Updated on 2025/08/03

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 / Others  / 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

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    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

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    Country:Japan

  7. The University of Tokyo   Professor

    2005.6 - 2007.3

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    Country:Japan

  8. The University of Tokyo   Associate Professor

    1998.7 - 2005.5

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    Country:Japan

  9. University of Tsukuba   Lecturer

    1995.11 - 1998.6

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    Country:Japan

  10. Nagoya University   Assistant

    1993.4 - 1995.10

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    Country:Japan

  11. 計算流体力学研究所   研究員

    1990.4

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    Country:Japan

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Education 3

  1. University of Tsukuba   Graduate School, Division of Engineering

    1987.4 - 1990.3

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    Country: Japan

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

    1985.4 - 1987.3

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    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

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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  

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    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  

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    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  

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    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  

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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

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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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

  22. On computing the k-th singular triplet Reviewed

    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

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  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

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    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

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    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

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    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

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    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

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    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

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  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

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    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

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  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

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

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

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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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

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

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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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

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

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

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

  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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

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

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

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

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

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

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  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

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

    T. Sogabe, S.-L. Zhang

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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  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

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  106. Visualization of convergence behaviour of Bi-CGSTAB method Reviewed

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

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

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  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

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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

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    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

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    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 

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    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 

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    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 

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    Language:Japanese Book type:Scholarly book

MISC 15

  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

    RIMS講究録   Vol. 2167   2020

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    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

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    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

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  4. 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

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  5. 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

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

  6. 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

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  7. 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

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  8. 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

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  9. 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

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  10. 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

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  11. 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   Vol. 112   page: 15 - 18   2006

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  12. 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

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  13. 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

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  14. Extended conjugate residual methods for solving nonsymmetric linear systems Invited Reviewed

    T. Sogabe, S.-L. Zhang

    Numerical Linear Algebra and Optimization, ed. Y. Yuan, Science Press, Beijing/NewYork     page: 88 - 99   2004

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

  15. 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

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Presentations 155

  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

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    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

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    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

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    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

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    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 

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    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 

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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

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    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 

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    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

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    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

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    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

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    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

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    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

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    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

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    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 

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    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

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    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

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    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

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    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

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    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

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    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. 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

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    Event date: 2019.6

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

    Venue:Panjin   Country:China  

  30. 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

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    Event date: 2019.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Wuhan   Country:China  

  31. 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

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    Event date: 2019.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:福井  

  32. 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

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    Event date: 2019.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:つくば  

  33. 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 

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    Event date: 2018.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Rhodes   Country:Greece  

  34. 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

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    Event date: 2018.8

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

    Venue:Changchun   Country:China  

  35. 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 

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    Event date: 2018.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Kalamata   Country:Greece  

  36. 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

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    Event date: 2018.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  37. 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 

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    Event date: 2018.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:福井県あわら市   Country:Japan  

  38. 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

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    Event date: 2018.3

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  39. A fast and stable variant of incremental Newton iteration for the matrix p 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

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    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul   Country:Korea, Republic of  

  40. 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

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    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul   Country:Korea, Republic of  

  41. 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

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    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul   Country:Korea, Republic of  

  42. 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

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    Event date: 2017.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Seoul   Country:Korea, Republic of  

  43. 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 

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    Event date: 2017.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Rome   Country:Italy  

  44. 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

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    Event date: 2017.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:調布  

  45. 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

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    Event date: 2016.8

    Language:English   Presentation type:Oral presentation (keynote)  

    Venue:Dalian   Country:China  

  46. 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

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    Event date: 2016.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Macau   Country:China  

  47. 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

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    Event date: 2016.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:霧島  

  48. 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

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    Event date: 2015.7

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

    Venue:San Diego   Country:United States  

  49. 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 

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    Event date: 2014.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  50. 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 

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    Event date: 2014.3

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  51. 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 

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    Event date: 2014.3

    Language:Japanese   Presentation type:Poster presentation  

    Country:Japan  

  52. 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 

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    Event date: 2014.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  53. 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 

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    Event date: 2014.3

    Language:English   Presentation type:Poster presentation  

    Country:Japan  

  54. 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

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    Event date: 2014.3

    Language:English   Presentation type:Poster presentation  

    Venue:TSUKUBA   Country:Japan  

  55. 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)  

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    Event date: 2013.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Turkey  

  56. 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

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    Event date: 2013.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Konya   Country:Turkey  

