Updated on 2024/03/27

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 ( 1983.6   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

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    Country:Japan

  9. University of Tsukuba   Lecturer

    1995.11

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    Country:Japan

  10. Nagoya University   Assistant

    1993.4

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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 15

  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. 日本応用数理学会   理事

    2017.4 - 2019.3

  5. Japan Society for Industrial and Applied Mathematics

    2004.4 - 2006.3

  6. Japan Society for Industrial and Applied Mathematics

    2001.4 - 2005.3

  7. Japan Society for Industrial and Applied Mathematics

    2000.4 - 2009.3

  8. Japan Society for Industrial and Applied Mathematics

    1995.4 - 1999.3

  9. Information Processing Society of Japan

    2000.4 - 2004.3

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

    2011.1 - 2012.12

  11. East Asian Journal on Applied Mathematics   Editorial board

  12. Journal of Mathematical Research and Exposition   Editorial board

  13. Journal of Information and Computational Science   Editorial board

  14. International Journal of Numerical Analysis and Modeling   Editorial board

  15. Society for Industrial and Applied Mathematics

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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 92

  1. Coresets for fast causal discovery with the additive noise model

    Zhao, BX; Wang, SL; Chi, LH; Yuan, HN; Yuan, Y; Li, Q; Geng, J; Zhang, SL

    PATTERN RECOGNITION   Vol. 148   2024.4

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

    Zhao, RJ; Sogabe, T; Kemmochi, T; Zhang, SL

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

  3. Tensor product-type methods for solving Sylvester tensor equations

    Niu, J; Sogabe, T; Du, L; Kemmochi, T; Zhang, SL

    APPLIED MATHEMATICS AND COMPUTATION   Vol. 457   2023.11

  4. A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves Invited Reviewed

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

    Commun. Math. Res.     2023.3

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

  5. COMPUTING THE MATRIX FRACTIONAL POWER WITH THE DOUBLE EXPONENTIAL FORMULA

    Tatsuoka, F; Sogabe, T; Miyatake, Y; Kemmochi, T; Zhang, SL

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

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    Language:Japanese  

    DOI: 10.1553/etna_vol54s558

    Web of Science

  6. On a transformation of the <sub>*</sub>-congruence Sylvester equation for the least squares optimization

    Satake, Y; Sogabe, T; Kemmochi, T; Zhang, SL

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

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  7. Algorithms for the computation of the matrix logarithm based on the double exponential formula

    Tatsuoka, F; Sogabe, T; Miyatake, Y; Zhang, SL

    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS   Vol. 373   2020.8

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    Language:Japanese  

    DOI: 10.1016/j.cam.2019.112396

    Web of Science

  8. Adaptive SOR methods based on the Wolfe conditions

    Miyatake, Y; Sogabe, T; Zhang, SL

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

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  9. An Implicit Evaluation Method of Vector 2-Norms Arising from Sphere Constrained Quadratic Optimizations

    Sogabe, T; Suzuki, A; Zhang, SL

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

  10. A STRUCTURE-PRESERVING FOURIER PSEUDO-SPECTRAL LINEARLY IMPLICIT SCHEME FOR THE SPACE-FRACTIONAL NONLINEAR SCHRODINGER EQUATION

    Miyatake, Y; Nakagawa, T; Sogabe, T; Zhang, SL

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

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    Language:Japanese  

    DOI: 10.3934/jcd.2019018

    Web of Science

  11. A Breakdown-Free Block COCG Method for Complex Symmetric Linear Systems with Multiple Right-Hand Sides

    Zhong, HX; Gu, XM; Zhang, SL

    SYMMETRY-BASEL   Vol. 11 ( 10 )   2019.10

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    DOI: 10.3390/sym11101302

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  12. Relation between the T-congruence Sylvester equation and the generalized Sylvester equation

    Satake, Y; Oozawa, M; Sogabe, T; Miyatake, Y; Kemmochi, T; Zhang, SL

    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

  13. Modified Strang splitting for semilinear parabolic problems

    Nakano, K; Kemmochi, T; Miyatake, Y; Sogabe, T; Zhang, SL

    JSIAM LETTERS   Vol. 11   page: 77 - 80   2019

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  14. On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems

