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Development of error resilience technology for complex moment-based parallel eigensolvers

Research Project

Project/Area Number 17K12690
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field High performance computing
Research InstitutionUniversity of Tsukuba

Principal Investigator

Imakura Akira  筑波大学, システム情報系, 准教授 (60610045)

Project Period (FY) 2017-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2021)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords数値解析 / 高性能計算 / 耐障害技術
Outline of Final Research Achievements

In this research project, we focused on the complex moment-based eigensolvers, which are massively parallel eigenvalue analysis methods originated in Japan and have been actively studied in recent years. We developed mathematical fault-tolerance techniques through theoretical error analysis of the method, aiming to realize fault-tolerance at the algorithm level. Theoretical and experimental evaluations have shown that the developed technology can obtain eigenpairs with high speed and accuracy even in the presence of failures. In addition, we have also developed technologies to improve usability for practical use. The results of this research project were presented at domestic and international conferences and submitted to international journals.

Academic Significance and Societal Importance of the Research Achievements

近年のスーパーコンピュータの大規模・高性能化に伴い、システムの故障率が上昇しており、特に次世代スーパーコンピュータでの長時間シミュレーションの困難さが懸念されている。このため、システムレベルでの対策とともに、システム障害によらず正しい計算結果を与える「アルゴリズムレベルでの耐障害性」の実現が近年重要視されている。各種のシミュレーションで基盤となる固有値解析において、アルゴリズムレベルでの耐障害性を実現する本研究課題の成果は、次世代スーパーコンピュータ上での長時間シミュレーションの実現に寄与し、幅広い応用分野において、シミュレーションの大規模化・高精度化につながることが期待される。

Report

(6 results)
  • 2021 Annual Research Report   Final Research Report ( PDF )
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (83 results)

All 2022 2021 2020 2019 2018 2017 Other

All Journal Article (24 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 24 results,  Open Access: 8 results) Presentation (54 results) (of which Int'l Joint Research: 29 results) Book (1 results) Remarks (4 results)

  • [Journal Article] Sequential reinforcement active feature learning for gene signature identification in renal cell carcinoma2022

    • Author(s)
      Meng Huang, Xiucai Ye, Akira Imakura, Tetsuya Sakurai
    • Journal Title

      Journal of Biomedical Informatics

      Volume: 128 Pages: 104049-104049

    • DOI

      10.1016/j.jbi.2022.104049

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Interpretable collaborative data analysis on distributed data2021

    • Author(s)
      Akira Imakura, Hiroaki Inaba, Yukihiko Okada, Tetsuya Sakurai,
    • Journal Title

      Expert Systems with Applications

      Volume: 177 Pages: 114891-114891

    • DOI

      10.1016/j.eswa.2021.114891

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] LSEC: Large-scale spectral ensemble clustering2021

    • Author(s)
      Hongmin Li, Xiucai Ye, Akira Imakura, Tetsuya Sakurai
    • Journal Title

      Intelligent Data Analysis

      Volume: -

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Accelerating the Backpropagation algorithm by Using the NMF-based method on Deep Neural Networks2021

    • Author(s)
      Suhyeon Baek, Akira Imakura, Tetsuya Sakurai, Ichiro Kataoka
    • Journal Title

      In: Uehara H., Yamaguchi T., Bai Q. (eds) Knowledge Management and Acquisition for Intelligent Systems. PKAW 2021. Lecture Notes in Computer Science

      Volume: 12280 Pages: 1-3

    • DOI

      10.1007/978-3-030-69886-7_1

    • ISBN
      9783030698850, 9783030698867
    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Efficient Implementation of a Dimensionality Reduction Method Using a Complex Moment-Based Subspace2021

    • Author(s)
      Takahiro Yano, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai
    • Journal Title

      In: Proceedings of HPC Asia 2021: The International Conference on High Performance Computing in Asia-Pacific Region

      Volume: 1 Pages: 83-89

    • DOI

      10.1145/3432261.3432267

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] An improvement of multigrid methods using multiple grids on each layer for parallel computing2021

