数理解析研究所  

  2. シフト称線形方程式に対するリスタート付きShifted Krylov部分空間法について

    今倉暁, 曽我部知広,張紹良

    京都大学数理解析研究所講究録   Vol. 1791   page: 47 - 56   2012.4

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)  

  3. On the convergence of the Jacobi-Davidson method based on a shift invariance property

    T. Miyata, T. Sogabe, S.-L. Zhang

    RIMS Kokyuroku   Vol. 1733   page: 78 - 84   2011.3

     More details

    Language:English   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)  

  4. 動的計画法に基づく密行列計算アルゴリズムの再帰的ブロック化

    深谷猛, 山本有作, 張紹良

    ハイパフォーマンスコンピューティングと計算科学シンポジウム論文集     page: 65 - 65   2011

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  5. Automatic Tuning for the Algorithm of QR Decomposition –an investigation into performance models–

    T. Fukaya, Y. Yamamoto, S.-L. Zhang

    IPSJ SIG Technical report (HPC)   Vol. 130 ( 24 ) page: 1 - 6   2011

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  6. Performance tests of linear solvers with different preconditioning techniques for computational fluid dynamics International coauthorship

    C. Luo, Z. Jiang, S.-L. Zhang

    3rd Int. Conf. Comput. Netw. Technol.   Vol. 14   page: 54 - 58   2011

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  7. A fast numerical method for generalized shifted linear systems with complex symmetric matrices

    T. Sogabe, T. Hoshi, S.-L. Zhang,T. Fujiwara

    RIMS Kokyuroku   Vol. 1719   page: 106 - 117   2010.11

     More details

    Language:English   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)  

  8. 符号回帰問題的解析矩阵進化算法 International coauthorship

    羅長童,張紹良

    Proceedings of the 14th Chinese National Symposium on Shock Waves     page: 500 - 506   2010.7

     More details

    Language:Chinese   Publishing type:Research paper, summary (national, other academic conference)  

  9. Performance Optimization and Evaluation of the Blocking Strategy for the Dense Matrix Computations

    T. Fukaya, Y. Yamamoto, S.-L. Zhang

    IPSJ SIG Technical report (HPC)   Vol. 126 ( 2 ) page: 1 - 6   2010

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  10. An integrated evolutionary algorithm for expensive global optimization International coauthorship

    C. Luo, C. Wang, Z. Jiang, S.-L. Zhang

    6th International Conference on Natural Computation     page: 2286 - 2290   2010

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  11. Performance modeling of multishift QR algorithms for the parallel solution of symmetric tridiagonal eigenvalue problems

    T. Miyata, Y. Yamamoto, S.-L. Zhang

    Lecture Notes in Computer Science   Vol. 6082   page: 401 - 412   2010

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  12. Acceleration of the Hessenberg Reduction for Nonsymmetric Eigenvalue Problems using GPU

    J. Muramatsu, Y. Yamamoto, S.-L. Zhang

    IPSJ SIG Technical report (HPC)   Vol. 126 ( 2 ) page: 1 - 6   2010

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  13. Jacobi-Davidson 法の修正方程式における近似固有値計算

    宮田考史,曽我部知広,張紹良

    計算工学講演会論文集(日本計算工学会)   Vol. 14 ( 1 ) page: 189 - 192   2009.5

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  14. A Study on Automatic Tuning for Parallel Computation of the Blocked Householder QR Decomposition

    T. Fukaya, Y. Yamamoto, S.-L. Zhang

    IPSJ SIG Technical report (HPC)   Vol. 121 ( 18 ) page: 1 - 7   2009

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  15. On the use of the QMR SYM method for solving complex symmetric shifted linear systems

    T. Sogabe, S.-L. Zhang

    RIMS Kokyuroku   Vol. 1614   page: 124 - 135   2008.10

     More details

    Language:English   Publishing type:Rapid communication, short report, research note, etc. (scientific journal)  

  16. A Modification of Implicit Wavelet Sparse Approximate Inverse Preconditioner Based on a Block Finger Pattern Reviewed

    A. Imakura, T. Sogabe, S.-L. Zhang

    Frontiers of Computational Science 2008, eds. Y. Kaneda, M. Sasai, and K. Tachibana, Nagoya University     page: 271 - 278   2008

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  17. Performance and accuracy of the AllReduce algorithm for the Householder QR factorization

    D. Mori, Y. Yamamoto, S.-L. Zhang

    IPSJ SIG Technical report   Vol. 99 ( HPC-117 ) page: 25 - 29   2008

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  18. A Genetic Algorithm for Finding Minimal Multi-homogeneous Bezout Number International coauthorship International journal

        page: 301 - 305   2008

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  19. Low Dimensional Reproduction Strategy for Real-Coded Evolutionary Algorithms International coauthorship International journal

    C. Luo, S.-L. Zhang, B. Yu

    7th IEEE/ACIS International Conference on Computer and Information Science     page: 334 - 339   2008

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:IEEE/ACIS  

  20. A dynamic programming approach to optimizing the blocking strategy for the Householder QR decomposition International journal

    T. Fukaya, Y. Yamamoto, S.-L. Zhang

    2008 IEEE International Conference on Cluster Computing     page: 402 - 410   2008

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:IEEE  

  21. Numerical algorithms for solving shifted complex symmetric linear system Invited Reviewed

    T. Sogabe, S.-L. Zhang

    Proceedings of the National Institute for Mathematical Sciences   Vol. 3 ( 9 ) page: 145 - 158   2008

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  22. On an application of the QMR_SYM method to complex symmetric shifted linear systems

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    PAMM: Proc. Appl. Math. Mech.   Vol. 7   page: 2020081 - 2020082   2007

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  23. 非対称行列用共役残差法に基づく積型反復解法

    阿部邦美,曽我部知広,藤野清次,張紹良

    ハイパフォーマンスコンピューティングと計算科学シンポジウムHPSC(2007)     page: 17 - 24   2007

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  24. A numerical method for calculating the Green's function arising from electronic structure theory Invited Reviewed

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    Frontiers of Computational Science, eds. Y. Kaneda, H. Kawamura and M. Sasai, Springer-Verlag, Berlin/Heidelberg     page: 189 - 195   2007

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  25. CRS: a fast algorithm based on Bi-CR for solving nonsymmeric linear systems

    T. Sogabe, S.-L. Zhang

    Hokkaido University Technical Report Series in Mathematics(Proceedings of the First China-Japan-Korea Joint Conference on Numerical Mathematics and the Second East Asia SIAM Symposium)   Vol. 112   page: 15 - 18   2006

     More details

    Language:English   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:Hokkaido University  

  26. A Variant of Orthomin(m) Method for Solving Linear Systems

    K. Abe, S.-L. Zhang

    ICNAAM 2006 proceedings     page: 15 - 18   2006

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:WILEY-VCH  

  27. An iterative method based on an A-biorthogonalization process for nonsymmetric linear systems Reviewed

    T. Sogabe, S.-L. Zhang

    Proceedings of The 7th China-Japan Seminar on Numerical Mathematics, eds. Z.-C. Shi and H. Okamoto, Science Press, Beijing     page: 120 - 130   2006

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  28. A numerical study for effects of inner solvers in variable preconditioned GCR International journal

    K. Abe, S.-L. Zhang

    ICNAAM 2005 proceedings     page: 324 - 327   2005

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:WILEY-VCH  

  29. 特異な行列のためのOrthomin(m)法

    阿部邦美,張紹良

    数理解析研究所講究録   Vol. 1441   page: 89 - 102   2005

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  30. Product-type Krylov-subspace Solvers for Nonsymmetric Linear Systems Invited

    S.-L. Zhang, K. Abe

    Proceedings of the 10th Chinese National Symposium on Shock Wave     page: 1 - 7   2004.7

     More details

    Language:English   Publishing type:Research paper, summary (national, other academic conference)   Publisher:The Chinese Society of Theoretical and Applied Mechanics  

  31. Bi-CR法の積型解法について

    曽我部知広,張紹良

    京都大学数理解析研究所講究録   Vol. 1362   page: 22 - 30   2004.4

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)  

  32. Extended conjugate residual methods for solving nonsymmetric linear systems Invited Reviewed International journal

    T. Sogabe, S.-L. Zhang

    Numerical Linear Algebra and Optimization, ed. Y. Yuan(Proceedings of the 2003 International Conference on Numerical Optimization and Numerical Linear Algebra)     page: 88 - 99   2004

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:Science Press, Beijing/NewYork  

  33. COCG法の積型解法について

    曽我部知広,藤野清次,張紹良

    京都大学数理解析研究所講究録   Vol. 1320   page: 201 - 211   2003.5

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)  

  34. A strategy of fast solvers for elliptic boundary value problems International journal

    K. Abe, S.-L. Zhang

    Shock Wave/Vortex Interaction     page: 169 - 177   2003

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  35. Effect on spectral properties by the splitting correction preconditioning for linear systems that arise from periodic boundary problems International journal

        page: 234 - 243   2002

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  36. A CGS-like method for solving nonsymmetriclinear systems International journal

    C.-H. Jin, S.-L. Zhang, H. Imai

    Proceedings of the Fifth China-Japan Seminar on Numerical Mathematics     page: 147 - 153   2002

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:Science Press  

  37. Generalized conjugate residual method for solving large and dense linear systems in semidefinite programming International journal

    S.L. Zhang, K. Nakata

    Proceedings of the Fifth China-Japan Seminar on Numerical Mathematics     page: 234 - 241   2002

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:Science Press  

  38. 残差最小性に基づくKrylov 部分空間解法に対する可変的前処理

    阿部邦美,張紹良

    数理解析研究所講究録   Vol. 1265   page: 118 - 128   2001

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  39. 半正定値計画問題に現れる密行列のための一般化共役残差法

    張紹良,中田和秀,新田義寛

    数理解析研究所講究録   Vol. 1198   page: 186 - 194   2001

     More details

    Authorship:Lead author   Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  40. GCR法に対する可変的前処理法の性能評価

    阿部邦美,張紹良,長谷川秀彦,姫野龍太郎

    数理解析研究所講究録   Vol. 1198   page: 195 - 203   2001

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  41. Spectral properties by using splitting correction preconditioner for linear systems that arise from periodic boundary problems

    S. Itoh, S.-L. Zhang, Y. Oyanagi, M. Natori

    Proceedings of 2000 International Conference on Information Society in the 21st Century (2000)     page: 425 - 431   2000

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  42. Observations of the influence of rounding errors in the variants of the Bi-CG method

    K. Abe, S.-L. Zhang, S. Fujino

    the Proceedings of RIKEN Symposium on Linear Algebra and its Applications (1999)     page: 136 - 143   1999.11

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  43. A Variant of CGS for the Solutions of Nonsymmetric Linear Systems

    C.-H. Jin, S.-L. Zhang, H. Imai

    the Proceedings of RIKEN Symposium on Linear Algebra and its Applications (1999)     page: 129 - 135   1999.11

