AISHIMA Kensuke 相島健助

… Alternative Names

AISHIMA KENSUKE 相島健助

Less

Researcher Number	40609658
Other IDs
Affiliation (Current)	2025: 法政大学, 情報科学部, 教授
Affiliation (based on the past Project Information) *help	2023: 法政大学, 情報科学部, 教授 2018 – 2023: 法政大学, 情報科学部, 准教授 2017: 東京大学, 大学院情報理工学系研究科, 特任講師 2016: 東京大学, 大学院情報理工学系研究科, 助教 2012 – 2015: 東京大学, 情報理工学(系)研究科, 助教 2011: 東京大学, 大学院・情報理工学系研究科, 助教
Review Section/Research Field	Principal Investigator Computational science / Basic Section 12040:Applied mathematics and statistics-related / Engineering fundamentals Except Principal Investigator Basic Section 60090:High performance computing-related / Computational science
Keywords	Principal Investigator 数値線形代数 / 数値計算手法 / 線形代数 / 数値解析 / 逆問題 / 固有値 / データ駆動 / 固有値問題 / 数値計算 / 線形計算 … More Except Principal Investigator … More 分散処理 / ビッグデータ解析 / 行列計算 / 線形計算 / 動的モード分解 / 線形回帰モデル / QR分解 / ビッグデータ処理 / エッジコンピューティング / 分散並列計算 / 高性能計算 / 線形計算アルゴリズム / 数理工学 / 応用数学 / 数値計算 / モデル縮減 / 構造保存解法 / 数値解析 Less

固有値の高速高精度数値計算手法の開発とその数理モデリングへの応用Principal Investigator
- Principal Investigator
  
  相島健助
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Hosei University
society5.0におけるデータ解析に資する高性能線形計算技術の研究
- Principal Investigator
  
  深谷猛
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 60090:High performance computing-related
- Research Institution
  Hokkaido University
Research on the development of fast and robust algorithms for large-scale eigenvalue problemsPrincipal Investigator
- Principal Investigator
  
  Aishima Kensuke
- Project Period (FY)
  2017 – 2022
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Computational science
- Research Institution
  Hosei University
  The University of Tokyo
Development of new efficient structure-preserving numerical methods based on model reductions
- Principal Investigator
  
  Matsuo Takayasu
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Computational science
- Research Institution
  The University of Tokyo
Fast numerical algorithms for singular value decompositionsPrincipal Investigator
- Principal Investigator
  
  AISHIMA Kensuke
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Computational science
- Research Institution
  The University of Tokyo
Fast algorithm of the singular value decompositionPrincipal Investigator
- Principal Investigator
  
  AISHIMA KENSUKE
- Project Period (FY)
  2011 – 2012
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Engineering fundamentals
- Research Institution
  The University of Tokyo

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Consistent estimation with the use of orthogonal projections for a linear regression model with errors in the variables2024
- Author(s)
  Aishima Kensuke
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 684 Pages: 101-126
- DOI
  10.1016/j.laa.2023.12.015
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K11909, KAKENHI-PROJECT-22K03422
[Journal Article] Statistical modeling and an adaptive averaging technique for strong convergence of the dynamic mode decomposition2023
- Author(s)
  Kensuke Aishima
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 417 Pages: 114551-114551
- DOI
  10.1016/j.cam.2022.114551
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K11909, KAKENHI-PROJECT-17K14143
[Journal Article] Strong consistency of the projected total least squares dynamic mode decomposition for datasets with random noise2022
- Author(s)
  Kensuke Aishima
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 40 Issue: 1 Pages: 691-707
- DOI
  10.1007/s13160-022-00547-6
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K11909, KAKENHI-PROJECT-22K03422, KAKENHI-PROJECT-17K14143
[Journal Article] Strong convergence for the dynamic mode decomposition based on the total least squares to noisy datasets2020
- Author(s)
  Aishima Kensuke
- Journal Title
  
  JSIAM Letters
  
  Volume: 12 Issue: 0 Pages: 33-36
- DOI
  10.14495/jsiaml.12.33
- NAID
  130007854061
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14143
[Journal Article] Formulations and theorems of quadratically convergent methods for inverse symmetric eigenvalue problems2020
- Author(s)
  Aishima Kensuke
- Journal Title
  