    • Author(s)
      Akira Imakura
    • Journal Title

      Journal of Mathematical Research with Applications

      Volume: 41 Pages: 87-98

    • Related Report
      2020 Research-status Report
    • Peer Reviewed
  • [Journal Article] Efficient variants of the CMRH method for solving a sequence of multi-shifted non-Hermitian linear systems simultaneously2020

    • Author(s)
      Xian-Ming Gu, Ting-Zhu Huang, Bruno Carpentieri, Akira Imakura, Ke Zhang, Lei Du
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: 375 Pages: 112788-112788

    • DOI

      10.1016/j.cam.2020.112788

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] ESSEX: Equipping Sparse Solvers For Exascale,2020

    • Author(s)
      Christie L. Alappat, Andreas Alvermann, Achim Basermann, Holger Fehske, Yasunori Futamura, Martin Galgon, Georg Hager, Sarah Huber, Akira Imakura, Masatoshi Kawai, Moritz Kreutzer, Bruno Lang, Kengo Nakajima, Melven Rohrig-Zollner, Tetsuya Sakurai, Faisal Shahzad, Jonas Thies, Gerhard Wellein,
    • Journal Title

      In: Bungartz HJ., Reiz S., Uekermann B., Neumann P., Nagel W. (eds), Software for Exascale Computing - SPPEXA 2016-2019, Lecture Notes in Computational Science and Engineering

      Volume: 136 Pages: 143-187

    • DOI

      10.1007/978-3-030-47956-5_7

    • ISBN
      9783030479558, 9783030479565
    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems2020

    • Author(s)
      Akira Imakura, Keiichi Morikuni, Akitoshi Takayasu
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: 369 Pages: 112543-112543

    • DOI

      10.1016/j.cam.2019.112543

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Efficient implementations of the modified Gram?Schmidt orthogonalization with a non-standard inner product2019

    • Author(s)
      Imakura Akira、Yamamoto Yusaku
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 36 Issue: 2 Pages: 619-641

    • DOI

      10.1007/s13160-019-00356-4

    • NAID

      210000183505

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Minimal residual-like condition with collinearity for shifted Krylov subspace methods2019

    • Author(s)
      Akira Imakura
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 36 Issue: 2 Pages: 643-661

    • DOI

      10.1007/s13160-019-00357-3

    • NAID

      210000175982

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Benefits from using mixed precision computations in the ELPA-AEO and ESSEX-II eigensolver projects2019

    • Author(s)
      Andreas Alvermann, Achim Basermann, Hans-Joachim Bungartz, et. al.
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 36 Issue: 2 Pages: 699-717

    • DOI

      10.1007/s13160-019-00360-8

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Complex Moment-Based Supervised Eigenmap for Dimensionality Reduction2019

    • Author(s)
      Akira Imakura, Momo Matsuda, Xiucai Ye, Tetsuya Sakurai
    • Journal Title

      Proceedings of the AAAI Conference on Artificial Intelligence

      Volume: 33 Issue: 01 Pages: 3910-3918

    • DOI

      10.1609/aaai.v33i01.33013910

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Polynomial Preconditioner for Linear Systems with Multiple Right-Hand Sides and Multiple Shifts2019

    • Author(s)
      関川 悠太, 二村 保徳, 今倉 暁, 櫻井 鉄也
    • Journal Title

      Transactions of the Japan Society for Industrial and Applied Mathematics

      Volume: 29 Issue: 1 Pages: 141-164

    • DOI

      10.11540/jsiamt.29.1_141

    • NAID

      130007618976

    • ISSN
      2424-0982
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Simultaneous Band Reduction of Two Symmetric Matrices2019

    • Author(s)
      Lei Du, Akira Imakura, Tetsuya Sakurai
    • Journal Title

      Computers and Mathematics with Applications

      Volume: 77 Issue: 8 Pages: 2207-2220

    • DOI

      10.1016/j.camwa.2018.12.003

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Block SS--CAA: A complex moment-based parallel nonlinear eigensolver using the block communication-avoiding Arnoldi procedure2018