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  44. Product-type Krylov-subspace Solutions of NonHermitian Linear Systems

    S.-L. Zhang

    the Proceedings of RIKEN Symposium on Linear Algebra and its Applications (1999)     page: 125 - 128   1999.11

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  45. 半正定値計画問題での大規模線形方程式系に対する前処理付き共役勾配法

    中田和秀,張紹良,小島政和

    数理解析研究所講究録   Vol. 1114   page: 172 - 183   1999

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  46. Iterative methods for solving linear singular systems International journal

    S.-L. Zhang, Y. Oyanagi, M. Sugihara, M. Natori

    Proceedings of the Third China-Japan Joint Seminar on Numerical Mathematics     page: 305 - 313   1998

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:Science Press  

  47. Product-type Krylov-subspace methods for solving nonsymmetric linear systems

    S.-L. Zhang, M. Natori, C.-H. Jin

    Recent Developments in Domain Decomposition Methods and Flow Problems, GAKUTO International Series, Mathematical Sciences and Applications   Vol. 11   page: 95 - 106   1998

     More details

    Authorship:Lead author   Language:English   Publishing type:Research paper, summary (international conference)  

  48. 大規模な連立一次方程式に対するベクトル計算機向けの効率的な解法

    伊藤祥司,張紹良,名取亮

    月刊地球(地球科学における大規模計算特集号)   Vol. 20 ( 12 ) page: 762 - 767   1998

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  49. ランク落ちの連立一次方程式について

    阿部邦美,張紹良,杉原正顕,三井斌友

    月刊地球(地球科学における大規模計算特集号)   Vol. 20 ( 12 ) page: 799 - 803   1998

     More details

    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  50. Some product-type Krylov subspace methods for solving nonsymmetric linear systems International journal

    Advances in Numerical Mathematics, Lecture Notes in Num. Appl. Anal. (Proceedings of the Second Japan-China Joint Seminar on Numerical Mathematics)   Vol. 14   page: 275 - 278   1995

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:Kinokuniya  

  51. 非対称行列の積型反復解法をめぐって

    張紹良

    数理解析研究所講究録   Vol. 880   page: 44 - 52   1994

     More details

    Authorship:Lead author, Last author, Corresponding author   Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  52. The use of GPBi-CG for nonsymmetric linear systems

    S.-L. Zhang

    Advances in Numerical mehtods for Large Sparse Sets of Linear Equations(Proceedings of the International Symposium on Matrix Analysis and Parallel Computing)     page: 101 - 111   1994

     More details

    Authorship:Lead author   Language:English   Publishing type:Research paper, summary (international conference)  

  53. ランチョス・プロセスに基づく積型反復解法とその一般化

    張紹良

    数理解析研究所講究録   Vol. 832   page: 86 - 103   1993

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  54. Necessary and sufficient conditions for convergence of conjugate residual-like methods for solving singular systems

    S.-L. Zhang, S. Fujino, Y. Oyanagi

    Proceedings of the Copper Mountain Conference on Iterative Methods     1992.4

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  55. Analysis on convergence behaviour of the CGS and Bi-CGSTAB method International journal

    S.Fujino, S.-L. Zhang

    Computer Arithmetic and Enclosure Methods (Proceedings of the Third International IMACS-GAMM Symposium on Computer Arithmetic and Scientific Computing)     page: 381 - 390   1992

     More details

    Language:English   Publishing type:Research paper, summary (international conference)   Publisher:North-Holland  

  56. 大規模な最小二乗問題とスーパーコンピューティング

    張紹良,小柳義夫

    第5回日本計算機統計学会シンポジウム論文集     page: 67 - 68   1991.11

     More details

    Authorship:Lead author   Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

  57. Bi-CGSTAB法の収束過程の可視化

    藤野清次, 張紹良,森正武

    数理解析研究所講究録   Vol. 791   page: 16 - 30   1991

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  58. Visualization of convergence behaviour of Bi-CGSTAB method

    S. Fujino, S.-L. Zhang, M. Mori

    Proceedings of International Symposium on Supercomputer(1991)     page: 213 - 218   1991

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

  59. 三次元圧縮性流体解析に現れるブロック五重対角行列群について

    張紹良

    数理解析研究所講究録   Vol. 746   page: 29 - 36   1991

     More details

    Language:Japanese   Publisher:数理解析研究所  

  60. CGS法とBi-CGSTAB法の残差多項式

    張紹良,藤野清次

    数理解析研究所講究録   Vol. 791   page: 1 - 15   1991

     More details

    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)   Publisher:数理解析研究所  

  61. Conjugate residual methods for least squares problem

    Y. Oyanagi, S.-L. Zhang

    Proceedings of the First IASC World Conference on Computational Statistics and Data Analysis(1987)     page: 167 - 174   1987

     More details

    Language:English   Publishing type:Research paper, summary (international conference)  

▼display all

Presentations 218

  1. Shifted LOPBiCG 法のハイブリッド並列化と性能評価

    萬本遼太郎,深谷猛,佐竹祐樹,曽我部知広,剱持智哉,張紹良

    情報処理学会 第198回HPC・第14回QS合同研究発表会  2025.3.19  情報処理学会

     More details

    Event date: 2025.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:北海道大学   Country:Japan  

  2. DE型積分公式に基づく行列関数計算法のデフレーションとその丸め誤差解析

    今倉暁, 山本有作, 立岡文理, 曽我部知広, 張紹良

    日本応用数理学会 第21回連合発表会  岡山大学・日本応用数理学会

     More details

    Event date: 2025.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:岡山  

  3. DE型積分公式に基づく行列関数計算の収束性改善のための部分固有対デフレーション技術

    今倉暁, 山本有作, 立岡文理, 曽我部知広, 張紹良

    RIMS共同研究(公開型)計算科学に資する数値解析額の展開  京都大学

     More details

    Event date: 2024.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都  

  4. Locally orthogonal iterative methods based on Bi-CG for solving nonsymmetric shifted linear systems International conference

    R.-J. Zhao, T. Sogabe, T. Kemmochi, S.-L. Zhang

    Workshop on Numerical Analysis 2024  Nagoya University

     More details

    Event date: 2024.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagoya   Country:Japan  

  5. Tensor block product-type methods for solving Sylvester tensor equations with multiple right-hand sides International conference

    J. Niu, T. Sogabe, L. Du, T.Kemmochi, S.-L. Zhang

    Workshop on Numerical Analysis 2024 

     More details

    Event date: 2024.10

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  6. Locally orthogonal iterative methods based on Bi-CG for solving nonsymmetric shifted linear systems International conference

    R.-J. Zhao, T. Sogabe, T. Kemmochi, S.-L. Zhang

    Dalian International Conference on Mathematics 2024 

     More details

    Event date: 2024.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Dalian University of Technology (Dalian)   Country:China  

  7. DE積分型行列関数計算法に対する部分固有対デフレーションに基づく収束性改善およびその性能評価

    今倉暁, 山本有作, 立岡文理, 曽我部知広, 張紹良

    日本応用数理学会 2024年度 年会  京都大学・日本応用数理学会

     More details

    Event date: 2024.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都  

  8. 行列方程式に対する低ランク型Krylov部分空間法のための前処理について

    佐竹祐樹,曽我部知広,剱持智哉,張紹良

    日本応用数理学会 2024年度 年会  2024.9.15  日本応用数理学会

     More details

    Event date: 2024.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  9. 非対称シフト線形方程式のための局所直交条件を用いる反復解法

    趙仁傑, 曽我部知広, 剱持智哉, 張紹良

    2024年度数値解析・HPC研究集会  名古屋大学

     More details

    Event date: 2024.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:愛知県美浜自然の家   Country:Japan  

  10. DE型積分公式に基づく行列関数計算に対するデフレーションによる収束性改善

    今倉暁, 山本有作, 立岡文理, 曽我部知広, 張紹良

    数値解析シンポジウム2024  岩手大学

     More details

    Event date: 2024.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:盛岡  

  11. GPBi-CG revisited: a hybrid of the CGS method and the GPBi-CG method for nonsymmetric linear systems International conference

    T. Sogabe, S.-L. Zhang

    9th European Congress on Computational Methods in Applied Sciences and Engineering  the Lisbon Congress Centre

     More details

    Event date: 2024.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Lisboa   Country:Portugal  

  12. 非対称シフト線形方程式のための反復法 ―Shfited BiCGStab法に基づいて―

    趙仁傑, 曽我部知広, 剱持智哉, 張紹良

    日本応用数理学会 若手の会 第9回学生研究発表会  日本応用数理学会

     More details

    Event date: 2024.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:アオーレ長岡(新潟県長岡市)   Country:Japan  

  13. Tensor block product-type methods for solving Sylvester tensor equations with multiple right-hand sides International coauthorship

    J. Niu, T. Sogabe, L. Du, T. Kemmochi, S.-L. Zhang

     More details

    Event date: 2024.3

    Language:English   Presentation type:Poster presentation  

    Country:Japan  

  14. A shifted LOPBiCG method for solving nonsymmetric shifted linear system International conference

    R.-J. Zhao, T. Sogabe, T. Kemmochi, S.-L. Zhang

    ICIAM 2023  ICIAM

     More details

    Event date: 2023.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Waseda University (Tokyo)   Country:Japan  

  15. Tensor product-type methods for solving Sylvester tensor equations International coauthorship International conference

    J. Niu, T. Sogabe, L. DU, T. Kemmochi, S.-L. Zhang

    ICIAM 2023  2023.8.23  ICIAM

     More details

    Event date: 2023.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Waseda University   Country:Japan  

  16. Tensor product-type methods for solving tensor Sylvester tensor equations International coauthorship

    J. Niu, T. Sogabe, L. Du, T. Kemmochi, S.-L. Zhang

    2023.7.13 

     More details

    Event date: 2023.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  17. 行列方程式に対する反復法のためのテンソル構造保存型前処理について

    佐竹祐樹,曽我部知広,剱持智哉,張紹良

    日本応用数理学会 2022年度 年会  2022.9.8  日本応用数理学会

     More details

    Event date: 2022.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:北海道大学   Country:Japan  

  18. 非対称シフト線形方程式のためのBiCGStab法に基づく数値解法

    趙仁傑, 曽我部知広, 剱持智哉, 張紹良

    日本応用数理学会 2022年度 年会  日本応用数理学会

     More details

    Event date: 2022.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:北海道大学   Country:Japan  

  19. 行列実数乗の数値積分に対する定数倍の前処理について

    立岡文理, 曽我部知広, 剱持智哉, 張紹良

    日本応用数理学会2021年度年会  2021.9.9  日本応用数理学会

     More details

    Event date: 2021.9

    Language:Japanese   Presentation type:Oral presentation (general)  

