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相島 健助
情報科学部 コンピュータ科学科
教授
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https://researchmap.jp/aishima
研究活動情報
■ 論文
■ 共同研究・競争的資金等の研究課題
- Strong consistency of an estimator by the truncated singular value decomposition for an errors-in-variables regression model with collinearity
Kensuke Aishima
Linear Algebra and its Applications, 2024年07月 - Consistent estimation with the use of orthogonal projections for a linear regression model with errors in the variables
Kensuke Aishima
Linear Algebra and its Applications, 2024年03月 - Statistical modeling and an adaptive averaging technique for strong convergence of the dynamic mode decomposition.
Kensuke Aishima
Journal of Computational and Applied Mathematics, 2023年 - Strong consistency of the projected total least squares dynamic mode decomposition for datasets with random noise
Kensuke Aishima
Japan Journal of Industrial and Applied Mathematics, 2022年10月14日 - Consistent estimation for an errors-in-variables model based on constrained total least squares problems.
Kensuke Aishima
JSIAM Letters, 2022年 - Convergence proof of the Harmonic Ritz pairs of iterative projection methods with restart strategies for symmetric eigenvalue problems
Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2020年05月, ［査読有り］ - Strong convergence for the dynamic mode decomposition based on the total least squares to noisy datasets
Kensuke Aishima
JSIAM LETTERS, 2020年, ［査読有り］ - Formulations and theorems of quadratically convergent methods for inverse symmetric eigenvalue problems
Kensuke Aishima
IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2020年, ［査読有り］ - Iterative refinement for singular value decomposition based on matrix multiplication.
Takeshi Ogita; Kensuke Aishima
J. Comput. Appl. Math., 2020年, ［査読有り］ - A quadratically convergent algorithm for inverse generalized eigenvalue problems.
Kensuke Aishima
J. Comput. Appl. Math., 2020年, ［査読有り］ - Iterative refinement for symmetric eigenvalue decomposition II: clustered eigenvalues
Takeshi Ogita; Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2019年07月, ［査読有り］ - Iterative refinement for symmetric eigenvalue decomposition
Takeshi Ogita; Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2018年11月, ［査読有り］ - A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues
Kensuke Aishima
Linear Algebra and Its Applications, 2018年07月15日, ［査読有り］ - A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems
Kensuke Aishima
Linear Algebra and Its Applications, 2018年04月01日, ［査読有り］ - Extension of an error analysis of the randomized Kaczmarz method for inconsistent linear systems.
Yushi Morijiri; Kensuke Aishima; Takayasu Matsuo
JSIAM Lett., 2018年, ［査読有り］ - On convergence of iterative projection methods for symmetric eigenvalue problems
Kensuke Aishima
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017年02月, ［査読有り］ - Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems
Kensuke Aishima
NUMERISCHE MATHEMATIK, 2015年11月, ［査読有り］ - A note on the convergence theorem of the tridiagonal QR algorithm with Wilkinson's shift
Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2015年07月, ［査読有り］ - A note on convergence and a posteriori error estimates of the classical Jacobi method
Tsuchiya Takuya; Aishima Kensuke
IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2015年, ［査読有り］ - Orthogonal polynomial approach to estimation of poles of rational functions from data on open curves
Shinji Ito; Kensuke Aishima; Takaaki Nara; Masaaki Sugihara
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015年01月, ［査読有り］ - A note on the Rayleigh quotient iteration for symmetric eigenvalue problems
Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2014年11月, ［査読有り］ - A shift strategy for superquadratic convergence in the dqds algorithm for singular values
Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014年02月, ［査読有り］ - A Wilkinson-like multishift QR algorithm for symmetric eigenvalue problems and its global convergence
Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012年09月, ［査読有り］ - dqds WITH AGGRESSIVE EARLY DEFLATION
Yuji Nakatsukasa; Kensuke Aishima; Ichitaro Yamazaki
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2012年, ［査読有り］ - A note on the dqds algorithm with Rutishauser's shift for singular values
Kensuke Aishima; Takayasu Matsuo; Kazuo Murota
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2011年, ［査読有り］ - Superquadratic convergence of DLASQ for computing matrix singular values
Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010年06月, ［査読有り］ - A survey on convergence theorems of the dqds algorithm for computing singular values
Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara
Journal of Math-for-Industry, 2010年, ［査読有り］ - Rigorous proof of cubic convergence for the dqds algorithm for singular values
Kensuke Aishima; Takayasu Matsuo; Kazuo Murota
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2008年02月, ［査読有り］ - ON CONVERGENCE OF THE DQDS ALGORITHM FOR SINGULAR VALUE COMPUTATION
Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2008年, ［査読有り］
- On Convergence of the dqds and mdLVs Algorithms for Computing Matrix Singular Values(Mathematical Sciences for Large Scale Numerical Simulations)
相島 健助; 松尾 宇泰; 室田 一雄
数理解析研究所講究録, 2007年11月
■ 共同研究・競争的資金等の研究課題
