Abe Kuniyoshi 阿部邦美

… Alternative Names

阿部邦美アベクニヨシ

ABE Kuniyoshi 阿部邦美

KUNIYOSHI Abe 阿部邦美

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Researcher Number	10311086
Other IDs
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Affiliation (Current)	2022: 岐阜聖徳学園大学, 経済情報学部, 教授
Affiliation (based on the past Project Information) *help	2019 – 2021: 岐阜聖徳学園大学, 経済情報学部, 教授 2014 – 2017: 岐阜聖徳学園大学, 経済情報学部, 教授 2011 – 2012: 岐阜聖徳学園大学, 経済情報学部, 教授 2007 – 2011: Gifu Shotoku Gakuen University, 経済情報学部, 准教授 2003 – 2006: 岐阜聖徳学園大学, 経済情報学部, 助教授
Review Section/Research Field	Principal Investigator Engineering fundamentals / Computational science / Basic Section 60100:Computational science-related Except Principal Investigator Engineering fundamentals / Computer system/Network / Science and Engineering / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator Krylov空間法 / 線形方程式 / 一般化共役残差法 / 前処理 / 共役残差法 / 逐次緩和法 / Krylov 空間法 / 複素対称行列 / 丸め誤差解析 / 並列計算 … More / 収束スピード / 定常反復法 / 正定値対称行列 / Krylov部分空間解法 / 特異 / 最小二乗問題 / ハイブリッド / 大規模線形方程式 / Krylov 空間法(反復法) / 残差最小化アプローチ / 積型解法 / 一般化最小残差法 / 特異行列 / 長方形行列 / 初期シャドゥ残差 / 積型反復解法 / 2乗型共役残差法 / 可変的前処理 / 長方行列(特異行列) / 帰納的次元縮小(IDR)定理 / IDR(s)法 / 一般化積型解法 (GPBiCG) / IDRstab 法 / スムージング技法 / ブロック IDR(s)法 / 帰納的次元縮小（IDR）定理 / 一般化積型解法 / IDRstab法 / ブロックIDR(s)法 / Krylow空間法 / 複数右辺項 / 帰納的次元縮小定理 / Induced Dimension Reduction法 / 一般化積型解法(GPBiCG) / 帰納的次元縮小法 / 前処理手法 / 対称行列 / 実用問題 / 丸め誤差の制御 / Krylov空間法線形方程式 / 大規模計算機環境 / 通信箇所の削減 / 収束スピードの改善 … More Except Principal Investigator 線形方程式 / 高速解法 / 計算科学 / クリロフ部分空間法 / 応用数学 / 固有値問題 / 計算サーバ / 大規模数値シミュレーション / ハイパフォーマンスコンピューティング / ミドルウェア / フレームワーク / 大規模行列計算 / 計算物理 / 数理物理 / 数理工学 / シミュレーション工学 / 計算物質科学 / シミュレーション / 超大規模系 / 最適化 / 大規模連立1次方程式 / 高速数値解法 / 前処理技法 / スーパーコンピュータ / 並列コンピュータ / 特異な行列 / ライブラリー / 大規模線形方程式 / 可変的前処理 / 電子構造計算 / Toeplitz行列 / Bi-CR法 / COCR法 / large-scale 1inear systems / fast numerical method / Krylov-subspace method / preconditioning technique / super computer / parallel computer / singular matrix / library / 反復法 / H-行列 / 一般化優対角行列 / 最適値問題 / 精度保証 / accuracy / H-matrix / preconditioning / the iterative method / finite difference / the CG method / Kryllov su space method / NCP function Less

New solvers and strategies based on mathematical analyses to enhance parallel performance on massive computersPrincipal Investigator
- Principal Investigator
  
  阿部邦美
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 60100:Computational science-related
- Research Institution
  Gifu Shotoku Gakuen University
Mathematical analysis of rounding errors which arise from new solvers for solving linear equations and its future developmentsPrincipal Investigator
- Principal Investigator
  
  Abe Kuniyoshi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Computational science
- Research Institution
  Gifu Shotoku Gakuen University
Fast solution for ultra-large scale systems as a basis of computational materials science
- Principal Investigator
  
  ZHANG Shao-Liang
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
- Review Section
  
  Science and Engineering
- Research Institution
  Nagoya University
Developments of new linear solvers based on the induced dimension reduction theoremPrincipal Investigator
- Principal Investigator
  
  ABE Kuniyoshi
- Project Period (FY)
  2010 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Gifu Shotoku Gakuen University
Development of the Framework to Support Large-scale Numerical Simulation on Multi-platform
- Principal Investigator
  
  HIMENO Ryutaro
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Computer system/Network
- Research Institution
  The Institute of Physical and Chemical Research
A study on fast solvers for large linear systems in the field of scientific computations
- Principal Investigator
  
  ZHANG Shao-Liang (ZHANG Shao-liang)
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Nagoya University
A new solver derived from a minimal residual approach for solving linear systems and its applicationPrincipal Investigator
- Principal Investigator
  
  KUNIYOSHI Abe
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Gifu Shotoku Gakuen University
大規模線形方程式ソルバーを高速化する前処理手法の開発とその応用Principal Investigator
- Principal Investigator
  
  阿部邦美
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Gifu Shotoku Gakuen University
Synthetical development of fast numerical methods for solving large-scale linear systems which arise g from the field of computational science and engineerin
- Principal Investigator
  
  ZHANG Shao-liang
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Engineering fundamentals
- Research Institution
  Nagoya University
  The University of Tokyo
The synthetic research for the basic iterative method for the non-diagonal dominant matrix.
- Principal Investigator
  
  NIKI Hiroshi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Okayama University of Science

[Journal Article] On Convergence Speed of Parallel Variants of GPBiCG Method for Solving Linear Equations2019
- Author(s)
  Kuniyoshi Abe, Soichiro Ikuno
- Journal Title
  
  Journal of Physics: Conference Series
  
  Volume: 1391
- DOI
  10.1088/1742-6596/1391/1/012093
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K12008
[Journal Article] Converting BiCR Method for Linear Equations with Complex Symmetric Matrices2018
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Journal Title
  
  Applied Mathematics and Computation
  
  Volume: 321 Pages: 564-576
- DOI
  10.1016/j.amc.2017.10.046
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] Application of Eisenstat-SSOR Preconditioner to Realistic Stress Analysis Problems by Parallel Cache-Cache Computing2018
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Journal Title
  
  Advances in Parallel Computing, Parallel Computing is Everywhere
  
  Volume: 32 Pages: 17-26
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] LBAS: Lanczos Bidiagonalization with Subspace Augmentation for Discrete Inverse Problems2017
- Author(s)
  Per Christian Hansen, Kuniyoshi Abe
- Journal Title
  
  Technical Report 2017-03 - DTU
  
  Volume: 2017-03 - DTU Pages: 1-12
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] Variable Preconditioned Krylov Subspace Method with Communication Avoiding Technique for Electromagnetic Analysis2017
- Author(s)
  Soichiro Ikuno, Gong Chen, Taku Itoh, Susumu Nakata, Kuniyoshi Abe
- Journal Title
  
  IEEE Transactions on Magnetics
  
  Volume: 99 Pages: 1-1
- DOI
  10.1109/tmag.2017.2655513
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390135, KAKENHI-PROJECT-26390136, KAKENHI-PROJECT-15K00177
[Journal Article] Performance of Krylov subspace methods for symmetric matrices in hybrid parallelization2017
- Author(s)
  K. Abe, S. Fujino
- Journal Title
  
  PDP 2017 proceedings
  
  Volume: なし Pages: 224-228
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] On MrR Method for Solving Linear Equations with Symmetric Matrices2017
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Journal Title
  
  Communications in Computer and Information Science, Modeling, Design and Simulation of Systems (Part 2)
  
  Volume: 752 Pages: 524-533
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] 線形方程式を解くためのMrR（ミスターR）法について2016
- Author(s)
  阿部邦美，藤野清次
- Journal Title
  
  火の国情報シンポジウム2016論文集（情報処理学会報告会 IPSJ SIG Technical Report）
  
  Volume: なし Pages: 1-5
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] Hybrid BiCR methods with a stabilization strategy for solving linear equations2015
- Author(s)
  Kuniyoshi Abe, Kensuke Aihara
- Journal Title
  
  AIP Conference Proceedings 1648 (ICNAAM 2014)
  
  Volume: 1648
- DOI
  10.1063/1.4912917
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] Variant Implementations of SCBiCG Method for Linear Equations with Complex Symmetric Matrices2015
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Journal Title
  
  Proceedings: 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
  
  Volume: なし Pages: 117-120
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] Preconditioned IDRStab Algorithms for Solving Nonsymmetric Linear Systems2015
- Author(s)
  Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata
- Journal Title
  