  20. 画像処理における畳み込みの逆演算の存在性について

    佐竹祐樹,曽我部知広,剱持智哉,張紹良

    日本応用数理学会 若手の会 第2回若手研究交流会  2021.9.6  日本応用数理学会

     More details

    Event date: 2021.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:オンライン開催   Country:Japan  

  21. Computing the matrix fractional power based on the double exponential formula International conference

    F. Tatsuoka, T. Sogabe, Y. Miyatake, T. Kemmochi, S.-L. Zhang

    SIAM Conference on Applied Linear Algebra (SIAM LA21)  2021.5.20  SIAM

     More details

    Event date: 2021.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:online  

  22. クラスタリングのためのk-means#法の計算量削減の試み

    趙仁傑, 曽我部知広, 剱持智哉, 張紹良

    日本応用数理学会 若手の会 第6回学生研究発表会  2021.3.8  日本応用数理学会

     More details

    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:オンライン開催   Country:Japan  

  23. On a relationship between the *-congruence Sylvester equation and the generalized Sylvester equation International conference

    Y. Satake, T. Sogabe, T. Kemmochi, S.-L. Zhang

    HPC Asia 2020  2020.1.16 

     More details

    Event date: 2020.1

    Language:English   Presentation type:Poster presentation  

    Venue:Fukuoka (ACROS Fukuoka)   Country:Japan  

  24. 数値積分に基づく行列対数関数の計算について

    立岡文理, 曽我部知広, 剱持智哉, 張紹良

    RIMS共同研究 (公開型) 諸科学分野を結ぶ基礎学問としての数値解析学  2019.11.6  京都大学

     More details

    Event date: 2019.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都  

  25. 数値積分に基づく行列実数乗の計算について

    立岡文理, 曽我部知広, 張紹良

    第37回計算数理工学フォーラム  名古屋大学

     More details

    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:名古屋  

  26. 行列実数乗の計算に対する数値積分法のための前処理について

    立岡文理, 曽我部知広, 剱持智哉, 張紹良

    日本応用数理学会2019年度年会  2019.9.5  東京大学・日本応用数理学会

     More details

    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京  

  27. 行列対数関数に対する二重指数関数型公式における積分区間の設定方法について

    立岡文理, 曽我部知広, 宮武勇登, 張紹良

    日本応用数理学会 2019年度年会  2019.9.5  東京大学・日本応用数理学会

     More details

    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京  

  28. 未知の行列とその複素共役転置を同時に含むSylvester方程式について

    佐竹祐樹,曽我部知広,剱持智哉,張紹良

    日本応用数理学会 2019年度 年会  2019.9.5  日本応用数理学会

     More details

    Event date: 2019.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学駒場キャンパス   Country:Japan  

  29. On the equivalence between SOR-type methods for linear systems and Itoh–Abe-type discrete gradient methods for gradient systems International conference

     More details

    Event date: 2019.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Austria  

  30. Relation between T-congruence Sylvester equation and Lyapunov equation Invited International conference

    T. Sogabe, M. Oozawa, Y. Miyatake, S.-L. Zhang

    Conference on Mathematical, Physical and Intelligent Sciences 2019  Dalian University of Technology

     More details

    Event date: 2019.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Panjin   Country:China  

  31. On an interval truncation method of the double exponential formula for the matrix logarithm International conference

    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang

    SIAM East Asian Section Conference 2019 (EASIAM 2019)  2019.6.16  Wuhan University & SIAM East Asian Section

     More details

    Event date: 2019.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Wuhan   Country:China  

  32. 行列実数乗に対する二重指数関数型公式の定数倍による前処理について

    立岡文理, 曽我部知広, 剱持智哉, 張紹良

    第48回数値解析シンポジウム  2019.6.12  福井大学

     More details

    Event date: 2019.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:福井  

  33. 二重指数関数型公式を用いた行列対数関数の計算について

    立岡文理, 曽我部知広, 宮武勇登, 張紹良

    日本応用数理学会 第15回 研究部会連合発表会  2019.3.4  筑波大学・日本応用数理学会

     More details

    Event date: 2019.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:つくば  

  34. A note on computing the p proot of Sinc matrices

    F. Tatsuoka, T. Okayama, S.-L. Zhang, M. Sugihara

    16th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018)  2018.9.14 

     More details

    Event date: 2018.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Rhodes   Country:Greece  

  35. 反応拡散方程式に対する修正Strang splitting解法について

    中野航輔, 宮武勇登, 剱持智哉, 曽我部知広, 張紹良

    日本応用数理学会2018年度年会  日本応用数理学会

     More details

    Event date: 2018.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:名古屋大学   Country:Japan  

  36. Recent progress on numerical algorithms for large eigenvalue problems Invited International conference

    T. Sogabe, D. Lee, S.-L. Zhang

    The Workshop on Computational Methods for Eigenvalue Problems  Jilin University

     More details

    Event date: 2018.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Changchun   Country:China  

  37. Computation of the matrix logarithm using the double exponential formula International conference

    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang

    Numerical Analysis and Scientific Computation with Applications (NASCA 2018)  2018.7.5 

     More details

    Event date: 2018.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Kalamata   Country:Greece  

  38. Computation of the matrix fractional power based on the double exponential formula International conference

    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang

    SIAM East Asian Section Conference 2018 (EASIAM 2018)  2018.6.24  University of Tokyo & SIAM East Asian Section

     More details

    Event date: 2018.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  39. T-congruence Sylvester方程式と一般化Sylvester方程式の関係について

    佐竹祐樹,曽我部知広,宮武勇登,剱持智哉,張紹良

    第47回数値解析シンポジウム(NAS2018)  2018.6.6 

     More details

    Event date: 2018.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:福井県あわら市   Country:Japan  

  40. ウルフ条件を利用した適応型SOR法

    宮武勇登, 曽我部知広, 張紹良

    第47回数値解析シンポジウム(NAS2018)  

     More details

    Event date: 2018.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:福井   Country:Japan  

  41. Solving the k-th eigenvalue problem in large-scale electronic structure Calculations International conference

    D. Lee, T. Hoshi, T. Sogabe, Y.Miyatake, S.-L. Zhang

    18th SIAM Conference on Parallel Processing for Scientific Computing  Waseda University

     More details

    Event date: 2018.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  42. SOR法の緩和パラメータの幾何学的解釈

    宮武勇登, 曽我部知広, 張紹良

    日本応用数理学会 第14回 研究部会連合発表会,  日本応用数理学会

     More details

    Event date: 2018.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:大阪   Country:Japan  

  43. SOR法と離散勾配法の関係と緩和パラメータに関する考察

    宮武勇登, 曽我部知広, 張紹良

    応用数学合同研究集会 

     More details

    Event date: 2017.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:瀬田   Country:Japan  

  44. A fast and stable variant of incremental Newton iteration for the matrix pth root International conference

    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang

    SIAM East Asian Section Conference 2017 (EASIAM 2017)  2017.6.24  Seoul National University & SIAM East Asian Section

     More details

    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul   Country:Korea, Republic of  

  45. On the equivalence between the SOR-type methods and the Itoh Abe discrete gradient methods International conference

    Y. Miyatake, T. Sogabe, S.-L. Zhang

    SIAM: East Asian Section Conference 2017  SIAM: East Asian Section

     More details

    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul   Country:Korea, Republic of  

  46. An eigenvalue problem in electronic structure calculations and its solution by spectrum slicing International conference

    D. Lee, T. Hoshi, Y. Miyatake, T. Sogabe, S.-L. Zhang

    SIAM: East Asian Section Conference 2017  SIAM: East Asian Section

     More details

    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul   Country:Korea, Republic of  

  47. A fast and stable Incremental Newton iteration for the matrix pth root International conference

    F. Tatsuoka, T. Sogabe, Y. Miyatake, S.-L. Zhang

    SIAM: East Asian Section Conference 2017  SIAM: East Asian Section

     More details

    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul   Country:Korea, Republic of  

  48. Dirichlet 境界条件下の偏微分方程式に対する splitting 解法の収束性劣化の改善案

    中野航輔, 宮武勇登, 曽我部知広, 張紹良

    第46回数値解析シンポジウム 

     More details

    Event date: 2017.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:滋賀   Country:Japan  

  49. Iterative solvers based on the discrete gradient method for symmetric positive definite linear systems International conference

    Y. Miyatake, T. Sogabe, S.-L. Zhang

    19h International Conference on Finite Elements in Flow Problems - FEF 2017 

     More details

    Event date: 2017.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Rome   Country:Italy  

  50. 行列 p 乗根のためのNewton法の高速化について

    立岡文理, 曽我部知広, 宮武勇登, 張紹良

    日本応用数理学会 第13回 研究部会連合発表会  2017.3.6  電気通信大学・日本応用数理学会

     More details

    Event date: 2017.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:調布  

  51. 勾配系の数値計算に基づく線形方程式の数値解法の生成について

    宮武勇登, 曽我部知広, 張紹良

    RIMS研究集会:現象解明に向けた数値解析学の新展開 II,  RIMS

     More details

    Event date: 2016.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  52. A block Krylov subspace method for shifted linear systems with complex symmetric matrices International conference

    T. Sogabe, S.-L. Zhang

    International Conference on Information and Computational Science (ICICS2016)  Dalian University of Technology

     More details

    Event date: 2016.8

    Language:English   Presentation type:Oral presentation (keynote)  

    Venue:Dalian   Country:China  

  53. A bisection approach combined with a projection method for interior eigen-value problems in materials science International conference

    D. Lee, T. Hoshi, Y. Miyatake, T. Sogabe, S.-L. Zhang

    SIAM: East Asian Section Conference 2016  SIAM: East Asian Section

     More details

    Event date: 2016.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Macau   Country:China  

  54. 行列p乗根のためのIncrement型Newton法について

    立岡文理, 曽我部知広, 宮武勇登, 張紹良

    第45回数値解析シンポジウム(NAS2016)  2016.6.9  電気通信大学

     More details

    Event date: 2016.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:霧島  

  55. A block variant of the COCG method for generalized shifted linear systems with multiple right-hand sides Invited International conference

    T. Sogabe, S.-L. Zhang

    13th U.S. National Congress on Computational Mechanics (USNCCM13)  Manchester Grand Hyatt

     More details

    Event date: 2015.7

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:San Diego   Country:United States  

  56. 制御理論に現れる最小特異値を用いた関数の極値問題について

    成瀬由基, 曽我部知広, 宮武勇登, 張紹良

    日本応用数理学会「行列・固有値問題の解法とその応用」研究部会 第20回研究会  日本応用数理学会

     More details

    Event date: 2015

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  57. 非エルミート行列向け固有値解法のGPUによる高速化

    西澤慶亮, 宮田考史, 張紹良

    SWoPP新潟2014 

     More details

    Event date: 2014.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  58. フォトニクス結晶の応用に現れる固有値問題の数値解法について

