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AISHIMA Kensuke
Faculty of Computer and Information Sciences Department of Computer Science
Professor
Researchmap URL
https://researchmap.jp/aishima
Research activity information
■ Paper
■ Research Themes
- 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, Jul. 2024 - 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, Mar. 2024 - Statistical modeling and an adaptive averaging technique for strong convergence of the dynamic mode decomposition.
Kensuke Aishima
Journal of Computational and Applied Mathematics, 2023 - 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, 14 Oct. 2022 - Consistent estimation for an errors-in-variables model based on constrained total least squares problems.
Kensuke Aishima
JSIAM Letters, 2022 - 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, May 2020, [Reviewed] - Strong convergence for the dynamic mode decomposition based on the total least squares to noisy datasets
Kensuke Aishima
JSIAM LETTERS, 2020, [Reviewed] - Formulations and theorems of quadratically convergent methods for inverse symmetric eigenvalue problems
Kensuke Aishima
IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2020, [Reviewed] - Iterative refinement for singular value decomposition based on matrix multiplication.
Takeshi Ogita; Kensuke Aishima
J. Comput. Appl. Math., 2020, [Reviewed] - A quadratically convergent algorithm for inverse generalized eigenvalue problems.
Kensuke Aishima
J. Comput. Appl. Math., 2020, [Reviewed] - Iterative refinement for symmetric eigenvalue decomposition II: clustered eigenvalues
Takeshi Ogita; Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Jul. 2019, [Reviewed] - Iterative refinement for symmetric eigenvalue decomposition
Takeshi Ogita; Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Nov. 2018, [Reviewed] - A quadratically convergent algorithm for inverse eigenvalue problems with multiple eigenvalues
Kensuke Aishima
Linear Algebra and Its Applications, 15 Jul. 2018, [Reviewed] - A quadratically convergent algorithm based on matrix equations for inverse eigenvalue problems
Kensuke Aishima
Linear Algebra and Its Applications, 01 Apr. 2018, [Reviewed] - Extension of an error analysis of the randomized Kaczmarz method for inconsistent linear systems.
Yushi Morijiri; Kensuke Aishima; Takayasu Matsuo
JSIAM Lett., 2018, [Reviewed] - On convergence of iterative projection methods for symmetric eigenvalue problems
Kensuke Aishima
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Feb. 2017, [Reviewed] - Global convergence of the restarted Lanczos and Jacobi-Davidson methods for symmetric eigenvalue problems
Kensuke Aishima
NUMERISCHE MATHEMATIK, Nov. 2015, [Reviewed] - A note on the convergence theorem of the tridiagonal QR algorithm with Wilkinson's shift
Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Jul. 2015, [Reviewed] - 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, [Reviewed] - 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, Jan. 2015, [Reviewed] - A note on the Rayleigh quotient iteration for symmetric eigenvalue problems
Kensuke Aishima
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, Nov. 2014, [Reviewed] - 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, Feb. 2014, [Reviewed] - 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, Sep. 2012, [Reviewed] - dqds WITH AGGRESSIVE EARLY DEFLATION
Yuji Nakatsukasa; Kensuke Aishima; Ichitaro Yamazaki
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2012, [Reviewed] - 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, [Reviewed] - Superquadratic convergence of DLASQ for computing matrix singular values
Kensuke Aishima; Takayasu Matsuo; Kazuo Murota; Masaaki Sugihara
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Jun. 2010, [Reviewed] - 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, [Reviewed] - 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, Feb. 2008, [Reviewed] - Superquadratically Convergent Shift Strategy with Theoretical Guarantee in the dqds Algorithm for Singular Values(Theory)
Aishima Kensuke; Matsuo Takayasu; Murota Kazuo; Sugihara Masaaki
Transactions of the Japan Society for Industrial and Applied Mathematics, 2008, [Reviewed] - 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, [Reviewed] - On Convergence of dqds and mdLVs Algorithms for Singular Value Computation(Theory)
Aishima Kensuke; Matsuo Takayasu; Murota Kazuo; Sugihara Masaaki
Transactions of the Japan Society for Industrial and Applied Mathematics, 2007, [Reviewed]
- Fundamental Theory of a Singular Value Algorithm : Convergence Analysis of the dqds Algorithm
Aishima Kensuke
Bulletin of the Japan Society for Industrial and Applied Mathematics, 2012 - JSIAM Seminar(Conference Reports)
Aishima Kensuke; Matsuo Takayasu
Bulletin of the Japan Society for Industrial and Applied Mathematics, 2010 - SIAM CSE09(Conference Reports)
Katagiri Takahiro; Aishima Kensuke; Nakajima Kengo
Bulletin of the Japan Society for Industrial and Applied Mathematics, 2009 - Convergence Theorems of the dpds Algorithm for Singular Values (High Performance Algorithms for Computational Science and Their Applications)
Aishima Kensuke; Matsuo Takayasu; Murota Kazuo; Sugihara Masaaki
RIMS Kokyuroku, Oct. 2008 - On Convergence of the dqds and mdLVs Algorithms for Computing Matrix Singular Values(Mathematical Sciences for Large Scale Numerical Simulations)
Aishima Kensuke; Matsuo Takayasu; Murota Kazuo
RIMS Kokyuroku, Nov. 2007
■ Research Themes
- Development of new efficient structure-preserving numerical methods based on model reductions
Grant-in-Aid for Scientific Research (B)
The University of Tokyo
01 Apr. 2017 - 31 Mar. 2021 - Fast numerical algorithms for singular value decompositions
Grant-in-Aid for Young Scientists (B)
The University of Tokyo
01 Apr. 2013 - 31 Mar. 2018 - Fast algorithm of the singular value decomposition
Grant-in-Aid for Research Activity Start-up
The University of Tokyo
24 Aug. 2011 - 31 Mar. 2013