    Miyatake, Y; Sogabe, T; Zhang, SL

    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

  15. Solution of the <i>k</i>-th eigenvalue problem in large-scale electronic structure calculations

    Lee, D; Hoshi, T; Sogabe, T; Miyatake, Y; Zhang, SL

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

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    DOI: 10.1016/j.jcp.2018.06.002

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  16. A Look-Back-type restart for the restarted Krylov subspace methods for solving non-Hermitian linear systems

    Imakura, A; Sogabe, T; Zhang, SL

    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

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  17. On a relationship between the T-congruence Sylvester equation and the Lyapunov equation

    Oozawa, M; Sogabe, T; Miyatake, Y; Zhang, SL

    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

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  18. A fast algorithm for solving tridiagonal quasi-Toeplitz linear systems

    Du, L; Sogabe, T; Zhang, SL

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

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    DOI: 10.1016/j.aml.2017.06.016

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  19. 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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  20. Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values

    Ooi, K; Mizuno, Y; Sogabe, T; Yamamoto, Y; Zhang, SL

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

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

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

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

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  22. Energy-preserving H1-Galerkin schemes for the Hunter-Saxton equation Reviewed

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

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

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  23. Locally Optimal and Heavy Ball GMRES Methods

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

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

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  24. Adaptive space transformation: An invariant based method for predicting aerodynamic coefficients of hypersonic vehicles

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

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

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  25. IDR(s) for solving shifted nonsymmetric linear systems Reviewed

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

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

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  26. An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems Reviewed

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

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

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  27. An Efficient Variant of the Restarted Shifted GMRES Method for Solving Shifted Linear Systems

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

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

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  28. An interior eigenvalue problem from electronic structure calculations

    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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  29. A numerical approach to surface Green's functions via generalized eigenvalue problems Reviewed

    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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  30. Solution of generalized shifted linear systems with complex symmetric matrices

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

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

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

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

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

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  33. Backward error analysis of the AllReduce algorithm for householder QR decomposition Reviewed

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

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

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

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

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

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  35. 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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  36. 非直交同時対角化アルゴリズムのハイブリッド解法

    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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  37. A block IDR(s) method for nonsymmetric linear systems with multiple right-hand sides Reviewed

    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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  38. Cache optimization of a non-orthogonal joint diagonalization method Reviewed

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

    JSIAM Letters   Vol. 3   page: 9-12   2011

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  39. 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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  40. Optimization of the Multishift QR Algorithm with Coprocessors for Non-Hermitian Eigenvalue Problems Reviewed

    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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  41. A variant of the IDR(s) method with the quasiminimal residual strategy Reviewed

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

    J. Comput. Appl. Math   Vol. j.cam   page: 10.1016   2011

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

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

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

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

    T. Sogabe, S.-L. Zhang

      Vol. 1   page: 97-107   2011

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  45. 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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  46. A novel algorithm of large-scale simultaneous linear equations Reviewed

    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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  47. 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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  48. An extension of the conjugate residual method to nonsymmetric linear systems Reviewed

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

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

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  49. 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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  50. An Implicit Wavelet Sparse Approximate Inverse Preconditioner Using Block Finger Pattern Reviewed

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

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

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  51. 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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  52. 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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  53. 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 Invited 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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  54. Shifted COCG method and its application to double orbital extended Hubbard model Reviewed

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

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

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

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

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

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  56. 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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  57. A Fully Pipelined Multishift QR Algorithm for the Parallel Solution of Symmetric Tridiagonal Eigenproblems Reviewed

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

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

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  58. 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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  59. 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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  60. A COCR method for solving complex symmetric linear systems Reviewed

    T. Sogabe, S.-L. Zhang

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

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  61. 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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  62. 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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  63. ORTHOMIN(m) 法の変形とその特異な系への適用 Invited 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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  64. Linear algebraic calculation of Green's function for large-scale electronic structure theory Reviewed

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

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

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  65. A variable preconditioning using the SOR method for GCR-Like methods Reviewed

    K. Abe and S.-L. Zhang

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

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  66. 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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  67. 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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  68. A Variant of the Orthomin(2) Method for Singular Linear Systems Reviewed