    • Author(s)
      Akira Imakura, Tetsuya Sakurai
    • Journal Title

      Parallel Computing

      Volume: 74 Pages: 34-48

    • DOI

      10.1016/j.parco.2017.11.007

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Look-Back-Type Restart for the Restarted Krylov Subspace Methods for Solving Non-Hermitian Linear Systems2018

    • Author(s)
      Akira Imakura, Tomohiro Sogabe, Shao-Liang Zhang
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 35 Issue: 2 Pages: 835-859

    • DOI

      10.1007/s13160-018-0308-x

    • NAID

      210000180023

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Performance evaluation of the Sakurai-Sugiura method with a block Krylov subspace linear solver for large dense Hermitian-definite generalized eigenvalue problems2018

    • Author(s)
      Takahiro Yano, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai
    • Journal Title

      JSIAM Letters

      Volume: 10 Issue: 0 Pages: 77-80

    • DOI

      10.14495/jsiaml.10.77

    • NAID

      130007550465

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Contour integral method for obtaining the self-energy matrices of electrodes in electron transport calculations2018

    • Author(s)
      Shigeru Iwase, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai, Shigeru Tsukamoto, Tomoya Ono
    • Journal Title

      PHYSICAL REVIEW B

      Volume: 97 Issue: 19 Pages: 195449-195449

    • DOI

      10.1103/physrevb.97.195449

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] A real-valued block conjugate gradient type method for solving complex symmetric linear systems with multiple right-hand sides2017

    • Author(s)
      Yasunori Futamura, Takahiro Yano, Akira Imakura, Tetsuya Sakurai
    • Journal Title

      Applications of Mathematics

      Volume: 62 Issue: 4 Pages: 333-355

    • DOI

      10.21136/am.2017.0023-17

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Improving backward stability of Sakurai-Sugiura method with balancing technique in polynomial eigenvalue problem2017

    • Author(s)
      Hongjia Chen, Akira Imakura, Tetsuya Sakurai
    • Journal Title

      Applications of Mathematics

      Volume: 62 Issue: 4 Pages: 357-375

    • DOI

      10.21136/am.2017.0016-17

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Block Krylov-type complex moment-based eigensolvers for solving generalized eigenvalue problems2017

    • Author(s)
      Akira Imakura, Tetsuya Sakurai
    • Journal Title

      Numerical Algorithms

      Volume: 75 Issue: 2 Pages: 413-433

    • DOI

      10.1007/s11075-016-0241-5

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Improving the numerical stability of the Sakurai-Sugiura method for quadratic eigenvalue problems2017

    • Author(s)
      Hongjia Chen, Yasuyuki Maeda, Akira Imakura, Tetsuya Sakurai, Francoise Tisseur
    • Journal Title

      JSIAM Letters

      Volume: 9 Issue: 0 Pages: 17-20

    • DOI

      10.14495/jsiaml.9.17

    • NAID

      130005475943

    • ISSN
      1883-0609, 1883-0617
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] An Error Resilience Strategy of a Complex Moment-Based Eigensolver2017

    • Author(s)
      Akira Imakura, Yasunori Futamura, Tetsuya Sakurai
    • Journal Title

      Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing. EPASA 2015. Lecture Notes in Computational Science and Engineering

      Volume: 117 Pages: 1-28

    • DOI

      10.1007/978-3-319-62426-6_1

    • ISBN
      9783319624242, 9783319624266
    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Presentation] Collaborative Novelty Detection for Distributed Data by a Probabilistic Method2021

    • Author(s)
      Akira Imakura, Xiucai Ye, Tetsuya Sakurai
    • Organizer
      The 13th Asian Conference on Machine Learning (ACML 2021)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Eigensolvers using complex moments for operators2021

    • Author(s)
      Akira Imakura, Keiichi Morikuni, Akitoshi Takayasu
    • Organizer
      Numerical Methods and Scientific Computing (NMSC21)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Complex Moment-Based Methods for Differential Eigenvalue Problems2021