  NOLTA
  
  Volume: 11 Issue: 3 Pages: 303-326
- DOI
  10.1587/nolta.11.303
- NAID
  130007868232
- ISSN
  2185-4106
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14143
[Journal Article] A quadratically convergent algorithm for inverse generalized eigenvalue problems2020
- Author(s)
  Kensuke Aishima
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 367 Pages: 112485-112485
- DOI
  10.1016/j.cam.2019.112485
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14143
[Journal Article] Iterative refinement for symmetric eigenvalue decomposition II: clustered eigenvalues2019
- Author(s)
  Ogita Takeshi、Aishima Kensuke
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 印刷中 Issue: 2 Pages: 435-459
- DOI
  10.1007/s13160-019-00348-4
- NAID
  210000174658
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16H03917, KAKENHI-PROJECT-17H02826
[Journal Article] A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems2018
- Author(s)
  Aishima Kensuke
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 542 Pages: 310-333
- DOI
  10.1016/j.laa.2017.05.019
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14143
[Journal Article] A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues2018
- Author(s)
  Aishima Kensuke
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 549 Pages: 30-52
- DOI
  10.1016/j.laa.2018.03.022
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14143
[Journal Article] Extension of an error analysis of the randomized Kaczmarz method for inconsistent linear systems2018
- Author(s)
  Y. Morijiri, K. Aishima and T. Matsuo
- Journal Title
  
  JSIAM Letters
  
  Volume: 印刷中
- NAID
  130007404199
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17H02826
[Journal Article] Iterative refinement for symmetric eigenvalue decomposition2018
- Author(s)
  Ogita Takeshi、Aishima Kensuke
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 35 Issue: 3 Pages: 1007-1035
- DOI
  10.1007/s13160-018-0310-3
- NAID
  210000169527
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14143, KAKENHI-PROJECT-16H03917
[Journal Article] On convergence of iterative projection methods for symmetric eigenvalue problems2017
- Author(s)
  Kensuke Aishima
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 311 Pages: 513-521
- DOI
  10.1016/j.cam.2016.08.035
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25790096, KAKENHI-PROJECT-17H02826
[Journal Article] A note on convergence and a posteriori error estimates of the classical Jacobi method2015
- Author(s)
  Takuya Tsuchiya, Kensuke Aishima
- Journal Title
  
  Nonlinear Theory and Its Applications, IEICE
  
  Volume: 6 Pages: 391-396
- NAID
  130005085580
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-25790096
[Journal Article] A note on the convergence theorem of the tridiagonal QR algorithm with Wilkinson's shift2015
- Author(s)
  Kensuke Aishima
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: 32 Issue: 2 Pages: 465-487
- DOI
  10.1007/s13160-015-0171-y
- NAID
  210000183358
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25790096
[Journal Article] Global Convergence of the Restarted Lanczos and Jacobi-Davidson Methods for Symmetric Eigenvalue Problems2015
- Author(s)
  Kensuke Aishima
- Journal Title
  
  Numerische Mathematik
  
  Volume: 131 Issue: 3 Pages: 405-423
- DOI
  10.1007/s00211-015-0699-4
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25790096
[Journal Article] A note on the Rayleigh quotient iteration for symmetric eigenvalue problems2014
- Author(s)
  K. Aishima
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: -
- NAID
  210000161378
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23860014
[Journal Article] A shift strategy for superquadratic convergence in the dqds algorithm for singular values2014
- Author(s)
  Kensuke Aishima, Takayasu Matsuo, Kazuo Murota, Masaaki Sugihara
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: 257 Pages: 132-143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25790096
[Journal Article] A Wilkinson-like Multishift QR Algorithm for Symmetric Eigenvalue Problems and Its Global Convergence2012
- Author(s)
  K. Aishima, T. Matsuo, K. Murota, M. Sugihara
- Journal Title
  
  Journal of Computational and Applied Mathematics
  
  Volume: vol. 236 Issue: 15 Pages: 3556-3560
- DOI
  10.1016/j.cam.2011.04.012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23860014
[Journal Article] dqds with Aggressive Early Deflation2012
- Author(s)
  Y. Nakatsukasa, K. Aishima, I. Yamazaki
- Journal Title
  
  SIAM Journal on Matrix Analysis and Applications
  
  Volume: vol. 33 Issue: 1 Pages: 22-51
- DOI
  10.1137/110821330
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23860014
[Journal Article] A Note on the dqds Algorithm with Rutishauser's Shift for Singular Values2011
- Author(s)
  K. Aishima, T. Matsuo, K. Murota
- Journal Title
  