    宮田考史,張紹良

    コンピューティクスによる物質デザイン:複合相関と非平衡ダイナミクス 

     More details

    Event date: 2014.3

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  59. 電子構造計算における内部固有値問題の数値解法

    李東珍, 宮田考史,曽我部知広,星健夫,張紹良

    コンピューティクスによる物質デザイン:複合相関と非平衡ダイナミクス 

     More details

    Event date: 2014.3

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  60. Development of an Eigen-Supercomputing Engine using a Post-Petascale Hierarchical Model International conference

    T. Sakurai, S.-L. Zhang, T. Imamura, Y. Yamamoto, Y. Kuramashi, T. Hoshi

    International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing 

     More details

    Event date: 2014.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  61. A numerical approach to interior eigenvalue problems in electronic structure calculations International conference

    D. Lee, T. Miyata, T, Sogabe, T. Hoshi, S.-L. Zhang

    International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing 

     More details

    Event date: 2014.3

    Language:English   Presentation type:Poster presentation  

    Country:Japan  

  62. Krylov subspace theories and one-hundred-million-atom quantum material simulations on the K computer International conference

    T. Hoshi, T. Sogabe, S.-L. Zhang, H. Imachi,

    International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014)   Tsukuba International Congress Center EPOCHAL TSUKUBA

     More details

    Event date: 2014.3

    Language:English   Presentation type:Poster presentation  

    Venue:TSUKUBA   Country:Japan  

  63. An iterative method for solving complex symmetric generalized shifted linear systems with multiple right-hand sides International conference

    T. Sogabe, S.-L. Zhang

    4th International Conference of Matrix Analysis and Applications (ICMAA2013)  

     More details

    Event date: 2013.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Turkey  

  64. An iterative method for solving complex symmetric generalized shifted linear systems with multiple right-hand sides International conference

    T. Sogabe, S.-L. Zhang

    The 4th International Conference on Matrix Analysis and Applications  Dedeman Hotel

     More details

    Event date: 2013.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Konya   Country:Turkey  

  65. 電子構造計算に現れる固有値問題の数値解法について

    李東珍, 宮田考史, 曽我部知広, 星健夫, 張紹良

    コンピューティクスによる物質デザイン:複合相関と非均衡ダイナミクス 

     More details

    Event date: 2013.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  66. An interior eigenvalue problem and its numerical solution International conference

    D. Lee, T. Miyata,T. Hoshi, S.-L. Zhang

    The 9th East Asia SIAM Conference & The 2nd Conference on Industrial and Applied Mathematics 

     More details

    Event date: 2013.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Indonesia  

  67. 中間固有値問題とその数値解法

    李東珍, 宮田考史, 星健夫, 張紹良

    数値解析シンポジウム 

     More details

    Event date: 2013.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  68. An intermediate eigenvalue problem in electronic structure calculation International conference

    S.-L. Zhang, D. Lee, T. Miyata, T. Sogabe

    The 4th Workshop on Numerical Algebra and High Performance Computation 

     More details

    Event date: 2012.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Macao  

  69. Ten-million-atom electronic structure calculations with novel linear-algebraic algorithm and the K computer Invited International conference

    T. Hoshi, S. Yamamoto, T. Fujiwara, T. Sogabe, S.-L. Zhang, Y. Akiyama, T. Ohno

    International Symposium on Computics: Quantum Simulation and Design (ISC-QSD)  Osaka University Hall

     More details

    Event date: 2012.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Osaka   Country:Japan  

  70. Krylov subspace methods for generalized shifted linear systems arising in large-scale electronic structure calculation International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    International Symposium on Computics: Quantum Simulation and Design (ISC-QSD)  Osaka University Hall

     More details

    Event date: 2012.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Osaka   Country:Japan  

  71. A numerical approach to obtaining intermediate eigenvalues in electronic structure calculations International conference

    D. Lee, T.Miyata, T. Sogabe, T. Hoshi, S.-L. Zhang

    International Symposium on Computics: Quantum Simulation and Design (ISC-QSD)  Osaka University Hall

     More details

    Event date: 2012.10

    Language:English   Presentation type:Poster presentation  

    Venue:Osaka   Country:Japan  

  72. 指定された絶対値を有する複素固有値の計算について

    宮田考史, 張紹良

    RIMS研究集会「次世代計算科学の基盤技術とその展開」 

     More details

    Event date: 2012.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  73. Numerical methods for generalized shifted linear systems with complex symmetric matrices Invited International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    4th China-Japan-Korea Conference on Numerical Mathematics 

     More details

    Event date: 2012.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Otsu   Country:Japan  

  74. Jacobi-Davidson Type Methods Using a Shift Invariance Property of Krylov Subspaces for Eigenvalue Problems International conference

    T. Miyata, T. Sogabe, S.-L. Zhang

    2012 SIAM Conference on Applied Linear Algebra  Polytechnic University of Valencia & SIAM

     More details

    Event date: 2012.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Valencia   Country:Spain  

  75. Look-Back GMRES(m) Method for Solving Large Nonsymmetric Linear Systems International conference

    S.-L. Zhang, A. Imakura, T. Sogabe

    Numerical Linear Algebra - Algorithms, Applications 

     More details

    Event date: 2012.4

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Netherlands  

  76. Krylov subspace methods for solving generalized shifted linear systems Invited International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    International Workshop on Computational Science and Numerical Analysis  The University of Electro-Communications

     More details

    Event date: 2012.3

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Tokyo   Country:Japan  

  77. Novel linear-algebraic theories in large-scale electronic structure calculation and its application to nano-materials Invited International conference

    T. Hoshi, T. Sogabe, S. Yamamoto, S. Nishino, T. Fujiwara, S.-L. Zhang, Y. Yamamoto

    Dresden-Kobe Joint Workshop on Electronic Simulations for Nanosystems  Kobe University

     More details

    Event date: 2012.3

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Kobe   Country:Japan  

  78. GMRES(m) method with Look-Back restart for solving nonsymmetric linear systems International conference

    S.-L. Zhang, A. Imakura, T. Sogabe

    the 2011 Workshop on Scientific Computing 

     More details

    Event date: 2011.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Macao  

  79. A Numerical Method for Eigenvalue Computations in a Multiply Connected Domain International conference

    S.-L. Zhang, T. Miyata, T. Sogabe

    School of Mathematical Sciences 

     More details

    Event date: 2011.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  80. An Arnoldi-like Approach for Generalized Eigenvalue Problem International conference

    S.-L. Zhang, T. Miyata, T. Sogabe

    The 8th International Conference on NTmerical Optimization and Numerical Linear Algebra 

     More details

    Event date: 2011.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  81. 大規模固有値問題に対する基盤技術の数理的開発

    張 紹良

    並列固有値解析研究会 

     More details

    Event date: 2011.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  82. Look-Back GMRES(m) for Solving Nonsymmetric Linear Systems International conference

    S.-L. Zhang, A. Imakura, T. Sogabe

    Department of Mathematics 

     More details

    Event date: 2011.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Taiwan, Province of China  

  83. An Arnoldi( M, W, G ) Approach for Generalized Eigenvalue Problems International conference

    S.-L.Zhang,T. Miyata,T. Sogabe and T. Yamashita

    National Center of Theoretical Science & Department of Mathematics 

     More details

    Event date: 2011.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Taiwan, Province of China  

  84. Iterative Solutions of Large Nonsymmetric Linear Systems ---Two Attempts to Improve Bi-CG--- International conference

    S.-L.Zhang and T. Sogabe

    Taida Institute for Mathematical Sciences National 

     More details

    Event date: 2011.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Taiwan, Province of China  

  85. A Projection Approach Based on the Residue Theorem for Generalized Eigenproblems within a Multiply Connected Domain International conference

    S.-L.Zhang and T. Miyata

    Center of Mathematical Modeling and Scientific Computing 

     More details

    Event date: 2011.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Taiwan, Province of China  

  86. 多重連結領域内の固有値計算に対する一つの試み

    張紹良,宮田考史

    大規模計算コロキウム 

     More details

    Event date: 2011.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  87. A variant of the IDR(s) method with quasi-minimal residual strategy International conference

    L. Du, T. Sogabe, S.-L. Zhang

    The 7th East Asia SIAM Conference & RIMS Workshop on Methods in Industrial and Applied Mathematics  Waseda University

     More details

    Event date: 2011.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Waseda University Kitakyushu Campus   Country:Japan  

  88. A projection approach to complex eigenvalues of a specified absolute value International conference

    T. Miyata, L. Du, T. Sogabe, Y. Yamamoto, S.-L. Zhang

    The 7th East Asia SIAM Conference & RIMS Workshop on Methods in Industrial and Applied Mathematics  Waseda University

     More details

    Event date: 2011.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Waseda University Kitakyushu Campus   Country:Japan  

  89. デフレーションを用いたGMRES(m)法に対するLOOK-BACK型のリスタートの適用

    楊 済栄, 今倉 暁, 曽我部 知広, 張 紹良

    日本応用数理学会「行列・固有値の解法とその応用」研究部会 第10回研究会  日本応用数理学会

     More details

    Event date: 2010.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:NII   Country:Japan  

  90. Jacobi-Davidson 法の収束性について -- シフト不変性に基づく改良

    宮田考史,曽我部知広,張紹良

    数理研・研究集会 「科学技術計算アルゴリズムの数理的基盤と展開 」  RIMS

     More details

    Event date: 2010.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  91. 一般化シフト線形方程式に対する重み付き準最小残差法

    曽我部知広,星健夫,張紹良,藤原毅夫

    数理研・研究集会 「科学技術計算アルゴリズムの数理的基盤と展開 」  RIMS

     More details

    Event date: 2010.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  92. On a cost-efficient iteration of Ye’s hybrid method for minimizing a quadratic function over a sphere constraint International conference

    T. Sogabe, A. Suzuki, S.-L. Zhang

    2nd IMA Conference on Numerical Linear Algebra and Optimization  University of Birmingham

     More details

    Event date: 2010.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Birmingham   Country:United Kingdom  

  93. 複素対称行列を係数に持つ一般化シフト線形方程式の数値解法

    曽我部知広,星健夫,張紹良,藤原毅夫

    日本応用数理学会 2010年度 年会  日本応用数理学会

     More details

    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:明治大学   Country:Japan  

  94. 一般化固有値問題に関するArnoldi法の拡張

    山下達也,宮田孝史,曽我部知広,張紹良

    日本応用数理学会 2010年度 年会  日本応用数理学会

     More details

    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:明治大学   Country:Japan  

  95. 準最小残差スムージングテクニックを用いたIDR(s)法

    杜磊, 曽我部 知広, 張 紹良

    日本応用数理学会 2010年度 年会  日本応用数理学会

     More details

    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:明治大学   Country:Japan  

  96. Look-Back GMRES(m)法の収束の振る舞いについて

    今倉 暁, 曽我部 知広, 張 紹良

    日本応用数理学会 2010年度 年会  日本応用数理学会

     More details

    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:明治大学   Country:Japan  

  97. 符号回帰問題的解析矩阵進化算法 International coauthorship

    羅長童,張紹良

    中国力学学会

     More details

    Event date: 2010.7

    Language:Chinese   Presentation type:Oral presentation (general)  