  IAENG International Journal of Applied Mathematics
  
  Volume: 45 Pages: 164-174
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] IDR(s) for solving shifted nonsymmetric linear systems2015
- Author(s)
  L. Du, T. Sogabe and S.-L. Zhang
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 274 Pages: 35-43
- DOI
  10.1016/j.cam.2014.07.004
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] An implementation IDRstab with biorthogonality relations for solving linear systems2015
- Author(s)
  Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata
- Journal Title
  
  AIP Conference Proceedings 1648 (ICNAAM 2014)
  
  Volume: 1648
- DOI
  10.1063/1.4912920
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] A quasi-minimal residual variant of IDRstab using the residual smoothing technique2014
- Author(s)
  Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata
- Journal Title
  
  Applied Mathematics and Computation
  
  Volume: 236 Pages: 67-77
- DOI
  10.1016/j.amc.2014.03.034
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26390136
[Journal Article] An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems2014
- Author(s)
  L. Du, T. Sogabe and S.-L. Zhang
- Journal Title
  
  Applied Mathematics and Computation
  
  Volume: 244 Pages: 10-15
- DOI
  10.1016/j.amc.2014.06.104
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] An Efficient Variant of the Restarted Shifted GMRES Method for Solving Shifted Linear Systems2013
- Author(s)
  A. Imakura, T. Sogabe and S.-L. Zhang
- Journal Title
  
  Journal of Mathematical Research with Applications
  
  Volume: 33 Pages: 127-141
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] Solving linear equations with a stabilized GPBiCG method2013
- Author(s)
  K. Abe, G. Sleijpen
- Journal Title
  
  Applied Numerical Mathematics
  
  Volume: 67 Pages: 4-16
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] Inversion of k-tridiagonal matrices with Toeplitz structure2013
- Author(s)
  J. Jia, T. Sogabe, and M.E.A. El-Mikkawy
- Journal Title
  
  Comput. Math. Appl.
  
  Volume: 65 Pages: 116-125
- DOI
  10.1016/j.camwa.2012.11.001
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] An interior eigenvalue problem from electronic structure calculations2013
- Author(s)
  D. Lee, T. Miyata, T. Sogabe, T. Hoshi and S.-L. Zhang
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 30 Issue: 3 Pages: 625-633
- DOI
  10.1007/s13160-013-0118-0
- NAID
  210000179354
- ISSN
  0916-7005, 1868-937X
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004, KAKENHI-PROJECT-23540370, KAKENHI-PROJECT-24760061, KAKENHI-PUBLICLY-25104718
[Journal Article] Solving linear equations with a stabilized GPBiCG method2013
- Author(s)
  Kuniyoshi Abe, Gerard Sleijpen
- Journal Title
  
  Applied Numerical Mathematics
  
  Volume: (掲載決定) Pages: 4-16
- DOI
  10.1016/j.apnum.2011.06.010
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017, KAKENHI-PLANNED-22104004
[Journal Article] A BiCGStab2 variant of IDR(s) for solving linear equations2012
- Author(s)
  Kuniyoshi Abe, Gerard Sleijpen
- Journal Title
  
  ICNAAM 2012 proceedings, AIP Conference Proceedings
  
  Volume: 1479 Pages: 741-744
- DOI
  10.1063/1.4756242
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] An order-n electronic structure theory with generalized eigenvalue equations and its application to a ten-million-atom system2012
- Author(s)
  Takeo Hoshi, Susumu Yamamoto, Takeo Fujiwara, Tomohiro Sogabe, Shao-Liang Zhang
- Journal Title
  
  J. Phys.: Condens. Matter
  
  Volume: 24 Pages: 165502-165502
- DOI
  10.1088/0953-8984/24/16/165502
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540370, KAKENHI-PLANNED-20103005, KAKENHI-PLANNED-22104004, KAKENHI-PUBLICLY-23104509
[Journal Article] IDRstab法へのスムージングの適用とその収束性2012
- Author(s)
  相原研輔,阿部邦美,石渡恵美子
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1791 Pages: 11-22
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] Hybrid Bi-CG methods with a Bi-CG formulation closer to the IDR2012
- Author(s)
  K. Abe, G. Sleijpen
- Journal Title
  
  approach
  
  Volume: 208 Pages: 10889-10899
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] A BiCGStab2 variant of IDR(s) for solving linear equations2012
- Author(s)
  K. Abe, G. Sleijpen
- Journal Title
  
  AIP Conference Proceedings
  
  Volume: 1479 Pages: 741-744
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] Solution of generalized shifted linear systems with complex symmetric matrices2012
- Author(s)
  T. Sogabe, T. Hoshi, S.-L. Zhang, and T. Fujiwara
- Journal Title
  
  J. Comp. Phys
  
  Volume: 231 Pages: 5669-5684
- DOI
  10.1016/j.jcp.2012.04.046
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21760058, KAKENHI-PLANNED-20103005, KAKENHI-PLANNED-22104004, KAKENHI-PUBLICLY-23104509
[Journal Article] IDRstab法へのスムージングの適用とその収束性2012
- Author(s)
  相原研輔，阿部邦美，石渡恵美子
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1791 Pages: 11-22
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] An Efficient Variant of the GMRES(m) Method Based on the Error Equations2012
- Author(s)
  A. Imakura, T. Sogabe, and S.-L. Zhang
- Journal Title
  
  East Asian Journal on Applied Mathematics
  
  Volume: 2 Pages: 19-32
- DOI
  10.4208/eajam.280611.030911a
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21760058, KAKENHI-PLANNED-22104004
[Journal Article] Hybrid Bi-CG methods with a Bi-CG formulation closer to the IDR approach2012
- Author(s)
  Kuniyoshi Abe, Gerard Sleijpen
- Journal Title
  
  Applied Mathematics and Computation
  
  Volume: 208 Pages: 10889-10899
- DOI
  10.1016/j.amc.2012.04.049
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067, KAKENHI-PLANNED-22104004
[Journal Article] An alternative implementation of the IDRstab method saving vector up dates2011
- Author(s)
  Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata
- Journal Title
  
  JSIAM Letters
  
  Volume: 3 Pages: 69-72
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] An alternative implementation of the IDRstab method saving vector updates2011
- Author(s)
  K. Aihara, K. Abe, E. Ishiwata
- Journal Title
  
  JSIAM Letters
  
  Volume: 3 Pages: 69-72
- NAID
  130001390409
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] Efficient and accurate linear algebraic methods for large-scale electronic structure calculations with non-orthogonal atomic orbitals2011
- Author(s)
  H.Teng, T.Fujiwara, T.Hoshi, T.Sogabe, S.-L.Zhang, S.Yamamoto
- Journal Title
  
  Phys.Rev.B
  
  Volume: 83,165103 Pages: 1-12
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] An extension of the COCR method to solving shifted linear systems with complex symmetric matrices2011
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  East Asia J.on Appl.Math
  
  Volume: 1 Pages: 97-107
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] An alternative implementation of the IDRstab method saving vector updates2011
- Author(s)
  K.Aihara, K.Abe, E.Ishiwata
- Journal Title
  
  JSIAM Letters
  
  Volume: 3 Pages: 69-72
- NAID
  130001390409
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] An alternative implementtation of the IDRstab method saving vector updates2011
- Author(s)
  K. Aihara, K. Abe, E. Ishiwata
- Journal Title
  
  JSIAM Letters
  
  Volume: 3 Pages: 69-72
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] A variable preconditioned GCR method using the GSOR method for singular linear systems2010
- Author(s)
  D.Aoto, E.Ishiwata, K.Abe
- Journal Title
  
  J.of Comput.and Appl.Math.
  
  Volume: 234 Pages: 703-712
- NAID
  110006793758
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] BiCR Variants of hybrid BiCG methods for solving linear systems with nonsymmetric matrices2010
- Author(s)
  K. Abe, G. Sleijpen
- Journal Title
  
  J. of Comput. And Appl. Math.
  
  Volume: 234 Pages: 985-994
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] BiCR Variants of hybrid BiCG methods forsolving linear systems with nonsymmetric matrices2010
- Author(s)
  K.Abe, G.Sleijpen
- Journal Title
  
  J.of Comput.and Appl.Math.
  