  Japan Journal of Industrial and Applied Mathematics
  
  Volume: vol. 28 Issue: 2 Pages: 251-262
- DOI
  10.1007/s13160-011-0037-x
- NAID
  10029520708
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] Design of an estimator with orthogonal projections for a linear regression model and its strong consistency2023
- Author(s)
  Kensuke Aishima
- Organizer
  ILAS2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03422
[Presentation] Design of an estimator with orthogonal projections for a linear regression model and its strong consistency2023
- Author(s)
  Kensuke Aishima
- Organizer
  ILAS2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K11909
[Presentation] Consistent Estimation Using SVD for a Linear Regression Model2023
- Author(s)
  Kensuke Aishima
- Organizer
  ICIAM2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K11909
[Presentation] Consistent Estimation Using SVD for a Linear Regression Model2023
- Author(s)
  Kensuke Aishima
- Organizer
  ICIAM2023
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03422
[Presentation] パラメータ空間に関する制約付きの線形回帰モデルに対する一致推定量2023
- Author(s)
  相島健助
- Organizer
  2023年並列／分散／協調処理に関するサマー・ワークショップ (SWoPP2023)
- Data Source
  KAKENHI-PROJECT-22K03422
[Presentation] パラメータ空間に関する制約付きの線形回帰モデルに対する一致推定量2023
- Author(s)
  相島健助
- Organizer
  2023年並列／分散／協調処理に関するサマー・ワークショップ (SWoPP2023)
- Data Source
  KAKENHI-PROJECT-21K11909
[Presentation] 数値線形代数と線形回帰分析2022
- Author(s)
  相島健助
- Organizer
  RIMS共同研究 (公開型) 数値解析が拓く次世代情報社会～エッジから富岳まで～
- Invited
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 数値線形代数と線形回帰分析2022
- Author(s)
  相島健助
- Organizer
  RIMS共同研究数値解析が拓く次世代情報社会～エッジから富岳まで～
- Data Source
  KAKENHI-PROJECT-21K11909
[Presentation] ある線形回帰モデルに対して特異値分解を用いて計算する推定量の一致性について2022
- Author(s)
  相島健助
- Organizer
  2022年並列／分散／協調処理に関するサマー・ワークショップ (SWoPP2022)
- Data Source
  KAKENHI-PROJECT-21K11909
[Presentation] 制約付きの線形回帰モデルに対する推定量の一致性について2022
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-21K11909
[Presentation] ある線形回帰モデルに対して特異値分解を用いて計算する推定量の一致性について2022
- Author(s)
  相島健助
- Organizer
  2022年並列／分散／協調処理に関するサマー・ワークショップ (SWoPP2022)
- Data Source
  KAKENHI-PROJECT-22K03422
[Presentation] 数値線形代数と線形回帰分析2022
- Author(s)
  相島健助
- Organizer
  RIMS共同研究 (公開型) 数値解析が拓く次世代情報社会～エッジから富岳まで～
- Invited
- Data Source
  KAKENHI-PROJECT-22K03422
[Presentation] 制約付きの線形回帰モデルに対する推定量の一致性について2022
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-22K03422
[Presentation] 制約付きの線形回帰モデルに対する推定量の一致性について2022
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] ある線形回帰モデルに対して特異値分解を用いて計算する推定量の一致性について2022
- Author(s)
  相島健助
- Organizer
  2022年並列／分散／協調処理に関するサマー・ワークショップ (SWoPP2022)
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 摂動成分を限定する全最小二乗問題に対する統計モデリングと数値解法の漸近解析2022
- Author(s)
  相島健助
- Organizer
  日本応用数理学会研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 動的モード分解に対して収束を保証する平均化手法について2021
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2021年度年会
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 低ランク行列近似の数理2021
- Author(s)
  相島健助
- Organizer
  第36回信号処理シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 部分空間を制限する全最小二乗法の効率的な計算手法とその収束解析2021
- Author(s)
  相島健助
- Organizer
  日本応用数理学会 2021年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] ノイズを含むデータに対する動的モード分解の推定精度の理論解析2020
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2020年度年会
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 動的モード分解のノイズ除去の効果に対する統計解析2019
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2019年度年会
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] Convergence theorem of iterative projection methods for symmetric eigenvalue problems2019
- Author(s)
  Kensuke Aishima
- Organizer
  9th International Congress on Industrial and Applied Mathematics (ICIAM2019)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 逆一般化固有値問題に対する二次収束解法とその収束理論2019
- Author(s)
  相島健助
- Organizer
  日本応用数理学会研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-17H02826
[Presentation] 時系列データの適切なノイズ除去を行う動的モード分解の計算手法2019
- Author(s)
  相島健助
- Organizer
  2019年並列／分散／協調処理に関する『北見』サマー・ワークショップ (SWoPP2019)
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 動的モード分解に対する確率解析2019
- Author(s)
  相島健助
- Organizer
  京都大学数理解析研究所研究集会「諸科学分野を結ぶ基礎学問としての数値解析学」
- Invited
- Data Source
  KAKENHI-PROJECT-17H02826
[Presentation] 動的モード分解に対する確率解析2019
- Author(s)
  相島健助
- Organizer
  京都大学数理解析研究所研究集会「諸科学分野を結ぶ基礎学問としての数値解析学」
- Invited
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 動的モード分解のノイズ除去の効果に対する統計解析2019
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2019年度年会
- Data Source
  KAKENHI-PROJECT-17H02826
[Presentation] Matrix Multiplication Based Algorithm for Inverse Eigenvalue Problems and Its Quadratic Convergence2018
- Author(s)
  Kensuke Aishima
- Organizer
  18th SIAM Conference on Parallel Processing for Scientific Computing, 2018, Tokyo
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] A Quadratically Convergent Algorithm Based on Matrix Equations for Inverse Eigenvalue Problems2017
- Author(s)
  Kensuke Aishima
- Organizer
  The Householder Symposium XX, 2017, The Inn at Virginia Tech
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 対称固有値問題に対する数値計算法とその応用について (On numerical algorithms for symmetric eigenvalue problems and their applications)2017
- Author(s)
  相島健助
- Organizer
  京都大学数理解析研究所研究集会「数値解析学の最前線 ---理論・方法・応用---」
- Invited
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] 信号到来方向推定アルゴリズムESPRITの数理構造を用いる動的モード分2017
- Author(s)
  相島健助
- Organizer
  日本応用数理学会「行列・固有値の解法とその応用」研究部会第24回研究会，東大