    • Author(s)
      Akira Imakura, Keiichi Morikuni, Akitoshi Takayasu
    • Organizer
      SIAM Conference on Applied Linear Algebra (SIAM-LA21)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] On the Residual Gap of Block Lanczos-Type Methods and Its Remedy by Cross-Interactive Residual Smoothin2021

    • Author(s)
      Kensuke Aihara, Akira Imakura, Keiichi Morikuni
    • Organizer
      SIAM Conference on Applied Linear Algebra (SIAM-LA21)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 無限次元固有値問題に対する複素モーメント型解法2021

    • Author(s)
      今倉暁, 保國惠一, 高安亮紀
    • Organizer
      2021年並列/分散/協調処理に関するサマー・ワークショップ (SWoPP2021)
    • Related Report
      2021 Annual Research Report
  • [Presentation] 大規模数値シミュレーションの信頼性に対する各種リスクとその対策2021

    • Author(s)
      今倉暁
    • Organizer
      リスク工学研究会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Efficient Implementation of a Dimensionality Reduction Method Using a Complex Moment-Based Subspace2021

    • Author(s)
      Takahiro Yano, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai
    • Organizer
      HPC Asia 2021
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] Accelerating the Backpropagation algorithm by Using the NMF-based method on Deep Neural Networks2021

    • Author(s)
      Suhyeon Baek, Akira Imakura, Tetsuya Sakurai, Ichiro Kataoka
    • Organizer
      2020 Principle and Practice of Data and Knowledge Acquisition Workshop (PKAW2020)
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] 複数右辺ベクトルを持つ線形方程式に対するblock generalized CGS法2021

    • Author(s)
      今倉暁,相原研輔,保國惠一
    • Organizer
      日本応用数理学会 第17回 研究部会連合発表会
    • Related Report
      2020 Research-status Report
  • [Presentation] Sylvester方程式に対するglobal Krylov部分空間法のresidual gap評価とその改善2021

    • Author(s)
      相原研輔,今倉暁,保國惠一
    • Organizer
      日本応用数理学会 第17回 研究部会連合発表会
    • Related Report
      2020 Research-status Report
  • [Presentation] 漸化式に着目したblock Krylov部分空間法のresidual gap評価と残差スムージング2020

    • Author(s)
      相原研輔,今倉暁,保國惠一
    • Organizer
      日本応用数理学会「行列・固有値問題の解法とその応用」研究部会 第30回研究会
    • Related Report
      2020 Research-status Report
  • [Presentation] エルミート一般化固有値問題に対するBlock SS-Hankel法の固有ベクトル精度改善法2020

    • Author(s)
      来栖壮馬, 今倉暁, 櫻井鉄也
    • Organizer
      日本応用数理学会2020年度年会
    • Related Report
      2020 Research-status Report
  • [Presentation] カーネルリッジ回帰へのBLR行列近似の適用法検討2020

    • Author(s)
      伊田明弘, 今倉暁
    • Organizer
      日本応用数理学会2020年度年会
    • Related Report
      2020 Research-status Report
  • [Presentation] 複素モーメント型部分特異値分解法2020

    • Author(s)
      今倉暁, 櫻井鉄也
    • Organizer
      2020年並列/分散/協調処理に関する『福井』サマー・ワークショップ (SWoPP2020)
    • Related Report
      2020 Research-status Report
  • [Presentation] Efficient Implementations of the Modified Gram-Schmidt Orthogonalization in a Non-Standard Inner Product2019

    • Author(s)
      Yusaku Yamamoto, Akira Imakura
    • Organizer
      The 13th workshop in the series of the "Parallel Numerics" (ParNum 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] A complex moment-based dimensionality reduction for data analysis2019

    • Author(s)
      Akira Imakura, Momo Matsuda, Xiucai Ye, Tetsuya Sakurai
    • Organizer
      2019 Mini-Workshop on Computational Science (MWCS2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Distributed Collaborative Feature Selection Based on Intermediate Representation2019