  Volume: 234 Pages: 985-994
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] Four-point correlation function of a passive scalar field in rapidly fluctuating turbulence : Numerical analysis of an exact closure equation2010
- Author(s)
  Y.Mizuno, K.Ohi, T.Sogabe, Y.Yamamoto, Y.Kaneda
- Journal Title
  
  Phys.Rev.E
  
  Volume: 82, 036316 Pages: 1-9
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] A strategy for reducing the inner iteration counts for the variable preconditioning GCR(m) method2010
- Author(s)
  K.Aihara, E.Ishiwata, K.Abe
- Journal Title
  
  JSIAM Letters
  
  Volume: 2 Pages: 77-80
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] A novel algorithm of large-scale simultaneous linear equations2010
- Author(s)
  T.Fujiwara, T.Hoshi, S.Yamamoto, T.Sogabe, S.-L.Zhang
- Journal Title
  
  J.Phys.: Condens.Matter
  
  Volume: 22, 074206 Pages: 1-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] BiCR Variants of Hybrid BiCG Methods for Solving Linear Systems with Nonsymmetric Matrices2010
- Author(s)
  Kuniyoshi Abe, Gerard Sleijpen
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 234(4) Pages: 985-994
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] A strategy for reducing the inner iteration counts for the variable preconditioning GCR(m) method2010
- Author(s)
  K. Aihara, E. Ishiwata, K. Abe
- Journal Title
  
  JSIAM Letters
  
  Volume: 2 Pages: 77-80
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] A novel algorithm of large-scale simultaneous linear equations2010
- Author(s)
  T.Fujiwara, T.Hoshi, S.Yamamoto, T.Sogabe, S.-L.Zhang
- Journal Title
  
  J.Phys.: Condens.Matter
  
  Volume: 22, 074206 Pages: 1-6
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] A variable preconditioned GCR method using the GSOR method for singular linear systems2010
- Author(s)
  D. Aoto, E. Ishiwata, K. Abe
- Journal Title
  
  J. of Comput. And Appl. Math.
  
  Volume: 234 Pages: 703-712
- NAID
  110006793758
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] A variable preconditioned GCR method using the GSOR method for singular linear systems2010
- Author(s)
  D.Aoto, E.Ishiwata, K.Abe
- Journal Title
  
  J.of Comput.And Appl.Math.
  
  Volume: 234 Pages: 703-712
- NAID
  110006793758
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] BiCR Variants of hybrid BiCG methods for solving linear systems with nonsymmetric matrices2010
- Author(s)
  K.Abe, G.Sleijpen
- Journal Title
  
  J.of Comput.And Appl.Math.
  
  Volume: 234 Pages: 985-994
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22560067
[Journal Article] A variable preconditioned GCR method using the GSOR method for singular linear systems2010
- Author(s)
  D.Aoto, E.Ishiwata, K.Abe
- Journal Title
  
  J. of Comput. and Appl.Math.
  
  Volume: 234 Pages: 703-712
- NAID
  110006793758
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-22104004
[Journal Article] A novel algorithm of large-scale simultaneous linear equations2010
- Author(s)
  T.Fujiwara, T.Hoshi, S.Yamamoto, T.Sogabe, S.-L.Zhang
- Journal Title
  
  J.Phys. : Condens.Matter Vol.22
  
  Pages: 1-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] A^Tのべき乗を用いた初期シャドウ残差によるBiCG, CGS法の収束性の向上2009
- Author(s)
  鬼束崇博, モーツウツウ, 阿部邦美, 尾上勇介, 藤野清次
- Journal Title
  
  日本応用数理学会論文誌 19
  
  Pages: 121-142
- NAID
  110007162158
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A^Tのべき乗を用いた初期シャドウ残差によるBiCG, CGS法の収束性の向上2009
- Author(s)
  鬼束崇博, モーツゥツゥ, 阿部邦美, 尾上勇介, 藤野清次
- Journal Title
  
  日本応用数理学会論文誌第19巻
  
  Pages: 121-142
- NAID
  110007162158
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] An extended GS method for dense linear systems2009
- Author(s)
  Hiroshi Niki, Toshiyuki Kohno, Kuniyoshi Abe
- Journal Title
  
  J.of Computational and Applied Mathematics 231
  
  Pages: 177-186
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] An extension of the conjugate residual method to nonsymmetric linear systems2009
- Author(s)
  T.Sogabe, M.Sugihara, S.-L..Zhang
- Journal Title
  
  J. Comput. Appl. Math. 226
  
  Pages: 103-113
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] A^Tのべき乗を用いた初期シャドウ残差によるBiCG, CGS 法の収束性の向上2009
- Author(s)
  鬼束崇博,モーツゥツゥ,阿部邦美,尾上勇介,藤野清次
- Journal Title
  
  日本応用数理学会論文誌第19 巻第1 号
  
  Pages: 121-142
- NAID
  110007162158
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] An extension of the conjugate residual method to nonsymmetric linear systems2009
- Author(s)
  T. Sogabe, M. Sugihara, S.-L. Zhang
- Journal Title
  
  J.Comput.Appl.Math 226巻
  
  Pages: 103-113
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] A Variant Algorithm of the Orthomin(m)Method for Solving Linear Systems2008
- Author(s)
  Kuniyoshi Abe, Shao-Liang Zhang
- Journal Title
  
  Applied Mathematics and Computation 206
  
  Pages: 42-49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] 対称な線形方程式のための残差2 乗型共役残差法2008
- Author(s)
  阿部邦美,藤野清次,モーツゥツゥ
- Journal Title
  
  シミュレーション(日本シミュレーション学会論文誌) 第27 巻1 号
  
  Pages: 63-70
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] On a weighted quasi-residual minimization strategy for solving complex symmetric shifted linear systems2008
- Author(s)
  T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  Electron.Trans.Numer.Anal Vol.31
  
  Pages: 126-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] Shifted COCG method and its application to double orbital extended Hubbard model2008
- Author(s)
  S. Yamamoto, T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara
- Journal Title
  
  J.Phys.Soc.Jpn 77巻
  
  Pages: 1-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] Shifted COCG method and its application to double orbital extended Hubbard model2008
- Author(s)
  S.Yamamoto, T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  J.Phys.Soc.Jpn. 77
  
  Pages: 1-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] 特異行列に対するGSOR 法を用いた可変的前処理付きGCR 法2008
- Author(s)
  青戸大介,石渡恵美子,阿部邦美
- Journal Title
  
  日本応用数理学会論文誌第18 巻第2 号
  
  Pages: 271-284
- NAID
  110006793758
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] 特異行列に対するGSOR法を用いた可変的前処理付きGCR法2008
- Author(s)
  青戸大介, 石渡恵美子, 阿部邦美
- Journal Title
  
  日本応用数理学会論文誌 18
  
  Pages: 271-284
- NAID
  110006793758
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A Variant Algorithm of the Orthomin(m) Method for Solving Linear Systems2008
- Author(s)
  Kuniyoshi Abe, Shao-Liang Zhang
- Journal Title
  
  Applied Mathematics and Computation Vol. 206, No. 1
  
  Pages: 42-49
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] AOR法を用いた可変的前処理付き一般化共役残差法2008
- Author(s)
  前田祥兵, 阿部邦美, 曽我部知広, 張紹良
- Journal Title
  
  日本応用数理学会論文誌 18・1
  
  Pages: 155-170
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] 実対称行列を係数にもつ線形方程式のための残差2乗型共役残差法2008
- Author(s)
  阿部邦美, 藤野清次, モートゥトゥ
- Journal Title
  
  シミュレーション(日本シミュレーション学会論文誌) 27・1
  
  Pages: 63-70
- NAID
  110006656228
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] AOR 法を用いた可変的前処理付き一般化共役残差法2008
- Author(s)
  前田祥兵, 阿部邦美, 曽我部知広, 張紹良
- Journal Title
  
  日本応用数理学会論文誌 Vol.18
  
  Pages: 155-170
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] 対角項に零を持つ線形方程式に対するSOR 法を用いる可変的前処理付き一般化最小残差法2008
- Author(s)
  長原里華,阿部邦美,石渡恵美子,藤野清次
- Journal Title
  
  本計算工学会論文集 2008 年号
- NAID
  130008056274
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] AOR 法を用いた可変的前処理付き一般化共役残差法2008
- Author(s)
  前田祥兵,阿部邦美,曽我部知広,張紹良
- Journal Title
  
  日本応用数理学会論文誌第18 巻第1 号
  
  Pages: 155-170
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] AOR法を用いた可変的前処理付き一般化共役残差法2008
- Author(s)
  前田祥兵, 阿部邦美, 曽我部知広, 張紹良
- Journal Title
  
  日本応用数理学会論文誌 18巻
  
  Pages: 155-170
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] Shifted COCG method and its application to double orbital extended Hubbard model2008
- Author(s)
  S.Yamamoto, T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  J.Phys.Soc.Jpn Vol.77
  
  Pages: 1-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] On a weighted quasi-residual minimization strategy for solving complex symmetric shifted linear systems2008
- Author(s)
  T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara
- Journal Title
  
  Electron.Trans.Numer.Anal 31巻
  
  Pages: 126-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] 対角項に零を持つ線形方程式に対するSOR法を用いる可変的前処理付き一般化最小残差法2008
- Author(s)
  長原里華, 阿部邦美, 石渡恵美子, 藤野清次
- Journal Title
  