  57. 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 

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    Event date: 2013.7

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  58. 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 

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    Event date: 2013.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Indonesia  

  59. 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 

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    Event date: 2013.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  60. 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 

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    Event date: 2012.12

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

    Country:Macao  

  61. 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

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    Event date: 2012.10

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

    Venue:Osaka   Country:Japan  

  62. 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

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    Event date: 2012.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Osaka   Country:Japan  

  63. 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

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    Event date: 2012.10

    Language:English   Presentation type:Poster presentation  

    Venue:Osaka   Country:Japan  

  64. 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」 

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    Event date: 2012.10

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

  65. 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 

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    Event date: 2012.8

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

    Venue:Otsu   Country:Japan  

  66. 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

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    Event date: 2012.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Valencia   Country:Spain  

  67. 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 

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    Event date: 2012.4

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

    Country:Netherlands  

  68. 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

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    Event date: 2012.3

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

    Venue:Tokyo   Country:Japan  

  69. 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

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    Event date: 2012.3

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

    Venue:Kobe   Country:Japan  

  70. 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 

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    Event date: 2011.12

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

    Country:Macao  

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

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

    School of Mathematical Sciences 

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    Event date: 2011.12

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

    Country:China  

  72. 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 

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    Event date: 2011.11

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

    Country:China  

  73. 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 

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    Event date: 2011.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Country:Japan  

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

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

    Department of Mathematics 

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    Event date: 2011.9

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

    Country:Taiwan, Province of China  

  75. 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 

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    Event date: 2011.9

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

    Country:Taiwan, Province of China  

  76. 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 

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    Event date: 2011.9

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

    Country:Taiwan, Province of China  

  77. 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 

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    Event date: 2011.9

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

    Country:Taiwan, Province of China  

  78. 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 

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    Event date: 2011.9

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

    Country:Japan  

  79. 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

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    Event date: 2011.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Waseda University Kitakyushu Campus   Country:Japan  

  80. 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

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    Event date: 2011.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Waseda University Kitakyushu Campus   Country:Japan  

  81. 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

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    Event date: 2010.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:NII   Country:Japan  

  82. 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

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    Event date: 2010.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Birmingham   Country:United Kingdom  

  83. 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

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    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:明治大学   Country:Japan  

  84. 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

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    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:明治大学   Country:Japan  

  85. 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

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    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:明治大学   Country:Japan  

  86. 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

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    Event date: 2010.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:明治大学   Country:Japan  

  87. 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 

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    Event date: 2010.6

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

    Venue:Dalian   Country:China  

  88. 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

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    Event date: 2010.5

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

    Venue:Novi Sad   Country:Serbia  

  89. 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 

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    Event date: 2010.5

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

    Country:Japan  

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

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

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    Event date: 2010.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  91. 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 

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    Event date: 2010.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:鳥羽   Country:Japan  

  92. 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

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    Event date: 2010.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:筑波大学   Country:Japan  

  93. 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

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    Event date: 2009.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  94. 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

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    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  95. 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

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    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  96. 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

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    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  97. 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

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    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  98. 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

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    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  99. 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

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    Event date: 2009.12

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  100. 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

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    Event date: 2009.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tokyo   Country:Japan  

  101. 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 

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    Event date: 2009.11

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

    Venue:Nagoya   Country:Japan  

  102. 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

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    Event date: 2009.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:NII   Country:Japan  

  103. 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 

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    Event date: 2009.9

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Berlin   Country:Germany  

  104. 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

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    Event date: 2009.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:大阪大学   Country:Japan  

  105. 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 

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    Event date: 2009.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Lijiang   Country:China  

  106. 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 

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    Event date: 2009.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Lijiang   Country:China  

  107. 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 

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    Event date: 2009.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Lijiang   Country:China  

  108. 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

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    Event date: 2009.6

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Darussalam   Country:Brunei Darussalam  

  109. 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 

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    Event date: 2009.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:熱川ハイツ, 静岡   Country:Japan  

  110. 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 

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    Event date: 2009.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:熱川ハイツ, 静岡   Country:Japan  

  111. 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 

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    Event date: 2009.6

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:熱川ハイツ, 静岡   Country:Japan  

  112. 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) 

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    Event date: 2009.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Agadir   Country:Morocco  

  113. 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) 

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    Event date: 2009.5

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Agadir   Country:Morocco  

  114. 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

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    Event date: 2009.5

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  115. 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