    • Author(s)
      Xiucai Ye, Hongmin Li, Akira Imakura, Tetsuya Sakurai
    • Organizer
      The 28th International Joint Conference on Artificial Intelligence (IJCAI-19)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] A novel dimensionality reduction method using a complex momnet-based subspace2019

    • Author(s)
      Akira Imakura, Momo Matsuda, Xiucai Ye, Tetsuya Sakurai
    • Organizer
      International Congress on Industrial and Applied Mathematics (ICIAM2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Nonlinear semi-NMF based method for deep neural network computations and its improvements2019

    • Author(s)
      Akira Imakura, Tetsuya Sakurai
    • Organizer
      International Congress on Industrial and Applied Mathematics (ICIAM2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] A complex moment-based spectral method for detecting anomalous structures in large graphs2019

    • Author(s)
      Tetsuya Sakurai, Yasunori Funamura, Xiucai Ye, Akira Imakura
    • Organizer
      International Congress on Industrial and Applied Mathematics (ICIAM2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Nonlinear semi-NMF based method for deep neural network computations2019

    • Author(s)
      Akira Imakura
    • Organizer
      International Symposium on "Digital Science Now"
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Arnoldi型反復を用いたblock SS-CAA法の改良2019

    • Author(s)
      今倉暁, 櫻井鉄也
    • Organizer
      日本応用数理学会 第16回 研究部会連合発表会
    • Related Report
      2019 Research-status Report
  • [Presentation] Complex Moment-Based Supervised Eigenmap for Dimensionality Reduction2019

    • Author(s)
      Akira Imakura, Momo Matsuda, Xiucai Ye, Tetsuya Sakurai
    • Organizer
      情報系 WINTER FESTA Episode5
    • Related Report
      2019 Research-status Report
  • [Presentation] 行列分解を基盤としたディープニューラルネットワーク計算法2019

    • Author(s)
      今倉暁, 櫻井鉄也
    • Organizer
      RIMS研究集会「諸科学分野を結ぶ基礎学問としての数値解析学」
    • Related Report
      2019 Research-status Report
  • [Presentation] スケーラブルな固有値解析エンジンとそのAIへの展開2019

    • Author(s)
      櫻井鉄也, 今倉暁, 二村保徳, 叶秀彩
    • Organizer
      RIMS研究集会「諸科学分野を結ぶ基礎学問としての数値解析学」
    • Related Report
      2019 Research-status Report
  • [Presentation] NMF型DNN計算法とその応用2019

    • Author(s)
      今倉暁, 二村保徳, 櫻井鉄也
    • Organizer
      日本応用数理学会2019年度年会
    • Related Report
      2019 Research-status Report
  • [Presentation] 一般内積における直交化のためのMGS-HP法の誤差解析2019

    • Author(s)
      山本有作, 今倉暁
    • Organizer
      日本応用数理学会2019年度年会
    • Related Report
      2019 Research-status Report
  • [Presentation] A contour intergral-based stochastic estimator for eigenvalue counts of generalized eigenproblems2019

    • Author(s)
      Yasunori Futamura, Takahiro Yano, Akira Imakura, Tetsuya Sakurai
    • Organizer
      SIAM Conference on Computational Science and Engineering (CSE19)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Complex Moment-Based Supervised Eigenmap for Dimensionality Reduction2019

    • Author(s)
      Akira Imakura, Momo Matsuda, Xiucai Ye, Tetsuya Sakurai
    • Organizer
      The Thirty-Third AAAI Conference on Artificial Intelligence (AAAI-19)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 一般化エルミート固有値問題の部分固有値計算における周回積分に基づく精度保証法の改良2019

    • Author(s)
      今倉 暁, 保國 惠一, 高安 亮紀
    • Organizer
      日本応用数理学会 第15回 研究部会連合発表会
    • Related Report
      2018 Research-status Report
  • [Presentation] 複素モーメント型並列固有値解法の概要と最近の進展2019

    • Author(s)
      今倉 暁
    • Organizer
      岩手数理科学セミナー
    • Related Report
      2018 Research-status Report
  • [Presentation] A complex moment-based method and its improvement for computing partial singular value decomposition2018