  日本計算工学会論文集論文番号20080010(オンラインジャーナル)
- NAID
  130008056274
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] AOR法を用いた可変的前処理付き一般化共役残差法2008
- Author(s)
  前田祥兵, 阿部邦美, 曽我部知広, 張紹良
- Journal Title
  
  日本応用数理学会論文誌 18
  
  Pages: 155-170
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] On a weighted quasi-residual minimization strategy for solving complex symmetric shifted linear systems2008
- Author(s)
  T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  Electron.Trans.Numer.Anal. 31
  
  Pages: 126-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] BiCR法の残差をベースにした前処理付きMSCRS 法について2007
- Author(s)
  尾上勇介,藤野清次,阿部邦美
- Journal Title
  
  日本計算工学会論文集 2007 年号
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] 非対称行列用共役残差法に基づく積型反復解法2007
- Author(s)
  阿部邦美, 曽我部知広, 藤野清次, 張紹良
- Journal Title
  
  情報処理学会論文誌「コンピューティングシステム」(ACS論文誌) (印刷中)
- NAID
  110006274058
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A numerical method for calculating the Green's function arising from electronic structure theory2007
- Author(s)
  T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  in : Frontiers of Computational Science (eds. by Y. Kaneda, H. Kawamura, M. Sasai)
  
  Pages: 189-195
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A COCR method for solving complex symmetric linear systems2007
- Author(s)
  T.Sogabe
- Journal Title
  
  Journal of Computational and Applied Mathematics Vol. 199
  
  Pages: 297-303
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] MRTR法の複素対称線形方程式への拡張2007
- Author(s)
  塩出亮, 阿部邦美, 藤野清次
- Journal Title
  
  日本応用数理学会論文誌 17・1
  
  Pages: 27-42
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A COCR method for solving complex symmetric linear systems2007
- Author(s)
  T. Sogabe, S.-L. Zhang
- Journal Title
  
  J.Computational and Applied Mathematics 199巻
  
  Pages: 297-303
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] A Variant of SOR Method for Singular Linear Systems and its application to a Variable Preconditioned GCR Method2007
- Author(s)
  Daisuke Aoto, Emiko Ishiwata, Kuniyoshi Abe
- Journal Title
  
  ICNAAM 2007 proceedings(AIP)
  
  Pages: 54-57
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A COCR method for solving complex symmetric linear systems2007
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  J. Comput. Appl. Math. 199
  
  Pages: 297-303
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] 非対称用共役残差法に基づく積型反復解法2007
- Author(s)
  阿部邦美,曽我部知広,藤野清次,張紹良
- Journal Title
  
  情報処理学会論文誌スーパーコンピューティングシステム第48 巻SIG8号(ACS18)
  
  Pages: 11-21
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] MRTR法の複素対称線形方程式ヘの拡張2007
- Author(s)
  塩出亮, 阿部邦美, 藤野清次
- Journal Title
  
  日本応用数理学会論文誌 17・1
  
  Pages: 27-42
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A COCR method for solving complex symmetric linear systems2007
- Author(s)
  T. Sogabe and S.-L. Zhang
- Journal Title
  
  J. Computatioal and Applied Mathematics 199
  
  Pages: 297-303
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19560065
[Journal Article] BiCR法の残差ベクトルをベースにしたModified S(Stabilized) CRS 法の提案2007
- Author(s)
  尾上勇介,藤野清次,阿部邦美
- Journal Title
  
  日本応用数理学会論文誌第17 巻第4号
  
  Pages: 495-509
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A COCR method for solving complex symmetric linear systems2007
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  J. Comput. Appl. Math. 199
  
  Pages: 297-303
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] MRTR 法の複素対称線形方程式への拡張2007
- Author(s)
  塩出亮,阿部邦美,藤野清次
- Journal Title
  
  日本応用数理学会論文誌第17 巻第1 号
  
  Pages: 24-42
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] BiCR法の残差をべースにした前処理付きMSCRS法について2007
- Author(s)
  尾上勇介, 藤野清次, 阿部邦美
- Journal Title
  
  日本計算工学会論文集 20070023
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A numerical method for calculating the Green's function arising from electronic structure theory2007
- Author(s)
  T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  Frontiers of Computational Science(in Y. Kaneda, H. Kawamura and M. Sasai eds.)( Springer-Verlag)
  
  Pages: 189-195
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] BiCR法の残差ベクトルをべースにしたModified S(Stabilized)CRS法の提案2007
- Author(s)
  尾上勇介, 藤野清次, 阿部邦美
- Journal Title
  
  日本応用数理学会論文誌 17・4
  
  Pages: 495-509
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] COCR method for solving complex symmetric linear systems2007
- Author(s)
  T.Sogabe
- Journal Title
  
  Journal of Computational and Applied Mathematics 199
  
  Pages: 297-303
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] An iterative method based on an A-biorthogonalization process for nonsymmetric linear systems2006
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  in : Proceedings of The 7th China-Japan Seminar on Numerical Mathematics(eds. Z.-C. Shi and H. Okamoto)(Science Press)
  
  Pages: 120-130
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Varinat of Orthomin(m) Method for Solving Linear Systems2006
- Author(s)
  Kuniyoshi Abe, Shao-Liang Zhang
- Journal Title
  
  ICNAAM 2006 proceedings
  
  Pages: 15-18
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] MRTR 法の対称正定値行列用前処理について2006
- Author(s)
  塩出亮,藤野清次,阿部邦美
- Journal Title
  
  日本計算工学会論文集 2006 年号
- NAID
  130008056135
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A Varinat of Orthomin(m) Method for Solving Linear Systems2006
- Author(s)
  Kuniyoshi Abe, Shao-Liang Zhang
- Journal Title
  
  ICNAAM 2006 proceedings, WILEY-VCH
  
  Pages: 15-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] Linear algebraic calculation of Green's function for large-scale electronic structure theory2006
- Author(s)
  R.Takayama, T.Hoshi, T.Sogabe, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  Phys. Rev. B73, 165108
  
  Pages: 1-9
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] Orthomin(m)法の変形とその特異な系への適用2006
- Author(s)
  阿部邦美,張紹良
- Journal Title
  
  日本応用数理学会論文誌第16 巻第4 号
  
  Pages: 385-398
- NAID
  110006197068
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] CRS : a fast algorithm based on Bi-CR for solving nonsymmeric linear systems2006
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  北海道大学数学講究録 112
  
  Pages: 15-18
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] Orthomin(m)法の変形とその特異な系への適用2006
- Author(s)
  阿部邦美, 張紹良
- Journal Title
  
  日本応用数理学会論文誌 16・4
  
  Pages: 385-398
- NAID
  110006197068
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] Application of MRTR Method for Solving Complex Symmetric Linear Systems2006
- Author(s)
  Akira Shiodeo, Kuniyoshi Abe, Seiji Fujino
- Journal Title
  
  Systems Modeling and Simulation (eds. By K. Koyamada, S. Tamura and O. Ono), Theory and Applications, Asia Simulation Conference 2006, Springer,
  
  Pages: 108-112
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] CRS : a fast algorithm based on Bi-CR for solving nonsymmeric linear systems2006
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  Hokkaido University Technical Report Series in Mathematics(北海道大学数学講究録) 112
  
  Pages: 15-18
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] ORTHOMIN(m)法の変形とその特異な系ヘの適用2006
- Author(s)
  阿部邦美, 張紹良
- Journal Title
  
  日本応用数理学会論文誌 16・4
  
  Pages: 385-398
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] Application of MRTR Method for Solving Complex Symmetric Linear Systems2006
- Author(s)
  A.Shiodeo, K.Abe, S.Fujino
- Journal Title
  
  Systems Modeling and Simulation(Theory and Applications)(eds. by K. Koyamada, S. Tamura and O. Ono)(Springer)
  
  Pages: 108-112
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] Application of MRTR Method for Solving Complex Symmetric Linear Systems2006
- Author(s)
  Akira Shiodeo, Kuniyoshi Abe, Seiji Fujino
- Journal Title
  
  Systems Modeling and Simulation (eds. by K. Koyamada, S. Tamura, O. Ono), Theory and Applications
  
  Pages: 108-112
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] An iterative method based on an A-biorthogonalization process for nonsymmetric linear systems2006
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  in : Proceedings of The 7th China-Japan Seminar on Numerica l Mathematics (eds. by Z.-C. Shi, H. Okamoto)
  
  Pages: 120-130
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] Linear algebraic calculation of Green's function for large-scale electronic structure theory2006
- Author(s)
  R.Takayama, T.Hoshi, T.Sogabe, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  Phys. Rev. B 73 165108
  
  Pages: 1-9
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] A Varinat of Orthomin(m) Method for Solving Linear Systems2006
- Author(s)
  K.Abe, S.-L.Zhang
- Journal Title
  