    Venue:黄山   Country:China  

  98. GMRES(m) Method with Look-Back-type Restart for Solving Nonsymmetric Linear Systems Invited International conference

    S.-L. Zhang, A. Imakura, T. Sogabe

    The 7th International Conference on Scientific Computing and Application 

     More details

    Event date: 2010.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Dalian   Country:China  

  99. A Look-Back Technique of Restart for the GMRES(m) Method Invited International conference

    A. Imakura, T. Sogabe, S.-L. Zhang

    Applied Linear Algebra - in honor of Hans Schneider  University of Novi Sad

     More details

    Event date: 2010.5

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Novi Sad   Country:Serbia  

  100. A Krylov subspace method for the correction equation in the Jacobi--Davidson method -- Based on a Shift Invariance Property of the Krylov Subspace on a Projected Space -- International conference

    T. Miyata, T. Sogabe, S.-L. Zhang

    Numerical Linear Algebra Seminar 

     More details

    Event date: 2010.5

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  101. A quasi-minimal residual variant of the IDR(s) method for nonsymmetric linear systems

    L. Du, T. Sogabe, S.-L. Zhang

     More details

    Event date: 2010.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  102. 実対称一般化固有値問題に対するArnoldi(M,W)法

    山下達也,宮田孝史,曽我部知広,張紹良

    第39回数値解析シンポジウム 

     More details

    Event date: 2010.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:鳥羽   Country:Japan  

  103. 非対称線形方程式のためのLook-Back GMRES(m)法 -誤差方程式に基づくGMRES(m)法の拡張-

    今倉 暁, 曽我部 知広, 張 紹良

    日本応用数理学会 2010年 研究部会 連合発表会  日本応用数理学会

     More details

    Event date: 2010.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:筑波大学   Country:Japan  

  104. A fast iterative method for solving generalized shifted linear systems with complex symmetric matrices International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-  University of Tokyo

     More details

    Event date: 2009.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  105. Shifted COCG method and its application to multi-orbital extended Hubbard model International conference

    S. Yamamoto, T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-  University of Tokyo

     More details

    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  106. Generalized-shifted COCG method and behavior of residual error in large-scale electronic structure calculations International conference

    H. Teng, T. Hoshi, S. Yamamoto, T. Sogabe, S.-L. Zhang, T. Fujiwara

    International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-  University of Tokyo

     More details

    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  107. An efficient method for minimizing a quadratic function with a sphere constraint International conference

    S. Suzuki, T. Sogabe, S.-L. Zhang

    International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-  University of Tokyo

     More details

    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  108. A study on the restart of the GMRES(m) method for solving nonsymmetric linear systems International conference

    A. Imakura, T. Sogabe, S.-L. Zhang

    International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-  University of Tokyo

     More details

    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  109. A block IDR(s) method for nonsymmetric linear systems with multiple right-hand sides International conference

    L. Du, T. Sogabe, S.-L. Zhang

    International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-  University of Tokyo

     More details

    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  110. A numerical algorithm for eigenvalue problems of photonic crystals International conference

    T. Miyata, L. Du, T. Sogabe, Y. Yamamoto, S.-L. Zhang

    International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-  University of Tokyo

     More details

    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  111. Large-scale electronic structure calculations and nanomaterial process International conference

    T. Hoshi, S. Yamamoto, T. Sogabe, S.-L. Zhang, S. Nishino, H. Teng, T. Fujiwara

    International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-  University of Tokyo

     More details

    Event date: 2009.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  112. Large-scale electronic structure calculation theory and applications Invited International conference

    T. Fujiwara, S. Yamamoto, T. Hoshi, T. Sogabe, S.-L. Zhang, M. Ikeda, M. Nakashima, T.Mizuno, N. Watanabe, S. Nishino

    The 3rd Theory Meets Industry International Workshop 

     More details

    Event date: 2009.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Nagoya   Country:Japan  

  113. GMRES(m)法のリスタートに対する考察およびその拡張

    今倉 暁, 曽我部 知広, 張 紹良

    日本応用数理学会「行列・固有値の解法とその応用」研究部会 第8回研究会  日本応用数理学会

     More details

    Event date: 2009.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:NII   Country:Japan  

  114. 複素対称行列を係数に持つ一般化シフト線形方程式の高速解法

    曽我部知広,星健夫,張紹良,藤原毅夫

    数理研・研究集会 「数値解析と数値計算アルゴリズムの最近の展開」  RIMS

     More details

    Event date: 2009.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  115. Large scale electronic structure calculations with ELSES International conference

    T. Hoshi, T. Fujiwara, Y. Zempo, M. Ishida, S. Yamamoto, S. Nishino, T. Sogabe, S.-L. Zhang

    IPsi-k Conference 2010 

     More details

    Event date: 2009.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Berlin   Country:Germany  

  116. 離散wavelet変換を用いた正定値対称行列のためのFSAI前処理

    早戸拓也,今倉暁,曽我部知広,張 紹良

    日本応用数理学会2009年度年会  日本応用数理学会

     More details

    Event date: 2009.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:大阪大学   Country:Japan  

  117. A look-back strategy for the GMRES(m) method International conference

    A. Imakura, T. Sogabe, S.-L. Zhang

    The 7th International Conference on Numerical Optimization and Numerical Linear Algebra 

     More details

    Event date: 2009.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Lijiang   Country:China  

  118. A fast solver for generalized shifted linear systems with complex symmetric matrices International conference

    T. Sogabe, S.-L. Zhang

    The 7th International Conference on Numerical Optimization and Numerical Linear Algebra 

     More details

    Event date: 2009.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Lijiang   Country:China  

  119. Computation of eigenvalues in multiply connected region International conference

    T. Miyata, L. Du, T. Sogabe, Y. Yamamoto, S.-L. Zhang

    The 7th International Conference on Numerical Optimization and Numerical Linear Algebra 

     More details

    Event date: 2009.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Lijiang   Country:China  

  120. A New Variant of the GMRES(m) Method for Solving Nonsymmetric Linear Systems International conference

    S.-L. Zhang, A. Imakura, T. Sogabe

    The 2nd International Conference in Mathematical Modellling and Computation and The 5th East Asia SIAM Conference  Universiti Brunei Darussalam

     More details

    Event date: 2009.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Darussalam   Country:Brunei Darussalam  

  121. Jacobi-Davidson 法の修正方程式の解法

    宮田考史,曽我部知広,張紹良

    第38回数値解析シンポジウム 

     More details

    Event date: 2009.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:熱川ハイツ, 静岡   Country:Japan  

  122. 球面制約付き二次計画問題の効率的解法について

    鈴木綾華,曽我部知広,張紹良

    第38回数値解析シンポジウム 

     More details

    Event date: 2009.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:熱川ハイツ, 静岡   Country:Japan  

  123. 残差多項式に基づいたLook-Back GMRES(m)法に対する解析

    今倉暁,曽我部知広,張紹良

    第38回数値解析シンポジウム 

     More details

    Event date: 2009.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:熱川ハイツ, 静岡   Country:Japan  

  124. An approach to fast solution of generalized shifted linear systems with complex symmetric matrices International conference

    T. Sogabe, S.-L. Zhang

    Numerical Analysis and Scientific Computing with Applications (NASCA2009) 

     More details

    Event date: 2009.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Agadir   Country:Morocco  

  125. An efficient variant of the GMRES(m) method based on error equations

    A. Imakura, T. Sogabe, S.-L. Zhang

    Numerical Analysis and Scientific Computing with Applications (NASCA2009) 

     More details

    Event date: 2009.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Agadir   Country:Morocco  

  126. Jacobi-Davidson 法の修正方程式における近似固有値計算

    宮田考史,曽我部知広,張紹良

    第14回計算工学講演会  日本計算工学会

     More details

    Event date: 2009.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  127. Novel algorithms for large-scale shifted linear equations based on Krylov subspace theory International conference

    T. Hoshi, S. Yamamoto, T. Sogabe, S.-L. Zhang, T. Fujiwara

    Supercomputing in Solid State Physics, ISSP  University of Tokyo

     More details

    Event date: 2009.2

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  128. Numerical Algorithms for Solving Shifted Complex Symmetric Linear Systems International conference

    S.-L. Zhang, T. Sogabe

    The NIMS 2008 Conference & The 4th East Asia SIAM Conference 

     More details

    Event date: 2008.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Korea, Republic of  

  129. Numerical Algorithms for Solving Shifted Complex Symmetric Linear Systems Invited International conference

    S.-L. Zhang, T. Sogabe

    The NIMS 2008 Conference & The 4th East Asia SIAM Conference  NIMS & East Asia SIAM

     More details

    Event date: 2008.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Daejeon   Country:Korea, Republic of  

  130. Jacobi-Davidson 法の修正方程式におけるシフト選択

    宮田考史,曽我部知広,張紹良

    日本応用数理学会 2008年度年会  日本応用数理学会

     More details

    Event date: 2008.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  131. GMRES(m)法と反復改良法の数理的つながり

    今倉暁,曽我部知広,張紹良

    日本応用数理学会 2008年度年会  日本応用数理学会

     More details

    Event date: 2008.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  132. GMRES(m)法のリスタートについて

    今倉 暁, 曽我部 知広, 張 紹良

    第37回数値解析シンポジウム 

     More details

    Event date: 2008.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:仙北市   Country:Japan  

  133. Extra large size linear problem solver and its application to the excitation spectra in the many-electron problem International conference

    S. Yamamoto, T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    International Conference on Quantum Simulators and Design 2008 

     More details

    Event date: 2008.5 - 2008.6

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  134. A numerical approach to the computation of Green's function in large-scale electronic structure theory Invited International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    2008 International Workshop on Numerical Verification and its Applications (INVA2008) 

     More details

    Event date: 2008.5

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Okinawa   Country:Japan  

  135. Implicit wavelet sparse approximate inverse preconditioner using blocked finger pattern for nonsymmetric linear systems International conference

    A. Imakura, T. Sogabe, S.-L. Zhang

    ALA 2008 Applied Linear Algebra-in honor of Ivo Marek  ALA

     More details

    Event date: 2008.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Novi Sad   Country:Serbia  

  136. Novel linear-algebraic algorithm and large-scale electronic structure calculation International conference

    T. Hoshi, T. Sogabe, S.-L. Zhang, S. Yamamoto, H. Nitta, N. Watanabe, Y. Zempo, T. Fujiwara

    2008 International Workshop on Riken-Harvard GPGPU Symposium 2008 

     More details

    Event date: 2008.3

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:United States  

  137. Novel linear-algebraic algorithm and large-scale electronic structure calculation Invited International conference

    T. Hoshi, T. Sogabe, S.-L. Zhang, S. Yamamoto, H. Nitta, N. Watanabe, Y. Zempo, T. Fujiwara

     More details

    Event date: 2008.3

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Harvard University   Country:United States  

