Research field (4):
Applied mathematics and statistics
, Basic mathematics
, Computational science
, Information theory
Research keywords (4):
数値解析
, 数値線形代数
, 線形計算
, 数値計算
Research theme for competitive and other funds (7):
2022 - 2027 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
2021 - 2024 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
2017 - 2023 大規模固有値問題に対する高速かつロバストなアルゴリズムの開発に関する研究
2017 - 2021 Development of new efficient structure-preserving numerical methods based on model reductions
2013 - 2018 Fast numerical algorithms for singular value decompositions
2011 - 2013 Fast algorithm of the singular value decomposition
2008 - 2010 行列の特異値分解の高速数値計算法に関する研究
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Papers (31):
Kensuke Aishima. Strong consistency of an estimator by the truncated singular value decomposition for an errors-in-variables regression model with collinearity. Linear Algebra and its Applications. 2024
Kensuke Aishima. Consistent estimation with the use of orthogonal projections for a linear regression model with errors in the variables. Linear Algebra and its Applications. 2024. 684. 101-126
Aishima Kensuke, Matsuo Takayasu. JSIAM Seminar(Conference Reports). Bulletin of the Japan Society for Industrial and Applied Mathematics. 2010. 20. 3. 260-261
Katagiri Takahiro, Aishima Kensuke, Nakajima Kengo. SIAM CSE09(Conference Reports). Bulletin of the Japan Society for Industrial and Applied Mathematics. 2009. 19. 3. 204-205
Aishima Kensuke, Matsuo Takayasu, Murota Kazuo, Sugihara Masaaki. Convergence Theorems of the dpds Algorithm for Singular Values (High Performance Algorithms for Computational Science and Their Applications). RIMS Kokyuroku. 2008. 1614. 20-33