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 重複固有値を指定する逆固有値問題に対する二次収束解法について2017
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2017年度年会，武蔵野大学，2017
- Data Source
  KAKENHI-PROJECT-17K14143
[Presentation] 逆固有値問題に対する反復解法の収束性解析2017
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2016年研究部会連合発表会
- Place of Presentation
  東京都調布市，電気通信大学
- Year and Date
  2017-03-06
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] 逆一般化固有値問題に対する擬似ニュートン法2016
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2016年度年会
- Place of Presentation
  福岡県北九州市，北九州国際会議場
- Year and Date
  2016-09-12
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] 逆固有値問題に対する疑似ニュートン法の導出について2016
- Author(s)
  相島健助
- Organizer
  2016年並列／分散／協調処理に関する『松本』サマー・ワークショップ
- Place of Presentation
  長野県松本市，キッセイ文化ホール（長野県松本文化会館）
- Year and Date
  2016-08-08
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] A quasi-Newton method for inverse eigenvalue problems2016
- Author(s)
  Kensuke Aishima
- Organizer
  20th Conference of the International Linear Algebra Society
- Place of Presentation
  Leuven, Belgium
- Year and Date
  2016-07-11
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] 特異値分解に基づく行列補完の乱択による補完精度の向上について2015
- Author(s)
  相島健助，佐藤一誠
- Organizer
  日本応用数理学会２０１５年度年会
- Place of Presentation
  石川県金沢市，金沢大学
- Year and Date
  2015-09-09
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] Convergence Proof for Some Iterative Projection Methods from a Perturbation Bound for Symmetric Eigenvalue Problems2015
- Author(s)
  Kensuke Aishima
- Organizer
  8th International Congress on Industrial and Applied Mathematics
- Place of Presentation
  中国，北京
- Year and Date
  2015-08-10
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] Iterative Refinement for Symmetric Eigenvalue Decomposition and Singular Value Decomposition2015
- Author(s)
  Kensuke Aishima, Takeshi Ogita
- Organizer
  SIAM Conference on Applied Linear Algebra (LA15)
- Place of Presentation
  アメリカ，アトランタ
- Year and Date
  2015-10-26
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] リスタート処理を動的に行うLanczos法の大域的収束性2014
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2014年研究部会連合発表会
- Place of Presentation
  京都大学，京都
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] リスタートを導入したLanczos法の大域的収束性2013
- Author(s)
  相島健助
- Organizer
  2013年度応用数学合同研究集会
- Place of Presentation
  龍谷大学，滋賀
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] リスタート付きJacobi-Davidson法の大域的収束性について2013
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2013年度年会
- Place of Presentation
  アクロス福岡，福岡
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] 対称固有値問題に対するリスタート付き Lanczos 法および Jacobi-Davidson 法の大域的収束性2013
- Author(s)
  相島健助
- Organizer
  第42回数値解析シンポジウム
- Place of Presentation
  四国道後舘，愛媛
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] コレスキーLR法の収束性解析2012
- Author(s)
  相島健助, 松尾宇泰, 杉原正顯
- Organizer
  日本応用数理学会2012年度年会
- Place of Presentation
  稚内ホテル日航
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] Stability theorem of the dqds with aggressive deflation for singular values2012
- Author(s)
  K. Aishima, Yuji Nakatsukasa, Ichitaro Yamazaki
- Organizer
  9th International Workshop on Accurate Solution of Eigenvalue Problems
- Place of Presentation
  California, America
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] dqds with aggressive early deflation for computing singular values2012
- Author(s)
  K. Aishima, Yuji Nakatsukasa, Ichitaro Yamazaki
- Organizer
  SIAM Conference on Applied Linear Algebra
- Place of Presentation
  Valencia, Spain
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] dqds with aggressive deflation for singular values2012
- Author(s)
  K. Aishima, Yuji Nakatsukasa, Ichitaro Yamazaki
- Organizer
  12th Advanced Supercomputing Environment (ASE) Seminar
- Place of Presentation
  Tokyo, the University of Tokyo
- Year and Date
  2012-04-25
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] 対称固有値問題に対するレイリー商反復法に対する一注意2012
- Author(s)
  相島健助, 松尾宇泰, 杉原正顯
- Organizer
  日本応用数理学会2012年研究部会連合発表会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] dqds with aggressive deflation for singular values2012
- Author(s)
  Y. Nakatasuokasa, K. Aishima, I. Yamazaki
- Organizer
  12th Advanced Supercomputing Environment(ASE) Seminar
- Place of Presentation
  東京大学(招待講演)
- Year and Date
  2012-04-25
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] 行列の特異値を計算するdqds法について2012
- Author(s)
  相島健助
- Organizer
  第12回岐阜数理科学セミナー
- Place of Presentation
  岐阜大学
- Year and Date
  2012-01-12
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] Wilkinsonシフト付きQR法に対する全成分の収束の理論保証2011
- Author(s)
  相島健助,松尾宇泰,杉原正顯
- Organizer
  日本応用数理学会「行列・固有値の解法とその応用」研究部会第12回研究会
- Place of Presentation
  国立情報学研究所
- Year and Date
  2011-11-21
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] 行列の特異値を求めるアグレッシブデフレーション付きdqds法2011
- Author(s)
  相島健助, 中務佑治, 山崎市太郎
- Organizer
  応用数学合同研究集会
- Place of Presentation
  龍谷大学
- Data Source
  KAKENHI-PROJECT-23860014
[Presentation] Global Convergence of the Restarted Lanczos Method and Jacobi-Davidson Method for Symmetric Eigenvalue Problems
- Author(s)
  Kensuke Aishima
- Organizer
  The Householder Symposium XIX
- Place of Presentation
  Spa, Belgium
- Year and Date
  2014-06-08 – 2014-06-13
- Data Source
  KAKENHI-PROJECT-25790096
[Presentation] 対称固有値問題に対するRayleigh-Ritzの技法において収束を保証するリスタート戦略について
- Author(s)
  相島健助
- Organizer
  日本応用数理学会2014年度年会
- Place of Presentation
  東京都港区，政策研究大学院大学
- Year and Date
  2014-09-03 – 2014-09-05
- Data Source
  KAKENHI-PROJECT-25790096