  ICNAAM 2006 proceedings, WILEY-VCH
  
  Pages: 15-18
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A variable preconditioning using the SOR method for GCR-Like methods2005
- Author(s)
  K.Abe, S.-L.Zhang
- Journal Title
  
  International Journal of Numerical Analysis and Modeling 2・2
  
  Pages: 147-161
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Numerical Study for Effects of Inner Solvers in Variable Preconditioned GCR2005
- Author(s)
  Kuniyoshi Abe, Shao-Liang Zhang
- Journal Title
  
  ICNAAM 2005 Proceedings
  
  Pages: 324-327
- Data Source
  KAKENHI-PROJECT-15760049
[Journal Article] A Variable Preconditioning with the SOR Method for the GCR-like Methods2005
- Author(s)
  K.Abe, S.Zhnag
- Journal Title
  
  International J.of Numerical Analysis and Modeling 2
  
  Pages: 147-162
- Data Source
  KAKENHI-PROJECT-15540144
[Journal Article] A variable preconditioning using the SOR method for GCR-like methods.2005
- Author(s)
  K.Abe, S.Zhan
- Journal Title
  
  Int.J.of Numerical Analysis and Modeling vol.2
  
  Pages: 147-161
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540144
[Journal Article] A Variable Preconditioning Using the SOR Method for GCR-like Methods2005
- Author(s)
  K.Abe
- Journal Title
  
  International J. of Numerical Analysis ＆ Modeling Vol. 2
  
  Pages: 147-162
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A variable preconditioning using the SOR method for GCR-Like methods2005
- Author(s)
  K.Abe, S.-L.Zhang
- Journal Title
  
  International Journal of Numerical Analysis and Modeling 2-2
  
  Pages: 147-161
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Variable Preconditioning with the SOR Method for the GCR-like Methods2005
- Author(s)
  Kuniyoshi Abe, Shao-Liang Zhang
- Journal Title
  
  International J.of Numerical Analysis and Modeling Vol.2・No.2
  
  Pages: 147-162
- Data Source
  KAKENHI-PROJECT-15760049
[Journal Article] An Extension of the Conjugate Residual Method for Solving Nonsymmetric Linear Systems2005
- Author(s)
  T.Sogabe
- Journal Title
  
  Transactions of the Japan Society for Industrial and Applied Mathematics Vol.15, No 3
  
  Pages: 445-459
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] MRTR法の対称正定値行列用前処理について2005
- Author(s)
  塩出亮, 藤野清次, 阿部邦美
- Journal Title
  
  Transactions of JSCBS(日本計算工学会) 2005号
- NAID
  130008056135
- Data Source
  KAKENHI-PROJECT-15760049
[Journal Article] A Variable Preconditioning Using the SOR Method for GCR-like Methods2005
- Author(s)
  K.Abe
- Journal Title
  
  International J. of Numerical Analysis ＆ Modeling 2
  
  Pages: 147-162
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Variable Preconditioning with the SOR Method for the GCR-like Methods2005
- Author(s)
  K.Abe, S.Zhnag
- Journal Title
  
  International J. of Numerical Analysis and Modeling 2
  
  Pages: 147-162
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540144
[Journal Article] Extended conjugate residual methods for solving nonsymmtric linear systems2004
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  in Numerical Linear Algebra and Optimization (Science Press, Beijing)
  
  Pages: 88-99
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Variant of the Orthomin(2) Method for Singular Linear Systems2004
- Author(s)
  K.Abe, S.-L.Zhang, T.Mitsui, C.-H.Jin
- Journal Title
  
  Numerical Algorithms 36
  
  Pages: 189-202
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Variant of the Orthamin (2) Method for Singular Linear Systems2004
- Author(s)
  K.Abe
- Journal Title
  
  Numerical Algorithms Vol.36
  
  Pages: 189-202
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Variant of the 0rthamin(2) Method for Singular Linear Systems2004
- Author(s)
  K.Abe
- Journal Title
  
  Numerical Algorithms 36
  
  Pages: 189-202
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Variant of the Orthomin(2) Method for Singular Linear Systems2004
- Author(s)
  Kuniyoshi ABE, Shao-Liang ZHANG
- Journal Title
  
  Numerical Algorithms 36・3
  
  Pages: 189-202
- Data Source
  KAKENHI-PROJECT-15760049
[Journal Article] On an Improvement of the CGS Method2004
- Author(s)
  T.Sogabe
- Journal Title
  
  Transactions of the Japan Society for Industrial and Applied Mathematics Vol.14, No 1
  
  Pages: 1-12
- NAID
  110001878242
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] A Variant of SOR Method for Singular Linear Systems and its application to a Variable Preconditioned GCR Method
- Author(s)
  Daisuke Aoto, Emiko Ishiwata, Kuniyoshi Abe
- Journal Title
  
  ICNAAM 2007 proceedings, American Institute of Physics
  
  Pages: 54-57
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] Solving linear equations with a stabilized GPBiCG method
- Author(s)
  K. Abe, G. Sleijpen
- Journal Title
  
  Applied Numerical Mathematics
  
  Volume: (採録決定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] A variable preconditioned GCR(m)method using the GSOR method for singular and rectangular linear systems
- Author(s)
  Daisuke Aoto, Emiko Ishiwata, Kuniyoshi Abe
- Journal Title
  
  J.of Computational and Applied Mathematics (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] A COCR method for solving complex symmetric linear systems
- Author(s)
  T.Sogabe, S.-L.Zhang
- Journal Title
  
  J.Comput.Appl.Math. (掲載予定)
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] BiCR variants of hybrid BiCG methods for solving linear systems with nonsymmetric matrices
- Author(s)
  Kuniyoshi Abe, Gerard L.G.Sleijpen
- Journal Title
  
  J.of Computational and Applied Mathematics (in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21300017
[Journal Article] Gerard Sleijpen, BiCR Variants of Hybrid BiCG Methods for Solving Linear Systems with Nonsymmetric Matrices
- Author(s)
  Kuniyoshi Abe
- Journal Title
  
  Journal of Computational and Applied Mathematics (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Journal Article] Linear algebraic calculation of Green's function for large-scale electronic structure theory
- Author(s)
  R.Takayama, T.Hoshi, T.Sogabe, S.-L.Zhang, T.Fujiwara
- Journal Title
  
  Phys.Rev.B (掲載予定)
- Data Source
  KAKENHI-PROJECT-15360042
[Journal Article] An extended GS method for dense linear systems
- Author(s)
  Hiroshi Niki, Toshiyuki Kohno, Kuniyoshi Abe
- Journal Title
  