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    Event date: 2009.2

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  116. 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 

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    Event date: 2008.10

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

    Country:Korea, Republic of  

  117. 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

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    Event date: 2008.10

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

    Venue:Daejeon   Country:Korea, Republic of  

  118. 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

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    Event date: 2008.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  119. 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

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    Event date: 2008.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:東京大学   Country:Japan  

  120. 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 

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    Event date: 2008.5 - 2008.6

    Language:English   Presentation type:Poster presentation  

    Venue:Tokyo   Country:Japan  

  121. 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) 

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    Event date: 2008.5

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

    Venue:Okinawa   Country:Japan  

  122. 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

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    Event date: 2008.4

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Novi Sad   Country:Serbia  

  123. 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 

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    Event date: 2008.3

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

    Country:United States  

  124. 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

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    Event date: 2008.3

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

    Venue:Harvard University   Country:United States  

  125. 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 

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    Event date: 2007.12

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

    Country:Japan  

  126. 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 

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    Event date: 2007.12

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

    Venue:Tokyo   Country:Japan  

  127. 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 

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    Event date: 2007.9

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

    Country:China  

  128. 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 

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    Event date: 2007.9

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

    Venue:Urumqi, XinJiang   Country:China  

  129. 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- 

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    Event date: 2007.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Harrachov   Country:Czech Republic  

  130. 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) 

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    Event date: 2007.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Zurich   Country:Switzerland  

  131. 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) 

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    Event date: 2007.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Toulouse   Country:France  

  132. 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) 

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    Event date: 2006.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Beijing   Country:China  

  133. 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 

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    Event date: 2006.8

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Sapporo   Country:Japan  

  134. 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) 

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    Event date: 2005.12

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Nagoya   Country:Japan  

  135. A numerical method for calculatingthe Green's function arising from electronic structure theory International conference

    InternationalSymposium on Frontiers of Computational Science 2005 

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    Event date: 2005.12

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

    Country:Japan  

  136. A class of variable preconditioners for minimalresidual Krylov-subspace methods International conference

    the International Conference on NumericalLinear Algebra and Optimization(Invited talk) 

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    Event date: 2005.8

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

  137. 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) 

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    Event date: 2004.10

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Fukuoka   Country:Japan  

  138. Product-type Krylov-subspace Solvers for Nonsymmetric Linear Systems International conference

    the 11th Chinese National Symposium on Shock Waves(Plenary talk) 

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    Event date: 2004.9

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

    Country:China  

  139. 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 

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    Event date: 2004.8 - 2004.10

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

    Venue:Zhang Jia Jie   Country:China  

  140. 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) 

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    Event date: 2004.8

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

    Country:China  

  141. 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 

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    Event date: 2004.6

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

    Country:Japan  

  142. 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) 

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    Event date: 2003.10

    Language:English   Presentation type:Oral presentation (keynote)  

    Venue:Guilin   Country:China  

  143. 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) 

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    Event date: 2003.10

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

    Country:China  

  144. 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) 

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    Event date: 2003.7 - 2007.7

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Sydney   Country:Australia  

  145. A strategy of fast preconditioning for Krylovsubspace methods International conference

    SSS2001(Workshop on Scalable Solver Software 2001, MultiscaleCoupling and Computational Earth Science)(Invited talk) 

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    Event date: 2001.12

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

    Country:Japan  

  146. 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) 

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    Event date: 2001.12

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

    Country:China  

  147. 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) 

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    Event date: 2001.10

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

    Country:Japan  

  148. 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) 

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    Event date: 2001.5

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

    Country:China  

  149. 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) 

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    Event date: 2001.1

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

    Country:Japan  

  150. A regularized conjugate gradient method for symmetricpositive definite system of linear equations International conference

    the Fifth China-Japan Joint Seminaron Numerical Mathematics(Invited talk) 

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    Event date: 2000.8

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

  151. 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) 

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    Event date: 1999.7

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

  152. 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) 

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    Event date: 1999.6

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

    Country:China  

  153. 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) 

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    Event date: 1998.9

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

    Country:Japan  

  154. 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) 

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    Event date: 1993.10

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

    Country:Japan  

  155. 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

    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招待講演) 

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    Event date: 1991.11

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

    Country:Japan  

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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

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    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

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    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

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    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

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  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

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  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

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  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

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    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

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    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)

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    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

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    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)

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    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

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    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

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    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

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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

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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