  138. On an application of the QMR method to complex symmetric shifted linear systems International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    International Workshop on Large-scale Matrix Computation and Applications in Physics and Engineering Science 

     More details

    Event date: 2007.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  139. On an application of the QMR method to complex symmetric shifted linear systems Invited International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    International Workshop on Large-scale Matrix Computation and Applications in Physics and Engineering Science 

     More details

    Event date: 2007.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Tokyo   Country:Japan  

  140. On an application of the QMR method to complex symmetric shifted linear systems

    曽我部知広,張紹良

    数理研・研究集会 「計算科学の基盤技術としての高速アルゴリズムとその周辺  RIMS

     More details

    Event date: 2007.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  141. Recent development of Krylov subspace methods for the solution of complex symmetric shifted linear systems International conference

    T. Sogabe, S.-L. Zhang

    International Conference on Numerical Optimization and Numerical Linear Algebra 

     More details

    Event date: 2007.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  142. Recent development of Krylov subspace methods for the solution of complex symmetric shifted linear systems Invited International conference

    T. Sogabe, S.-L. Zhang

    International Conference on Numerical Optimization and Numerical Linear Algebra 

     More details

    Event date: 2007.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Urumqi, XinJiang   Country:China  

  143. On a weighted quasi-residual minimization strategy of QMR for solving complex symmetric shifted linear systems International conference

    T. Sogabe, S.-L. Zhang

    Harrachov 2007 -Computational Methods with Applications- 

     More details

    Event date: 2007.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Harrachov   Country:Czech Republic  

  144. Krylov subspace methods for solving complex symmetric shifted linear systems International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    The 6th International Congress on Industrial and Applied Mathematics (ICIAM07) 

     More details

    Event date: 2007.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Zurich   Country:Switzerland  

  145. Sparse approximate inverse preconditioners for complex symmetric systems of linear equations International conference

    T. Sogabe, S.-L. Zhang,

    2007 International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Scientific and Industrial Applications (Precond 2007) 

     More details

    Event date: 2007.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Toulouse   Country:France  

  146. 大規模疎行列の非線形固有値問題の数値解法

    大井幸平、水野吉規、曽我部知広、山本有作、張紹良

    第3回 日本応用数理学会「行列・固有値問題の解法とその応用」研究部会  日本応用数理学会

     More details

    Event date: 2007.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:北海道旭川市   Country:Japan  

  147. 陰的wavelet近似逆行列前処理のfinger patternおよびそのブロック化技法

    今倉暁,曽我部知広,張紹良

    環瀬戸内応用数理研究部会第11回シンポジウム  岡山理科大学

     More details

    Event date: 2007.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:岡山   Country:Japan  

  148. 可変的前処理付き一般化共役残差法の内部解法としてのAOR法

    前田祥兵,阿部邦美,曽我部知広,張紹良

    環瀬戸内応用数理研究部会第11回シンポジウム  岡山理科大学

     More details

    Event date: 2007.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:岡山   Country:Japan  

  149. 陰的wavelet近似逆行列前処理のFinger Patternに対するブロック化技法について

    今倉 暁, 曽我部 知広, 張 紹良

    第36回数値解析シンポジウム 

     More details

    Event date: 2007.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:湯川原   Country:Japan  

  150. 非エルミート行列を解くための準最小残差アプローチとその応用

    南さつき,曽我部知広,杉原正顯,張紹良

    日本応用数理学会平成19年研究部会連合発表会  日本応用数理学会

     More details

    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:名古屋大学   Country:Japan  

  151. GPBi-CG法とBi-CGSTAB法を用いたハイブリッド型解法について

    長井康幸,曽我部知広,張紹良

    研究集会 「超大規模行列の数理的諸問題とその高速解法」 

     More details

    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  152. Finger patternのブロック化による陰的wavelet近似逆行列前処理の高速化

    今倉暁,曽我部知広,張紹良

    研究集会 「超大規模行列の数理的諸問題とその高速解法」 

     More details

    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  153. Bi-CR法の積型解法の準最小残差アプローチの適用

    南さつき,曽我部知広,杉原正顯,張紹良

    研究集会 「超大規模行列の数理的諸問題とその高速解法」 

     More details

    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  154. AOR法を用いた可変的前処理付き一般化共役残差法

    前田祥兵,阿部邦美,曽我部知広,張紹良

    研究集会 「超大規模行列の数理的諸問題とその高速解法」 

     More details

    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  155. シフト複素対称線形方程式のための重み付きQMR法について

    曽我部知広,張紹良

    研究集会 「超大規模行列の数理的諸問題とその高速解法」 

     More details

    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  156. Finger pattern のブロック化による陰的 wavelet 近似逆行列前処理の高速化

    今倉暁,曽我部知広,張紹良

    日本応用数理学会平成19年研究部会連合発表会  日本応用数理学会

     More details

    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:名古屋大学   Country:Japan  

  157. AOR 法を用いた可変的前処理付き一般化共役残差法

    前田祥兵,阿部邦美,曽我部知広,張紹良

    日本応用数理学会平成19年研究部会連合発表会  日本応用数理学会

     More details

    Event date: 2007.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:名古屋大学   Country:Japan  

  158. 非対称行列用共役残差法に基づく積型反復解法

    阿部邦美,曽我部知広,藤野清次,張紹良

    ハイパフォーマンスコンピューティングと計算科学シンポジウム(HPCS2007) 

     More details

    Event date: 2007.1

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:つくば市   Country:Japan  

  159. 大規模疎行列の非線形固有値問題の数値解法

    大井幸平,水野吉規,曽我部知広,山本有作,張紹良

    ハイパフォーマンスコンピューティングと計算科学シンポジウム(HPCS2007) 

     More details

    Event date: 2007.1

    Language:Japanese   Presentation type:Poster presentation  

    Venue:つくば市   Country:Japan  

  160. 可変的前処理付き一般化共役残差法の内部解法の比較

    前田祥兵,阿部邦美,曽我部知広,張紹良

    ハイパフォーマンスコンピューティングと計算科学シンポジウム(HPCS2007) 

     More details

    Event date: 2007.1

    Language:Japanese   Presentation type:Poster presentation  

    Venue:つくば市   Country:Japan  

  161. Block finger-pattern を用いた陰的wavelet近似逆行列前処理

    今倉暁,曽我部知広,張 紹良

    ハイパフォーマンスコンピューティングと計算科学シンポジウム(HPCS2007) 

     More details

    Event date: 2007.1

    Language:Japanese   Presentation type:Poster presentation  

    Venue:つくば市   Country:Japan  

  162. Bi-conjugate residual method for nonsymmetric linear systems International conference

    T. Sogabe, M. Sugihara, S.-L. Zhang

    The First International Conference on Numerical Algebra and Scientific Computing (NASC06) 

     More details

    Event date: 2006.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Beijing   Country:China  

  163. シフト複素対称線形方程式に対するクリロフ部分空間法 -Shifted COCG法を中心に-

    曽我部知広, 星健夫, 張紹良, 藤原毅夫

    第2回 日本応用数理学会「行列・固有値問題の解法とその応用」研究部会  日本応用数理学会

     More details

    Event date: 2006.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:国立情報学研究所   Country:Japan  

  164. ナノ構造量子力学計算におけるQMR法の適用について

    曽我部知広, 星健夫, 張紹良, 藤原毅夫

    日本応用数理学会平成18年度年会  日本応用数理学会

     More details

    Event date: 2006.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:筑波大学   Country:Japan  

  165. CRS: a fast algorithm based on Bi-CR for solving nonsymmetric linear systems International conference

    T. Sogabe, S.-L. Zhang

    The First China-Japan-Korea Joint Conference on Numerical Mathematics 

     More details

    Event date: 2006.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Sapporo   Country:Japan  

  166. QMRアプローチのBiCR法への適用について

    南さつき, 曽我部知広, 杉原正顯, 張紹良

    第35回数値解析シンポジウム 

     More details

    Event date: 2006.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:吹田市   Country:Japan  

  167. Bi-CR法の積型解法に基づく自乗共役残差(CRS)法

    曽我部知広, 張紹良

    第35回数値解析シンポジウム 

     More details

    Event date: 2006.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:吹田市   Country:Japan  

  168. QMRアプローチのBiCR法への適用について

    南さつき, 曽我部知広, 杉原正顯, 張紹良

    日本応用数理学会平成18年研究部会連合発表会  日本応用数理学会

     More details

    Event date: 2006.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:早稲田大学   Country:Japan  

  169. A numerical method for calculating the Green's function arising from electronic structure theory International conference

    T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara

    International Symposium on Frontiers of Computational Science (FCS2005) 

     More details

    Event date: 2005.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagoya   Country:Japan  

  170. A numerical method for calculatingthe Green's function arising from electronic structure theory International conference

    InternationalSymposium on Frontiers of Computational Science 2005 

     More details

    Event date: 2005.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  171. A class of variable preconditioners for minimalresidual Krylov-subspace methods International conference

    the International Conference on NumericalLinear Algebra and Optimization(Invited talk) 

     More details

    Event date: 2005.8

    Language:English   Presentation type:Oral presentation (invited, special)  

  172. シフト線形方程式を解くためのシードの切り替えについて

    曽我部知広, 星健夫, 張紹良, 藤原毅夫

    第34回数値解析シンポジウム 

     More details

    Event date: 2005.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:浜松   Country:Japan  

  173. 共役残差法の非対称行列用への拡張

    曽我部知広, 杉原正顯, 張紹良

    日本応用数理学会平成17年研究部会連合発表会  日本応用数理学会

     More details

    Event date: 2005.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  174. COCR methods for solving complex symmetric linear systems International conference

    T. Sogabe, S.-L. Zhang

    11th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN2004) 

     More details

    Event date: 2004.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Fukuoka   Country:Japan  

  175. Product-type Krylov-subspace Solvers for Nonsymmetric Linear Systems International conference

    the 11th Chinese National Symposium on Shock Waves(Plenary talk) 

     More details

    Event date: 2004.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  176. Product-type Krylov-subspace Solvers for Nonsymmetric Linear Systems Invited

    S.-L. Zhang, K. Abe

    the 10th Chinese National Symposium on Shock Wave  The Chinese Society of Theoretical and Applied Mechanics

     More details

    Event date: 2004.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Mianyang   Country:China  

  177. 大規模電子構造計算のための線形数値計算アルゴリズム

    高山立, 星健夫, 曽我部知広, 張紹良, 藤原毅夫

    日本物理学会2004年秋季大会  日本物理学会

     More details

    Event date: 2004.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:青森大学   Country:Japan  