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

    Numerical Algorithms   Vol. 36   page: 189-202   2004

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

  70. 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: 235-245   2002

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  71. 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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  72. A regularized conjugate gradient method for symmetric positive definite system of linear equations Reviewed

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

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

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  73. 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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  74. 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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  75. The aggregate constaint homotopy method for nonconvex nonlinear programming Reviewed

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

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

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  76. 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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  77. *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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  78. A kind of bivariate cubic splines and related linear operators on type-1 triangulation Reviewed

    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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  79. 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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  80. 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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  81. 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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    Language:Japanese   Publishing type:Research paper (scientific journal)  

  82. 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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  83. 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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    Language:Japanese   Publishing type:Research paper (scientific journal)  

  84. 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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  85. 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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  86. 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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    Language:Japanese   Publishing type:Research paper (scientific journal)  

  87. 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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  88. ランチョス・プロセスに基づく積型反復解法 Reviewed

    張紹良 藤野清次

    日本応用数理学会論文誌   Vol. 5 ( 4 ) page: 343-360   1995

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  89. 丸め誤差の分離に基づく共役勾配系統の解法の考察 Reviewed

    張紹良 藤野清次

    日本応用数理学会論文誌   Vol. 3 ( 3 ) page: 135-146   1993

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  90. 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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  91. 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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  92. 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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▼display all

Books 5

  1. 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

  2. エンサイクロペディア電子情報通信ハンドブック

    多数( Role: Joint author)

    電子情報通信学会編,オーム社  1998 

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    Language:Japanese

  3. 岩波数学辞典第4版

    ( Role: Joint author)

    岩波書店  2007 

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    Language:Japanese

  4. 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

  5. 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

Presentations 49

  1. 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  

  2. 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  

  3. 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  

  4. 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  

  5. 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  

  6. 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  

  7. 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  

  8. 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  

  9. 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  

  10. 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  

  11. 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  

  12. Numerical methods for generalized shifted linear systems with complex symmetric matrices 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)  

    Country:Japan  

  13. 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  

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

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

    International Workshop on Computational Science and Numerical Analysis 

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    Event date: 2012.3

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

    Country:Japan  

  15. Novel linear-algebraic theories in large-scale electronic structure calculation and its application to nano-materials 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 

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    Event date: 2012.3

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

    Country:Japan  

  16. 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  

  17. 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  

  18. 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  

  19. 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  

  20. 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  

  21. 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  

  22. 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  

  23. 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  

  24. 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  

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

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

    Applied Linear Algebra - in honor of Hans Schneider 

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    Event date: 2010.6

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

    Country:Serbia  

  26. GMRES(m) Method with Look-Back-type Restart for Solving Nonsymmetric Linear Systems 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)  

    Country:China  

  27. 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  

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

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    Event date: 2009.11

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

    Country:Japan  

  29. 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  

  30. 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  

  31. 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  

  32. 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  

  33. 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  

  34. 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)  

  35. 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  

  36. 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  

  37. 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  

  38. 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  

  39. 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  

  40. 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  

  41. 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  

  42. 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  

  43. 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  

  44. 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)  

  45. 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)  

  46. 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  

  47. 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  

  48. 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  

  49. 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) 13

  1. 大規模線形方程式の数値解法(GPIDR(s)法)の開発

    Grant number:19K12002  2019.4 - 2024.3

    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.
    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.

  2. 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.

  3. 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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  4. 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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  5. 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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  6. 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) 

  7. 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) 

  8. 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) 

  9. 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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  10. 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) 

  11. 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) 

  12. 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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  13. 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. 数学2及び演習

    2011

  23. 物理工学概論

    2011

  24. 計算数理工学特論

    2011

  25. 計算理工学基礎

    2011

  26. 数学2及び演習

    2010

  27. 微分積分学Ⅱ

    2010

  28. 応用物理学実験第3

    2009

  29. 数学2及び演習

    2009

  30. 物理工学科概論

    2009

  31. 計算数理工学特論

    2009

  32. 計算アルゴリズム

    2009

  33. 線形代数学Ⅱ

    2009

  34. 微分積分学Ⅱ

    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