    • Author(s)
      Akira Imakura, Tetsuya Sakurai
    • Organizer
      The 37th JSST Annual International Conference on Simulation Technology(JSST2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Verified computing for partial eigenvaluesusing a contour integral-type eigensolver2018

    • Author(s)
      Akitoshi Takayasu, Akira Imakura, Keiichi Morikuni
    • Organizer
      The 18th International Symposium on Scientific Computing, Computer Arithmetic, and Verified Numerical Computations (SCAN2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Symmetry-preserving of the Hankel-type Sakurai-Sugiura eigenvalue solver for large sparse Hermitian definite generalized eigenvalue problem2018

    • Author(s)
      Yasunori Futamura, Akira Imakura, Tetsuya Sakurai
    • Organizer
      10th International Workshop on Parallel Matrix Algorithms and Applications (PMAA18)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Efficient Parallel Implementation of Spectral Nested Dissection for Large-Scale Sparse Linear System2018

    • Author(s)
      Yuta Inagawa, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai
    • Organizer
      10th International Workshop on Parallel Matrix Algorithms and Applications (PMAA18)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Improving numerical stability and analyzing backward error for heavily damped quadratic eigenvalue problem2018

    • Author(s)
      Hongjia Chen, Akira Imakura, Tetsuya Sakurai
    • Organizer
      13th SIAM East Asian Section Conference 2018 (EASIAM2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Complex Moment-Based Partial Singular Value Decomposition2018

    • Author(s)
      Akira Imakura, Tetsuya Sakurai
    • Organizer
      SIAM Conference on Applied Linear Algebra (SIAM-ALA18)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 複素モーメント型部分特異値分解アルゴリズムと非線形変数変換を用いた精度改善2018

    • Author(s)
      今倉 暁, 櫻井鉄也
    • Organizer
      日本応用数理学会「行列・固有値問題の解法とその応用」研究部会 第26回研究会
    • Related Report
      2018 Research-status Report
  • [Presentation] 一般化エルミート固有値問題の周回積分型精度保証付き部分固有値計算2018

    • Author(s)
      今倉 暁, 保國 惠一, 高安 亮紀
    • Organizer
      日本応用数理学会 2018年度 年会
    • Related Report
      2018 Research-status Report
  • [Presentation] 反復線形ソルバを用いた大規模密一般化固有値問題向けSS-RR法の性能評価2018

    • Author(s)
      矢野貴大, 二村保徳, 今倉 暁, 櫻井鉄也
    • Organizer
      日本応用数理学会 2018年度 年会
    • Related Report
      2018 Research-status Report
  • [Presentation] Intel Xeon Phiを用いたSpectral nested dissectionの性能評価2018

    • Author(s)
      稲川 裕太, 二村 保徳, 今倉 暁, 櫻井 鉄也
    • Organizer
      2018年並列/分散/協調処理に関する『熊本』サマー・ワークショップ (SWoPP2018)
    • Related Report
      2018 Research-status Report
  • [Presentation] Verified Partial Eigenvalue Computation for Generalized Hermitian Eigenproblems Using Contour Integrals2018

    • Author(s)
      今倉 暁, 保國惠一, 高安亮紀
    • Organizer
      第47回数値解析シンポジウム (NAS2018)
    • Related Report
      2018 Research-status Report
  • [Presentation] 対称性を保存するblock SS-Hankel法について2018

    • Author(s)
      今倉 暁, 二村 保徳, 櫻井 鉄也
    • Organizer
      日本応用数理学会 第14回研究部会連合発表会
    • Related Report
      2017 Research-status Report
  • [Presentation] Recent Advances on the Algorithm-based Fault Tolerance of the Sakurai-Sugiura Eigensolver2017

    • Author(s)
      Yasunori Futamura, Akira Imakura, Tetsuya Sakurai
    • Organizer
      SIAM Conference on Parallel Processing for Scientific Computing (SIAM PP18)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Contour Integral Method to Evaluate Self--Energy Matrices for Large-Scale Electron Transport Calculations2017