  178. 1反復当たりの計算量の削減による安定化CGS法の改良

    藤原牧, 藤野清次, 曽我部知広, 張紹良

    日本応用数理学会平成16年度年会  日本応用数理学会

     More details

    Event date: 2004.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:中央大学   Country:Japan  

  179. シフト複素対称線形方程式のためのCOCR法

    曽我部知広, 張紹良

    日本応用数理学会平成16年度年会  日本応用数理学会

     More details

    Event date: 2004.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:中央大学   Country:Japan  

  180. An extension of the conjugate residual method to nonsymmetric linear systems Invited International conference

    S.-L. Zhang, T. Sogabe

    The 7th China-Japan Joint Seminar for Computational Mathematics and Scientific Computing 

     More details

    Event date: 2004.8 - 2004.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Zhang Jia Jie   Country:China  

  181. Bi-Conjugate residual method for large nonsymmetriclinear systems International conference

    S.-L. Zhang and T. Sogabe

    the Seventh China-Japan Joint Seminar on Numerical Mathematics(Invited talk) 

     More details

    Event date: 2004.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  182. 大規模連立1次方程式におけるクリロフ部分空間法の数理

    張紹良

    第3回筑波大学スーパーコンピュータワークショップ 

     More details

    Event date: 2004.6

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  183. 複素対称線形方程式のためのCOCR法

    曽我部知広, 張紹良

    第33回数値解析シンポジウム 

     More details

    Event date: 2004.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:熱海   Country:Japan  

  184. 非対称連立一次方程式のためのBi-CR法

    曽我部知広, 張紹良

    研究集会 「科学技術計算の数理的諸問題と高速解法」 

     More details

    Event date: 2004.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  185. 複素対称線形方程式を効率良く解くためのCOCR法

    曽我部知広, 張紹良

    研究集会 「数値解析」  岡山理科大学

     More details

    Event date: 2004.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:岡山   Country:Japan  

  186. Bi-CR法の積型解法について

    曽我部知広, 張紹良

    数理研・研究集会 「数値解析と新しい情報技術」  RIMS

     More details

    Event date: 2003.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  187. The Bi-CR method for nonsymmetric linear systems Invited International conference

    S.-L. Zhang, T. Sogabe

    International Conference on Numerical Linear Algebra and Optimization (ICNLAO2003) 

     More details

    Event date: 2003.10

    Language:English   Presentation type:Oral presentation (keynote)  

    Venue:Guilin   Country:China  

  188. Bi-CR method for solving large nonsymmetric linearsystems International conference

    S.-L. Zhang and T. Sogabe

    the 2003 International Conference on Numerical Linear Algebra and Op-timization(Plenary talk) 

     More details

    Event date: 2003.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  189. 非対称線形方程式のためのBi-CR法

    曽我部知広, 鄭波, 橋本康, 張紹良

    日本応用数理学会平成15年度年会  日本応用数理学会

     More details

    Event date: 2003.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  190. On the improvement of the CGS method International conference

    T. Sogabe, C.-H. Jin, K. Abe, S.-L. Zhang

    The 5th International Congress on Industrial and Applied Mathematics (ICIAM2003) 

     More details

    Event date: 2003.7 - 2007.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Sydney   Country:Australia  

  191. A variable preconditionin strategy for minimal residual Krylov-subspace methods International conference

    S.-L. Zhang, K. Abe

    5th international congress on industrial and applied mathematics(ICIAM 2003)  2003.7.7  ICIAM

     More details

    Event date: 2003.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Sydney   Country:Australia  

  192. Necessary and sufficient conditions for convergence of GCR(k) and GMRES methods on singular systems International conference

    K. Abe, S.-L. Zhang, M. Sugihara

    5th international congress on industrial and applied mathematics(ICIAM 2003)  2003.7.10  ICIAM

     More details

    Event date: 2003.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Sydney   Country:Australia  

  193. On the improvement of the CGS method International conference

    T. Sogabe, C.-H. Jin, K. Abe, S.-L. Zhang

    5th international congress on industrial and applied mathematics(ICIAM 2003)  2003.7.9  ICIAM

     More details

    Event date: 2003.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Sydney   Country:Australia  

  194. 非対称Toeplitz行列に対するCG法の適用

    曽我部知広, 鄭波, 橋本康, 張紹良

    第32回数値解析シンポジウム 

     More details

    Event date: 2003.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:箱根   Country:Japan  

  195. A stabilized conjugate gradient squared method for solving large non-Hermitian linear systems

    T. Sogabe, S.-L. Zhang

    LA Seminar 

     More details

    Event date: 2003.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  196. 複素対称行列のためのクリロフ部分空間法について

    曽我部知広, 張紹良

    科研費研究会 「ヘルムホルツ方程式の数値解法とその応用」 

     More details

    Event date: 2003.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:電通大   Country:Japan  

  197. COCG法の積型解法について

    曽我部知広, 藤野清次, 張紹良

    数理研・研究集会 「微分方程式の数値解法と線形計算」  RIMS

     More details

    Event date: 2002.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  198. COCG法の積型解法について

    曽我部知広, 藤野清次, 張紹良

    日本応用数理学会平成14年度年会  日本応用数理学会

     More details

    Event date: 2002.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:慶應大学   Country:Japan  

  199. CGS法の改良について

    曽我部知広, 張紹良

    第31回数値解析シンポジウム 

     More details

    Event date: 2002.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:南伊豆   Country:Japan  

  200. A strategy of fast preconditioning for Krylovsubspace methods International conference

    SSS2001(Workshop on Scalable Solver Software 2001, MultiscaleCoupling and Computational Earth Science)(Invited talk) 

     More details

    Event date: 2001.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  201. On a class of product-type iterative solvers for nonsymmetric linearsystems International conference

    SSS2001(Workshop on Scalable Solver Software 2001, Multiscale Couplingand Computational Earth Science)(Invited talk) 

     More details

    Event date: 2001.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  202. On a class of product-type Krylov-subspace methods for solving nonsymmetriclinear systems International conference

    "Scientic and Engi-neering Computation for the 21st Century|Methodologies and Applications|(Invited talk) 

     More details

    Event date: 2001.10

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  203. サイコロ式積型Krylov部分空間法

    曽我部知広, 中田和秀, 張紹良

    日本応用数理学会平成13年度年会  日本応用数理学会

     More details

    Event date: 2001.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:九州大学   Country:Japan  

  204. Preconditioned conjugate residual method for solving large and denselinear systems in semidefinite programming International conference

    S.-L. Zhang

    the 2001 International Conference onNumerical Optimization and Numerical Linear Algebra(Invited talk) 

     More details

    Event date: 2001.5

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  205. 超大規模線形方程式のクリロフ部分空間法-実際問題に役立つのか?

    張紹良

    第50 回理論応用力学講演会(NCTAM 2001)(基調講演) 

     More details

    Event date: 2001.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  206. A regularized conjugate gradient method for symmetricpositive definite system of linear equations International conference

    the Fifth China-Japan Joint Seminaron Numerical Mathematics(Invited talk) 

     More details

    Event date: 2000.8

    Language:English   Presentation type:Oral presentation (invited, special)  

  207. Observations of the influence of rounding errors in the variants of the Bi-CG method International conference

    K. Abe, S.-L. Zhang, S. Fujino

    RIKEN Symposium on Linear Algebra and its Applications (1999  1999.11.23  Institute of Physical and Chemical Research

     More details

    Event date: 1999.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Wako   Country:Japan  

  208. A Variant of CGS for the Solutions of Nonsymmetric Linear Systems International conference

    C.-H. Jin, S.-L. Zhang, H. Imai

    RIKEN Symposium on Linear Algebra and its Applications (1999)  1999.11.23  Institute of Physical and Chemical Research

     More details

    Event date: 1999.11

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Wako   Country:Japan  

  209. Product-type Krylov-subspace Solutions of NonHermitian Linear Systems International conference

    S. L. Zhang

    RIKEN Symposium on Linear Algebra and its Applications (1999)  1999.11.23  Institute of Physical and Chemical Research

     More details

    Event date: 1999.11

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Wako   Country:Japan  

  210. Krylov subspace methods for solving symmetric indefinite systems of linear equations International conference

    S.-L. Zhang

    The fourth international congress on industrial and applied mathematics(ICIAM 99)  1999.7.7  ICIAM

     More details

    Event date: 1999.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Edinburgh, Scotland   Country:United Kingdom  

  211. On a class of product-type iterative solutions of nonsymmetric linearsystems International conference

    the 1999 International Conference on Scientic and Engineering Comput-ing for Young Chinese Scientists(Invited talk) 

     More details

    Event date: 1999.7

    Language:English   Presentation type:Oral presentation (invited, special)  

  212. Incomplete orthogonalization preconditionerfor solving large and dense linear systems in semidefinite programming International conference

    S.-L. Zhang, M. Kojima, K. Nakata

    Workshopon Scientific Computing 99(Invited talk) 

     More details

    Event date: 1999.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:China  

  213. 線形方程式の反復法の数理

    張紹良

    平成10 年度年会(特別講演) 

     More details

    Event date: 1998.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  214. Generalized product-yype Krylov-subspace methods for solving nonsymmetric linear systems International conference

    S.-L. Zhang

    The third international congress on industrial and applied mathematics(ICIAM 95)  1995.7.3  ICIAM

     More details

    Event date: 1995.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Hamburg   Country:Germany  

  215. Transpose-free product-type Krylov-subspace methods for solving nonsymmetric linear systems with complex spectrum International conference

    S.-L. Zhang

    2nd IMACS International Symposium on Iterative Methods in Linear Algebra  Bulgarian Acaademy of Sciences

     More details

    Event date: 1995.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Blagoevgrad   Country:Bulgaria  

  216. 非対称行列の積型反復解法をめぐって

    張紹良

    研究集会「数値計算アルゴリズムの現状と展望」(招待講演) 

     More details

    Event date: 1993.10

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  217. 大規模な最小二乗問題とスーパーコンピューティング Invited

    張紹良

    第5回日本計算機統計学会シンポジウム(日本統計学会60周年記念協賛セッション)  1991.11.12  日本計算機統計学会

     More details

    Event date: 1991.11

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:統計数理研究所   Country:Japan  

  218. Visualization of convergence behavior of Bi-CGSTAB method International conference

    S. Fujino, S.-L. Zhang, M. Mori

    International Symposium on Supercomputing  1991.11.8  Kyushu University

     More details

    Event date: 1991.11

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Fukuoka   Country:Japan  

▼display all

Research Project for Joint Research, Competitive Funding, etc. 1

  1. ポストペタスケールに対応した階層モデルによる超並列固有値解析エンジンの開発

    2011.4 - 2016.3

KAKENHI (Grants-in-Aid for Scientific Research) 14

  1. 低精度計算を活用した混合精度型線形計算技術の深化

    Grant number:25K03124  2025.4 - 2028.3

    科学研究費助成事業  基盤研究(B)