1. Matsuo Takayasu (90293670)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
2. 深谷猛 (30633846)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 荻田武史

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

AISHIMA Kensuke 相島 健助

AISHIMA KENSUKE 相島 健助

Research Projects

Research Products

Co-Researchers

固有値の高速高精度数値計算手法の開発とその数理モデリングへの応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

society5.0におけるデータ解析に資する高性能線形計算技術の研究

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on the development of fast and robust algorithms for large-scale eigenvalue problemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Development of new efficient structure-preserving numerical methods based on model reductions

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Fast numerical algorithms for singular value decompositionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Fast algorithm of the singular value decompositionPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Consistent estimation with the use of orthogonal projections for a linear regression model with errors in the variables2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Statistical modeling and an adaptive averaging technique for strong convergence of the dynamic mode decomposition2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Strong consistency of the projected total least squares dynamic mode decomposition for datasets with random noise2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Strong convergence for the dynamic mode decomposition based on the total least squares to noisy datasets2020

Author(s)

Journal Title

DOI

NAID

ISSN

Language

Data Source

[Journal Article] Formulations and theorems of quadratically convergent methods for inverse symmetric eigenvalue problems2020

Author(s)

Journal Title

DOI

NAID

ISSN

Language

Data Source

[Journal Article] A quadratically convergent algorithm for inverse generalized eigenvalue problems2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Iterative refinement for symmetric eigenvalue decomposition II: clustered eigenvalues2019

Author(s)

Journal Title

AISHIMA Kensuke 相島健助

AISHIMA KENSUKE 相島健助