  Journal of Computational and Applied Mathematics (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] A Numerical Study of Parallel Variants of GPBiCG Method with Stabilization Strategy for Solving Linear Equations2021
- Author(s)
  Kuniyoshi ABE
- Organizer
  The 40th JSST Annual International Conference on Simulation Technology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K12008
[Presentation] On Convergence Speed of Parallel Variants of Hybrid Bi-CG Methods for Solving Linear Equations2019
- Author(s)
  Kuniyoshi Abe
- Organizer
  The 38th JSST Annual International Conference on Simulation Technology
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K12008
[Presentation] On MrR Method for Solving Linear Equations with Symmetric Matrices2017
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Organizer
  17th Asia Simulation Conference
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] Performance of Krylov subspace methods for symmetric matrices in hybrid parallelization2017
- Author(s)
  Kuniyoshi Abe
- Organizer
  Parallel, Distribute, and Network-Based Processing
- Place of Presentation
  St. Petersburg, Russia
- Year and Date
  2017-03-06
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] A Numerical Study for Complex Symmetric Linear Equations Arisen from a Mixed Electromagnetic Problem2017
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Organizer
  18th International Symposium on Applied Electromagnetics and Mechanics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] Application of Eisenstat-SSOR Preconditioner to Realistic Stress Analysis Problems by Parallel Cache-Cache Computing2017
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Organizer
  Parallel Computing Conference
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] 線形方程式を解くためのMr（ミスター）R 法について2016
- Author(s)
  阿部邦美, 藤野清次
- Organizer
  2015 年度火の国情報シンポジウム（情報処理学会）
- Place of Presentation
  宮崎大学
- Year and Date
  2016-03-02
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] On Mister R Method for Solving Linear Equations with Symmetric Matrices2016
- Author(s)
  Kuniyoshi Abe
- Organizer
  Computational Methods in Applied Mathematics
- Place of Presentation
  Jyvaskyla, Finland
- Year and Date
  2016-07-31
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] Variant Implementations of SCBiCG Method for Linear Equations with Complex Symmetric Matrices2015
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Organizer
  17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing
- Place of Presentation
  West University of Timisoara
- Year and Date
  2015-09-21
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] Variant Implementations of SCBiCG Method for Linear Equations with Complex Symmetric Matrices2015
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Organizer
  Workshop on Information Technology, Applied Mathematics and Education
- Place of Presentation
  津和野町コミュニティセンター
- Year and Date
  2015-08-18
- Invited
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] Variant Implementations of SCBiCG Method for Linear Equations with Complex Symmetric Matrices2015
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Organizer
  The 8th International Conference on Science and Mathematics Education in Developing Countries
- Place of Presentation
  Yangon University
- Year and Date
  2015-12-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] IDR(s) for linear equations with multiple right-hand sides2012
- Author(s)
  Kuniyoshi Abe, Gerard Sleijpen
- Organizer
  Numerical Linear Algebra - Algorithms, Applications, and Training
- Place of Presentation
  Delft, The Netherlands
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] Numerical methods for generalized shifted linear systems with complex symmetric matrices2012
- Author(s)
  T. Sogabe, T. Hoshi, S.-L. Zhang and T. Fujiwara
- Organizer
  4th China-Japan-Korea Conference on Numerical Mathematics
- Place of Presentation
  Piazza Omi, Otsu City, Shiga Prefecture, Japan
- Year and Date
  2012-08-25
- Invited
- Data Source
  KAKENHI-PLANNED-22104004
[Presentation] Look-Back GMRES(m) for solving large nonsymmetric linear system2012
- Author(s)
  S.-L. Zhang, A. Imakura and T. Sogabe
- Organizer
  Numerical Linear Algebra ---Algorithm, Applications, and Training, an NOW-JSPS joint seminars
- Place of Presentation
  Delft University of Technology, Delft, Netherlands
- Year and Date
  2012-04-10
- Invited
- Data Source
  KAKENHI-PLANNED-22104004
[Presentation] A BiCGStab2 variant of IDR(s) for solving linear equations2012
- Author(s)
  K. Abe
- Organizer
  International Conference of Numerical Analysis and Applied Math.
- Place of Presentation
  Kos, Greece
- Year and Date
  2012-09-20
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] IDR(s) for linear equations with multiple right hand sides2012
- Author(s)
  K. Abe
- Organizer
  International Conference of Applied and Computational Math.
- Place of Presentation
  Ankara, Turkey
- Year and Date
  2012-10-05
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] Krylov subspace methods for solving generalized shifted linear systems2012
- Author(s)
  T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Organizer
  International Workshop on Computational Science and Numerical Analysis
- Place of Presentation
  The University of Electro-Communications (Japan)(招待講演)
- Data Source
  KAKENHI-PLANNED-22104004
[Presentation] An intermediate eigenvalue problem in electronic structure calculation2012
- Author(s)
  S.-L. Zhang, D. Lee, T. Miyata and T. Sogabe
- Organizer
  The 4th Workshop on Numerical Algebra and High Performance Computation
- Place of Presentation
  University of Macau, Macau, Chaina
- Year and Date
  2012-12-08
- Invited
- Data Source
  KAKENHI-PLANNED-22104004
[Presentation] Solving linear equations with a stabilized GPBiCG method2011
- Author(s)
  K.Abe, G.Sleijpen
- Organizer
  第14回環瀬戸内応用数理研究部会シンポジウム
- Place of Presentation
  岡山市, 岡山理科大学
- Year and Date
  2011-01-22
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] Solving linear equations with a stabilized GPBiCG method2011
- Author(s)
  K. Abe
- Organizer
  第14回環瀬戸内応用数理研究部会シンポジウム
- Place of Presentation
  岡山理科大学
- Year and Date
  2011-01-22
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] Solving linear equations with a stabilized GPBiCG method2011
- Author(s)
  Abe, K
- Organizer
  湖南商学院情報学科(招待講演)
- Place of Presentation
  China
- Year and Date
  2011-04-14
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] Alternative implementations of the hybrid Bi-CG methods for linear equations2011
- Author(s)
  Kuniyoshi Abe
- Organizer
  10^<th> IMACS International Conference on Iterative Methods in Scientific Computing
- Place of Presentation
  Marrakech, Morocco
- Year and Date
  2011-05-20
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] GMRES (m) method with Look-Back restart for solving nonsymmetric linear systems2011
- Author(s)
  S.-L.Zhang, A.Imakura, T.Sogabe
- Organizer
  The 2011 Workshop on Scientific Computing
- Place of Presentation
  Macau (China)(招待講演)
- Data Source
  KAKENHI-PLANNED-22104004
[Presentation] An Arnoldi-like Approach for Generalized Eigenvalue Problem2011
- Author(s)
  S.-L.Zhang, T.Miyata, T.Sogabe, T.Yamashita
- Organizer
  The 8th International Conference on NTmerical Optimization and Numerical Linear Algebra
- Place of Presentation
  Xiamen (China)(招待講演)
- Data Source
  KAKENHI-PLANNED-22104004
[Presentation] GPBiCG法の改良2011
- Author(s)
  阿部邦美
- Organizer
  大規模計算コロキウム
- Place of Presentation
  岐阜市,岐阜じゅうろくプラザ
- Year and Date
  2011-09-09
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] Can hybrid BiCG methods learn from IDR?2011
- Author(s)
  Kuniyoshi Abe
- Organizer
  International Workshop on application of Iterative Methods to Engineering and its Mathematical Elements
- Place of Presentation
  Kyoto, Doshisha University
- Year and Date
  2011-10-24
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] GPBiCG法の改良2011
- Author(s)
  阿部邦美
- Organizer
  大規模計算コロキウム
- Place of Presentation
  岐阜市,岐阜じゅうろくプラザ
- Year and Date
  2011-09-09
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] Can hybrid BiCG methods learn from IDR?2011
- Author(s)
  Abe, K
- Organizer
  International Workshop on application of Iterative Methods to Engineering and its Mathematical Elements
- Place of Presentation
  Doshisha Univ
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] Solving linear equations with a stabilized GPBiCG method2011
- Author(s)
  K.Abe, G.Sleijpen
- Organizer
  第14回環瀬戸内応用数理研究部会シンポジウム
- Place of Presentation
  岡山市,岡山理科大学
- Year and Date
  2011-01-22
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] Solving linear equations with a stabilized GPBiCG method2011
- Author(s)
  Kuniyoshi Abe
- Organizer
  湖南商学院情報学科
- Place of Presentation
  中国湖南省湖南商学院(招待講演)
- Year and Date
  2011-04-14
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] GPBiCG 法の改良2011
- Author(s)
  阿部邦美
- Organizer
  大規模計算コロキウム
- Place of Presentation
  岐阜じゅうろくプラザ
- Year and Date
  2011-09-09
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] Alternative implementations of the hybrid Bi-CG methods for linear equations2011
- Author(s)
  Abe, K
- Organizer
  10^<th> IMACS Int' l Conference on Iterative Methods in Scientific Computing
- Place of Presentation
  Morocco
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] Alternative implementations of the hybrid Bi-CG methods for linear equations2011
- Author(s)
  Kuniyoshi Abe
- Organizer
  10^<th> IMACS International Conference on Iterative Methods in Scientific Computing
- Place of Presentation
  Marrakech, Morocco
- Year and Date
  2011-05-20
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] Alternative implementations of the hybrid Bi-CG methods for linear equations2011
- Author(s)
  K. Abe
- Organizer
  10thIMACS International Conference on Iterative Methods in Scientific Computing
- Place of Presentation
  Marrakech, Morocco
- Year and Date
  2011-05-20
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] Hybrid Bi-CG methods with a Bi-CG formulation closer to IDR2011
- Author(s)
  阿部邦美
- Organizer
  第4回大規模計算ワークショップ
- Place of Presentation
  和光市,理化学研究所
- Year and Date
  2011-09-21
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] Solving linear equations with a stabilized GPBiCG method2011
- Author(s)
  K. Abe
- Organizer
  湖南商学院情報学科
- Place of Presentation
  中国湖南省湖南商学院
- Year and Date
  2011-04-14
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] A stabilized GPBiCG method with a strategy to remedy accuracy of Bi-CG coefficients for solving linear systems2010
- Author(s)
  K.Abe, G.Sleijpen
- Organizer
  Conference In Numerical Analysis 2010
- Place of Presentation
  Chania, Creta, Greece
- Year and Date
  2010-09-18
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] A stabilized GPBiCG method with a strategy to remedy accuracy of Bi-CG coefficients for solving linear systems2010
- Author(s)
  K.Abe, G.Sleijpen
- Organizer
  Conference In Numerical Analysis 2010
- Place of Presentation
  Chania, Creta, Greece
- Year and Date
  2010-09-18
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] A stabilized GPBiCG method with a strategy to remedy accuracy of Bi-CG coefficients for solving linear systems2010
- Author(s)
  K. Abe
- Organizer
  Conference In Numerical Analysis 2010
- Place of Presentation
  Creta, Greece
- Year and Date
  2010-09-18
- Data Source
  KAKENHI-PROJECT-22560067
[Presentation] A proposal of GS-based preconditioning applicable to restarted GMRES(k) method2010
- Author(s)
  S. Fujino, Y. Kusakabe and Y. Onoue
- Organizer
  Proc. of NumAn2010 Conference in Numerical Analysis
- Place of Presentation
  Chania Crete, Greece
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] A stabilized GPBiCG method with a strategy to remedy accuracy of Bi-CG coefficients for solving linear systems2010
- Author(s)
  Abe, K
- Organizer
  Conference In Numerical Analysis 2010
- Place of Presentation
  Greece
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] GMRES(m) Method with Look-Back-type Restart for Solving Nonsymmetric Linear Systems2010
- Author(s)
  S.-L.Zhang, A.Imakura, T.Sogabe
- Organizer
  The 7th International Conference on Scientific Computing and Application
- Place of Presentation
  Dalian P.R., China.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A Look-Back Technique of Restart for the GMRES(m) Method2010
- Author(s)
  A.Imakura, T.Sogabe, S.-L.Zhang
- Organizer
  Applied Linear Algebra - in honor of Hans Schneider, University of Novi Sad