    深谷 猛, 張 紹良, 山本 有作, 岩下 武史, 佐竹 祐樹

      More details

    Authorship:Coinvestigator(s) 

    本研究では、物理シミュレーションをはじめとする科学技術計算において道具として利用される線形計算(行列計算)に対して、計算結果の精度を維持しつつ、近年のGPU等の計算機ハードウェアの持つ高い低精度演算能力を活用することを可能とする混合精度型アルゴリズムの研究開発に取り組む。特に、既存のアルゴリズムの背景にある数理的原理に立ち戻り、混合精度計算により適した新しいアルゴリズムの開発を目指すとともに、混合精度型の線形計算技術の数理基盤の構築を試みる。

  2. 大規模線形方程式の数値解法(GPIDR(s)法)の開発

    Grant number:19K12002  2019.4 - 2025.3

    科学研究費助成事業  基盤研究(C)

    張 紹良

      More details

    Authorship:Principal investigator 

    Grant amount:\4290000 ( Direct Cost: \3300000 、 Indirect Cost:\990000 )

    計算科学・データ科学に現れる超大規模線形方程式Ax=bに対して次世代数値計算アルゴリズムを開発する。研究手法として、申請者が開発したGPBi-CG法の理論(一般化積型クリロフ部分空間法)、および同じく申請者の研究グループが開発したBlock IDR(s)法の理論を融合した解法である「一般化積型IDR法:GPIDR(s)法)」(一般化ゾンネベルト部分空間法)を開発することで、2020年以降の超大規模線形方程式への対応を可能とさせる。
    計算科学・データ科学に現れる超大規模線形方程式 Ax =b に対する次世代数値計算アルゴリズムを開発する.研究手法として,申請者が開発したGPBi-CG法[1]の理論(一般化積型クリロフ部分空間法),および同じく申請者らが開発したBlock IDR(s)法[2]の理論(ゾンネベルト部分空間法)を融合した解法である「一般化積型IDR法:GPIDR(s)法」(一般化ゾンネベルト部分空間法)を開発することで, 2020年以降の超大規模線形方程式への対応を可能とさせる.
    [1] S.-L.Zhang:SIAMJ.Sci. Comput., 18(1997), pp.537-551, [2] L. Du, S.-L.Zhang et al., J. Comput. Appl. Math., 235(2011), pp.4095-4106.
    本研究における学術的問いは 「線形方程式に対する従来法の性能を超える数値解法は開発できるか?」 であり,具体的な問いは以下の3点である.
    1. IDR(s)法 の理論(ゾンネベルト部分空間)とGPBi-CG法の理論(一般化積型クリロフ 部分空間)の統一理論を構築できるか?
    2. 統一理論からIDR(s)法の高速性とGPBi-CG法の 頑強性を備えたアルゴリズム (GPIDR(s)法:一般化積型ゾンネベルト部分空間法)を構成できるか?
    3. 近年の科学技術計算で要求される大規模線形方程式での GPIDR(s)法の有用性を検証できるか?
    超大規模線形方程式の数値解法の開発と実問題への応用を目的とする.国産の数値解法であるGPBi-CG法の理論的根幹である積型クリロフ部分空間理論と,最先端の数理アルゴリズムであるBlock IDR(s)法の理論的根幹であるIDR定理(帰納的次元縮小定理)を統一する着眼点が独創的であり,統一された理論から従来法を凌ぐ高速・高精度・高安定解法を開発することが創造的である.
    具体的には,IDR定理は行列1次多項式の積で構成されるという着眼点により,その多項式を積型クリロフ部分空間理論で用いられるLanczos多項式(数値計算の丸め誤差に対して頑強)を用いることにより「一般化積型IDR定理」を構築する.
    このことによりLanczos多項式内の係数の選び方により,従来のIDR定理が得られるという意味で一般化されている.さらにこの一般化積型IDR定理(高い視点)により,次世代の数値解法になり得る一般化積型IDR法 (GPIDR(s)法)を開発する.
    <BR>
    まず,2020年度から一般化積型IDR定理の構築を改善し,有限回の反復で線形部分空間の次元がゼロになることを証明する.これは導出される解法に対する収束性(有限回反復で解に収束するため)の理論保証となる.
    次に一般化積型IDR定理に基づく解法を導出するが,生成される解法には多様性があるため,数値的に丸め誤差の影響を最も受けにくい解法を数値実験結果(フィードバック)に基づき明らかにする.さらに,行列関数の計算や行列方程式の求解への応用を検討する.
    今後の研究計画の実現については,IDR定理の拡張(一般化積型IDR定理)が研究の根幹であり,論文[3]にあるように十分把握している.さらに一般化積型IDR定理を構築するために必要なLanczos多項式についてはGPBi-CG法[2]の研究から明らかであるため,一般化積型 IDR定理の実現性は高いと考えている.
    さらに,一般化積型IDR定理から導出される,(GPBi-CG法とIDR(s)法の融合として位置づけられる)GPIDR(s)法の導出に当たっては,積型クリロフ部分空間法の枠組みの中でGPBi-CG法を導出した経験[1],そしてIDR定理からBlock IDR(s)法を導出した経験[3]により研究期間があれば問題なく実施できると考えている.
    なお,近年ではシフト線形方程式という計算物理学や最適化問題に現れる専用の解法をIDR定理に基づき開発しており[3],解法開発の職人的研究センスは向上している状況である.
    [1] S.-L. Zhang: SIAM J. Sci. Comput., 18(1997), pp.537-551.【査読有】, [2] L. Du, S.-L. Zhang et al., J. Comput. Appl. Math.,235(2011),pp.4095-4106. 【査読有】, [3] L. Du, S.-L. Zhang et al., J. Comput. Appl. Math., 274(2015), pp.35-43. 【査読有】 ※L.Du 氏(現:大連理工大学・副教授)は,申請者(張:Zhang)の博士課程指導学生であった.

  3. Mathematical analysis of rounding errors which arise from new solvers for solving linear equations and its future developments

    Grant number:26390136  2014.4 - 2018.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (C)

    Abe Kuniyoshi, ZHANG Shao-Liang, IKUNO Soichiro, Gerard Sleijpen

      More details

    Authorship:Collaborating Investigator(s) (not designated on Grant-in-Aid) 

    We have proposed strategies for improving the convergence speed and the accuracy of approximate solutions for the Induced Dimension Reduction(IDR)(s) method. We have derived the preconditioned IDR(s) algorithms and then examined the convergence speed and the accuracy of approximate solutions among some implementations of IDR(s). Moreover we have redesigned the conventional Krylov subspace methods for improving the convergence speed and the accuracy of approximate solutions by using the results obtained in this research. We have given strategies to parallelize preconditioning on parallel computers and then evaluated the parallel performance. We have applied our proposed the strategies to parallelize preconditioning to the application problem which arises from electromagnetics field, and then shown the effectiveness.

  4. 計算物質科学の基盤となる超大規模系のための高速解法

    2010.4 - 2015.3

    科学研究費補助金  新学術領域研究

    張紹良

      More details

    Authorship:Principal investigator 

  5. 計算科学の基盤となる超大規模線形方程式の高速解法の総合的研究と計算サーバの開発

    2007.4 - 2010.3

    科学研究費補助金  基盤研究(C)(一般),課題番号:19560065

    張 紹良

      More details

    Authorship:Principal investigator 

  6. 科学技術計算に現れる超大規模線形方程式の数理的諸問題と高速解法の総合的開発

    2003.4 - 2007.3

    科学研究費補助金  基盤研究(B),課題番号:15360042

    張 紹良

      More details

    Authorship:Principal investigator 

  7. 無限領域における波動伝播現象の数値解法の研究とその応用

    2002.4 - 2005.3

    科学研究費補助金  基盤C

      More details

    Authorship:Coinvestigator(s) 

  8. 反復計算過程を有する非線型発展方程式の数値シミュレーションの精度向上

    2002.4 - 2005.3

    科学研究費補助金  基盤C

      More details

    Authorship:Coinvestigator(s) 

  9. 領域分割法による数値シミュレーション手法の開発とその数学的検証

    2001.4 - 2004.3

    科学研究費補助金  基盤研究(B2)

      More details

    Authorship:Coinvestigator(s) 

  10. 計算科学における大規模マトリックスの数理的諸問題と高速解法の開発

    2000.3 - 2002.4

    科学研究費補助金  奨励A,課題番号

    張 紹良

      More details

    Authorship:Principal investigator 

  11. 偏微分方程式に対する非標準的な有限要素近似解法の研究

    1999.4 - 2002.3

    科学研究費補助金  基盤研究(B1)

      More details

    Authorship:Coinvestigator(s) 

  12. 領域分割法による計算力学の新解法の開発とその数学的検証

    1998.4 - 2001.3

    科学研究費補助金  基盤B

      More details

    Authorship:Coinvestigator(s) 

  13. 大規模連立1次方程式における高速な反復解法の開発・応用

    1997.4 - 1999.3

    科学研究費補助金  奨励A,課題番号

    張 紹良

      More details

    Authorship:Principal investigator 

  14. 大規模連立1次方程式における積型反復解法の開発・応用

    1994.4 - 1995.3

    科学研究費補助金  奨励A,課題番号

    張 紹良

      More details

    Authorship:Principal investigator 

▼display all

 

Teaching Experience (On-campus) 35

  1. 微分積分学Ⅱ

    2017

  2. 数学2及び演習

    2017

  3. 計算数理工学特論

    2017

  4. 数学2及び演習

    2016

  5. 微分積分学Ⅱ

    2016

  6. 数学2及び演習

    2015

  7. 微分積分学Ⅱ

    2015

  8. 計算数理工学特論

    2015

  9. 数学2及び演習

    2014

  10. 微分積分学Ⅱ

    2014

  11. 基礎セミナー

    2014

  12. 物理工学科概論

    2014

  13. 計算数理工学特論

    2013

  14. 微分積分学Ⅱ

    2013

  15. 応物セミナー

    2013

  16. 数学2及び演習

    2013

  17. 応物セミナー

    2012

  18. 数学2及び演習

    2012

  19. 微分積分学Ⅱ

    2012

  20. 物理工学概論

    2012

  21. Calculus II

    2011

  22. 計算理工学基礎

    2011

  23. 数学2及び演習

    2011

  24. 物理工学概論

    2011

  25. 計算数理工学特論

    2011

  26. 数学2及び演習

    2010

  27. 微分積分学Ⅱ

    2010

  28. 線形代数学Ⅱ

    2009

  29. 微分積分学Ⅱ

    2009

  30. 応用物理学実験第3

    2009

  31. 数学2及び演習

    2009

  32. 物理工学科概論

    2009

  33. 計算数理工学特論

    2009

  34. 計算アルゴリズム

    2009

  35. 計算理工学基礎

    2006

▼display all

Teaching Experience (Off-campus) 1

  1. 豊西総合大学講座【出前講義:科学技術計算上の方程式を高速に解く】

    2020.11