    • Author(s)
      Shigeru Iwase, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai, Shigeru Tsukamoto, Forschungszentrum Julich, Tomoya Ono
    • Organizer
      SIAM Conference on Parallel Processing for Scientific Computing (SIAM PP18)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Contour Integral-Based Verified Computing for Partial Eigenvalues2017

    • Author(s)
      Akitoshi Takayasu, Akira Imakura, Keiichi Morikuni
    • Organizer
      SIAM Conference on Parallel Processing for Scientific Computing (SIAM PP18)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] An improvement of the block SS-Hankel method for solving Hermitian generalized eigenvalue problems2017

    • Author(s)
      Akira Imakura, Yasunori Futamura, Tetsuya Sakurai
    • Organizer
      International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2018)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Efficient and Scalable Calculation of Complex Band Structure Using Sakurai-Sugiura Method2017

    • Author(s)
      Shigeru Iwase, Yasunori Futamura, Akira Imakura, Tetsuya Sakurai, Tomoya Ono
    • Organizer
      International Conference for High Performance Computing, Networking, Storage and Analysis (SC17)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Structure-preserving of the block SS--Hankel method for solving Hermitian generalized eigenvalue problems2017

    • Author(s)
      Akira Imakura, Yasunori Futamura, Tetsuya Sakurai
    • Organizer
      12th International Conference on Parallel Processing and Applied Mathematics (PPAM2017)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A complex moment-based parallel eigensolver using the block communication-avoiding Arnoldi procedure2017

    • Author(s)
      Akira Imakura, Tetsuya Sakurai
    • Organizer
      4th JCAHPC Seminar
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] A complex moment-based nonlinear parallel eigensolver using the block communication-avoiding Arnoldi procedure2017

    • Author(s)
      Akira Imakura, Tetsuya Sakurai
    • Organizer
      Householder Symposium XX on Numerical Linear Algebra (HHXX)
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] 複素モーメントの誤差評価を用いた周回積分型精度保証付き部分固有値計算2017

    • Author(s)
      今倉 暁, 保國惠一, 高安亮紀
    • Organizer
      日本応用数理学会 2017年度 年会
    • Related Report
      2017 Research-status Report
  • [Presentation] A balancing technique for improving backward error of heavily damped quadratic eigenvalue problem2017

    • Author(s)
      Chen Hongjia, Akira Imakura, Tetsuya Sakurai
    • Organizer
      日本応用数理学会 2017年度 年会
    • Related Report
      2017 Research-status Report
  • [Presentation] 実対称行列に対する周回積分を用いた精度保証付き部分固有値計算2017

    • Author(s)
      今倉 暁, 保國惠一, 高安亮紀
    • Organizer
      第46回数値解析シンポジウム(NAS2017)
    • Related Report
      2017 Research-status Report
  • [Book] 数値線形代数の数理とHPC2018

    • Author(s)
      山本 有作, 多田野 寛人, 今倉 暁, 相島 健助, 宮田 考史, 櫻井 鉄也, 中村 佳正, 保國 惠一, 曽我部 知広, 中島 研吾, 深谷 猛, 二村 保徳, 大島 聡史
    • Total Pages
      336
    • Publisher
      共立出版
    • ISBN
      9784320019553
    • Related Report
      2018 Research-status Report
  • [Remarks] 個人ホームページ

    • URL

      http://www.cs.tsukuba.ac.jp/~imakura/index.html

    • Related Report
      2021 Annual Research Report 2020 Research-status Report
  • [Remarks] 個人ホームページ

    • URL

      http://www.cs.tsukuba.ac.jp/~imakura/

    • Related Report
      2019 Research-status Report 2018 Research-status Report
  • [Remarks]

    • URL

      http://www.cs.tsukuba.ac.jp/~imakura/

    • Related Report
      2017 Research-status Report
  • [Remarks]

    • URL

      http://www.trios.tsukuba.ac.jp/researcher/0000003376

    • Related Report
      2017 Research-status Report

URL: 

Published: 2017-04-28   Modified: 2023-01-30  

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