- Place of Presentation
  Novi Sad, Serbia.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A proposal of GS-based preconditioning applicable to restarted GMRES(k) method2010
- Author(s)
  S.Fujino, Y.Kusakabe, Y.Onoue
- Organizer
  Proc.of NumAn2011
- Place of Presentation
  Crete Greece
- Year and Date
  2010-09-15
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] A Projection Approach Based on the Residue Theorem for Eigenvalues within a Multiply Connected Domain2010
- Author(s)
  S.-L.Zhang, T.Miyata, L.Du, T.Sogabe, Y.Yamamoto
- Organizer
  The Third China-Japan-Korea Joint Conference on Numerical Mathematics
- Place of Presentation
  Gangneung, Korea.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] Hybrid BiCG methods vs. BiCR variants of hybrid BiCG methods2010
- Author(s)
  Abe, K
- Organizer
  2^<nd> Int l Kyoto-Forum on Krylov Subspace Methods
- Place of Presentation
  Kyoto Univ., Mar
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] GMRES(m) method with Look-Back-type restart for solving nonsymmetric linear systems2010
- Author(s)
  S.-L.Zhang, A.Imakura, T.Sogabe
- Organizer
  7th International Conference on Scientific Computing and Applications
- Place of Presentation
  Dalian, China
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A Projection Approach Based on the Residue Theorem for Eigenvalues within a Multiply Connected Domain2010
- Author(s)
  S.-L.Zhang, T.Miyata, L.Du, T.Sogabe, Y.Yamamoto
- Organizer
  The Third China-Japan-Korea Joint Conference on Numerical Mathematics
- Place of Presentation
  Gangneung, Korea
- Data Source
  KAKENHI-PLANNED-22104004
[Presentation] A Block IDR(s) method for linear systems with multiple right-hand sides2010
- Author(s)
  L.Du, T.Sogabe, Y.Yamamoto, B.Yu, S.-L.Zhang
- Organizer
  11th Copper Mountain Conference on Iterative methods, Copper Mountain
- Place of Presentation
  Colorado, USA.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A New Variant of the GMRES(m)Method for Solving Nonsymmetric Linear Systems2009
- Author(s)
  S.-L.Zhang, A.Imakura, T.Sogabe
- Organizer
  The 2nd International Conference in Mathematical Modelling and Computation and The 5th East Asia SIAM Conference
- Place of Presentation
  Universiti Brunei Darussalam Brunei
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A Numerical Method Based on the Residue Theorem for Computing Eigenvalues in Multiply Connected Region2009
- Author(s)
  T.Miyata, L.Du, T.Sogabe, Y.Yamamoto, S.-L.Zhang
- Organizer
  SIAM Conference on Applied Linear Algebra
- Place of Presentation
  Monterey USA.
- Year and Date
  2009-10-28
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] BiCGStab2法, GPBi-CG法のIDR(s)法への変形2009
- Author(s)
  阿部邦美, Gerard L.G.Sleijpen
- Organizer
  日本応用数理学会研究部会連合発表会
- Place of Presentation
  京都大学理学部(京都市)
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] A variant algorithm of GPBiCG for solving linear systems2009
- Author(s)
  阿部邦美, Gerard L.G.Sleijpen
- Organizer
  第8回日本応用数理学会「行列・固有値問題の解法とその応用」研究部会
- Place of Presentation
  国立情報学研究所(東京)
- Year and Date
  2009-11-26
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] An efficient variant of the GMRES(m) method based on error equations2009
- Author(s)
  A.Imakura, T.Sogabe, S.-L.Zhang
- Organizer
  Numerical Analysis and Scientific Computing with Applications (NASCA2009)
- Place of Presentation
  Agadir Morocco.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] Large-scale electronic structure calculations and nanomaterial process2009
- Author(s)
  T.Hoshi, S.Yamamoto, T.Sogabe, S.-L.Zhang, S.Nishino, H.Teng, T.Fujiwara
- Organizer
  International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-
- Place of Presentation
  Tokyo
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] BiCGStab2 and GPBiCG variants of the IDR(s)method2009
- Author(s)
  Kuniyoshi Abe, Gerard L.G.Sleijpen
- Organizer
  SIAM Conference on Applied Linear Algebra(minisymposium)
- Place of Presentation
  Monterey, USA
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] A fast iterative method for solving generalized shifted linear systems with complex symmetric matrices2009
- Author(s)
  T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Organizer
  International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-
- Place of Presentation
  Tokyo
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A New Variant of the GMRES(m) Method for Solving Nonsymmetric Linear Systems2009
- Author(s)
  S.-L.Zhang, A.Imakura, T.Sogabe
- Organizer
  The 2nd International Conference in Mathematical Modelling and Computation and The 5th East Asia SIAM Conference
- Place of Presentation
  Universiti Brunei Darussalam, Brunei.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] An approach to fast solution of generalized shifted linear systems with complex symmetric matrices2009
- Author(s)
  T.ogabe, S.-L.Zhang
- Organizer
  Numerical Analysis and Scientific Computing with Applications (NASCA2009)
- Place of Presentation
  Agadir Morocco
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A Variational Algorithm of the GPBi-CG Method for Solving Linear Systems2009
- Author(s)
  Kuniyoshi Abe, Gerard L.G.Sleijpen
- Organizer
  14th International Congress on Computational and Applied Mathematics
- Place of Presentation
  Antalya, Turkey
- Data Source
  KAKENHI-PROJECT-21300017
[Presentation] A fast solver for generalized shifted linear systems with complex symmetric matrices2009
- Author(s)
  T.Sogabe, S.-L.Zhang
- Organizer
  The 7th International Conference on Numerical Optimization and Numerical Linear Algebra
- Place of Presentation
  Lijiang, Yunnan, China.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] Computation of eigenvalues in multiply connected region2009
- Author(s)
  T.Miyata, L.Du, T.Sogabe, Y.Yamamoto, S.-L.Zhang
- Organizer
  The 7th International Conference on Numerical Optimization and Numerical Linear Algebra
- Place of Presentation
  Lijiang, Yunnan, China.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A look-back strategy for the GMRES(m) method2009
- Author(s)
  A.Imakura, T.Sogabe, S.-L.Zhang
- Organizer
  The 7th International Conference on Numerical Optimization and Numerical Linear Algebra
- Place of Presentation
  Lijiang, Yunnan, China.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A Dynamic Programming Approach to Performance Optimization for the QR Decomposition2009
- Author(s)
  T.Fukaya, T.Sogabe, S.-L.Zhang
- Organizer
  International Symposium of Electronic Structure Calculations -Theory, Correlated and Large Scale Systems and Numerical Methods-
- Place of Presentation
  Tokyo
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] 対角項に0を持つ線形方程式に対するSOR法を用いる可変的前処理付きGMRES法2008
- Author(s)
  阿部邦美 (共著:長原里華,石渡恵美子,藤野清次)
- Organizer
  クリロフ別府フォーラム
- Place of Presentation
  ビーコンプラザ(大分・別府)
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] CR Variants of Hybrid Bi-CG Methods for Solving Linear Systems with Nonsymmetric Matrices2008
- Author(s)
  Kuniyoshi Abe (with Seiji Fujino)
- Organizer
  13^<th>International Congress on Computational and Applied Mathematics
- Place of Presentation
  Ghent Belgium
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] Block Algorithms of Implicit Wavelet Sparse Approximate Inverse Preconditioner for Nonsymmetric Linear Systems2008
- Author(s)
  A.Imakura, T.Sogabe, S.-L.Zhang
- Organizer
  Nagoya-COE and Beijing-LHD Joint Workshopon "Frontier of Computational Science"
- Place of Presentation
  Nagoya University
- Year and Date
  2008-05-24
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] Numerical Algorithms for Solving Shifted Complex Symmetric Linear Systems2008
- Author(s)
  S.-L.Zhang, T.Sogabe
- Organizer
  The NIMS 2008 Conference & The 4th East Asia SIAM Conference
- Place of Presentation
  Daejeon, Korea.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] CR Variants of Hybrid Bi-CG Methods for Solving Linear Systemswith Nonsymmetric Matrices2008
- Author(s)
  Kuniyoshi Abe, Seiji Fujino
- Organizer
  13^<th>International Congress on Computational and Applied Mathematics
- Place of Presentation
  Ghent, Belgium
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] Implicit wavelet sparse approximate inverse preconditioner using blocked finger pattern for nonsymmetric linear systems(Winner among young researchers)2008
- Author(s)
  A.Tmakura, T.Sogabe, S.-L.Zhang
- Organizer
  ALA 2008 Applied Linear Algebra-in honor of Tvo Marek
- Place of Presentation
  Novi Sad Serbia.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] Numerical Algorithms for Solving Shifted Complex Symmetric Linear Systems2008
- Author(s)
  S.-L.Zhang, T.Sogabe
- Organizer
  The NIMS 2008 Conference & The 4th East Asia SIAM Conference
- Place of Presentation
  Daejeon, Korea
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] Krylov eubspace methods for solving complex symmetric shifted linear systems2007
- Author(s)
  T. Sogabe, T. Hoshi, S.-L. Zhang, and T. Fujiwara
- Organizer
  The 6th International Congress on Industrial and Applied Mathematics
- Place of Presentation
  Zurich, Switzerland
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] A variant of SOR method for singular linear systems and its application to a variable preconditioned GCR method2007
- Author(s)
  Kuniyoshi Abe(with Daisuke Aoto, Emiko Ishiwata)
- Organizer
  5th International Conference of Numerical Analysis and Applied Mathematics
- Place of Presentation
  Corfu(Greece)
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] A variant of SOR method for singular linear systems and its application to a variable preconditioned GCR method2007
- Author(s)
  Kuniyoshi Abe (with Daisuke Aoto, Emiko Ishiwata)
- Organizer
  5th International Conference of Numerical Analysis and Applied Mathematics
- Place of Presentation
  Corfu (Greece)
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] On a weighted quasi-residual minimization strategy of QMR for solving complex symmetric shifted linear systems2007
- Author(s)
  T.Sogabe, S.-L.Zhang
- Organizer
  Harrachov2007-Computational Methods with Applications
- Place of Presentation
  Harrachov, Czech Republic.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] Krylov subspace methods for solving complex symmetric shifted linear systems2007
- Author(s)
  T.Sogabe, T.Hoshi, S.-L.Zhang, T.Fujiwara
- Organizer
  The 6th International Congress on Industrial and Applied Mathematics
- Place of Presentation
  Zurich, Switzerland.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] Sparse approximate inverse preconditioners for complex symmetric systems of linear equations2007
- Author(s)
  T.Sogabe, S.-L.Zhang
- Organizer
  2007 International Conference on Preconditioning Techniques for Large Sparse Matrix Problems in Scientific and Industrial Applications (Precond 2007)
- Place of Presentation
  Toulouse, France.
- Data Source
  KAKENHI-PROJECT-19560065
[Presentation] 非対称行列用共役残差法に基づく積型反復解法2007
- Author(s)
  阿部邦美(共著:曽我部知広,藤野清次,張紹良)
- Organizer
  2007年ハイパフォーマンスコンピューティングと計算科学シンポジウム
- Place of Presentation
  つくば国際会議場
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] 対称正定値行列を係数にもつ線形方程式のための自乗共役残差法2006
- Author(s)
  阿部邦美(共著:藤野清次)
- Organizer
  第19回計算力学講演会
- Place of Presentation
  名古屋大学
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] A variant of the Orthomin(m) method for linear systems2006
- Author(s)
  Kuniyoshi Abe (with Shao-Liang Zhang)
- Organizer
  4th International Conference of Numerical Analysis and Applied Mathematics
- Place of Presentation
  Creta (Greece)
- Data Source
  KAKENHI-PROJECT-18560064
[Presentation] Hybrid BiCR method with a stabilization strategy for soling linear equations
- Author(s)
  Kuniyoshi Abe
- Organizer
  12th International Conference of Numerical Analysis and Applied Math.
- Place of Presentation
  Rhodos, Greece
- Year and Date
  2014-09-22 – 2014-09-28
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] Variants of SCBiCG method for solving linear equations with symmetric complex matrices
- Author(s)
  Kuniyoshi Abe
- Organizer
  International Workshop on Information Technology, Applied Mathematics and Science 2015
- Place of Presentation
  京都市生涯学習総合センター（京都市）
- Year and Date
  2015-03-26 – 2015-03-28
- Data Source
  KAKENHI-PROJECT-26390136
[Presentation] バニラ戦略付きハイブリッドBiCR法
- Author(s)
  Kuniyoshi Abe
- Organizer
  日本応用数理学会環瀬戸内応用数理研究部会第18回シンポジウム
- Place of Presentation
  加計学園国際学術交流センター(倉敷市)
- Year and Date
  2014-12-05 – 2014-12-07
- Data Source
  KAKENHI-PROJECT-26390136

1. SHAO-LIANG Zhang (20252273)

# of Collaborated Projects: 5 results

# of Collaborated Products: 86 results
2. FUJINO Seiji (40264965)

# of Collaborated Projects: 3 results

# of Collaborated Products: 6 results
3. KENGO Nakajima (20376528)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. YAMAMOTO Yusaku (20362288)

# of Collaborated Projects: 2 results

# of Collaborated Products: 15 results
5. SOGABE Tomohiro (30420368)

# of Collaborated Projects: 2 results

# of Collaborated Products: 57 results
6. ISHIWATA Emiko (30287958)

# of Collaborated Projects: 2 results

# of Collaborated Products: 9 results
7. IKUNO Soichiro (70318864)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
8. YUKIO Uchida (40107991)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. HIMENO Ryutaro (60342838)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. ONO Kenji (90334333)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
11. ITOH Shoji (70333482)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. OKAMOTO Yoshifumi (40415112)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. IMAMURA Toshiyuki (60361838)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KATAGIRI Takahiro (40345434)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. ITO Rika (70442928)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. NAKATA Maho (50469912)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. IMAHORI Shinji (90396789)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. MIYATA Takahumi (90581645)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
19. SUGIHARA Masaaki (80154483)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. OYANAGI Yoshio (60011673)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. HAYAMI Ken (20251358)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. HASEGAWA Hidehiko (20164824)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. NIKI Hiroshi (30068879)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. AWAMI Hideon (70098581)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. HAMAYA Yoshihiro (40228549)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. CHEN Xiaojun (70304251)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. KOHNO Toshiyuki (90309534)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 岡本直孝 (00068909)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 榊原道夫 (70215614)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. SLEIJPEN Gerard L,G.

# of Collaborated Projects: 1 results

# of Collaborated Products: 10 results
31. Gerard Sleijpen

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. ITOH Taku

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
33. 星健夫

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results

Abe Kuniyoshi 阿部 邦美

阿部 邦美 アベ クニヨシ

ABE Kuniyoshi 阿部 邦美

KUNIYOSHI Abe 阿部 邦美

Research Projects

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Co-Researchers

New solvers and strategies based on mathematical analyses to enhance parallel performance on massive computersPrincipal Investigator

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Mathematical analysis of rounding errors which arise from new solvers for solving linear equations and its future developmentsPrincipal Investigator

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Fast solution for ultra-large scale systems as a basis of computational materials science

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Developments of new linear solvers based on the induced dimension reduction theoremPrincipal Investigator

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Development of the Framework to Support Large-scale Numerical Simulation on Multi-platform

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A study on fast solvers for large linear systems in the field of scientific computations

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A new solver derived from a minimal residual approach for solving linear systems and its applicationPrincipal Investigator

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大規模線形方程式ソルバーを高速化する前処理手法の開発とその応用Principal Investigator

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Synthetical development of fast numerical methods for solving large-scale linear systems which arise g from the field of computational science and engineerin

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The synthetic research for the basic iterative method for the non-diagonal dominant matrix.

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[Journal Article] On Convergence Speed of Parallel Variants of GPBiCG Method for Solving Linear Equations2019

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[Journal Article] Converting BiCR Method for Linear Equations with Complex Symmetric Matrices2018

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[Journal Article] Application of Eisenstat-SSOR Preconditioner to Realistic Stress Analysis Problems by Parallel Cache-Cache Computing2018

Author(s)

Journal Title

Abe Kuniyoshi 阿部邦美

阿部邦美アベクニヨシ

ABE Kuniyoshi 阿部邦美

KUNIYOSHI Abe 阿部邦美