Kensuke Aihara

J-GLOBAL         Last updated: Jan 18, 2019 at 16:57
 
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Name
Kensuke Aihara
Affiliation
Tokyo City University
Section
Faculty of Knowledge Engineering Department of Computer Science

Research Areas

 
 

Misc

 
Hiroyuki Sato, Kensuke Aihara
Computational Optimization and Applications      Jan 2018
© 2018, Springer Science+Business Media, LLC, part of Springer Nature. When optimizing on a Riemannian manifold, it is important to use an efficient retraction, which maps a point on a tangent space to a point on the manifold. In this paper, we pr...
小澤伸也, 細田陽介, 相原研輔
電子情報通信学会論文誌 A(Web)   J101-A(1) 15‐19 (WEB ONLY)   Jan 2018
米山涼介, 相原研輔, 石渡恵美子
日本応用数理学会論文誌(Web)   28(1) 18‐38(J‐STAGE)   2018
Kensuke Aihara, Hiroyuki Sato
Optimization Letters   11 1729-1741   Dec 2017
© 2016, Springer-Verlag Berlin Heidelberg. Newton’s method for unconstrained optimization problems on the Euclidean space can be generalized to that on Riemannian manifolds. The truncated singular value problem is one particular problem defined on...
Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, Emiko Ishiwata
Lecture Notes in Computational Science and Engineering   117 143-155   Jan 2017
© Springer International Publishing AG 2017. For a specially structured nonsymmetric banded matrix, which is related to a discrete integrable system, we propose a novel method to compute all the eigenvectors. We show that the eigenvector entries a...
小澤伸也, 細田陽介, 相原研輔
電子情報通信学会論文誌 A(Web)   J100-A(1) 92‐101 (WEB ONLY)   Jan 2017
Kensuke Aihara
Numerical Algorithms   75(2) 397-412   2017   [Refereed]
Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata
IAENG International Journal of Applied Mathematics   45 164-174   Jan 2015
The IDRStab method, which combines the Induced Dimension Reduction (IDR) (s) method with higher-order stabilizing polynomials, is an effective method for solving large nonsymmetric linear systems. IDRStab can be implemented using different algorit...
Kensuke Aihara, Akira Osato, Kuniyoshi Abe, Emiko Ishiwata
AIP Conference Proceedings   1648    Jan 2015
© 2015 AIP Publishing LLC.The IDRstab method, which combines the Induced Dimension Reduction (IDR) (s) method with higher-order stabilizing polynomials, is an effective method for solving large sparse nonsymmetric linear systems. However, IDRstab ...
Kuniyoshi Abe, Kensuke Aihara
AIP Conference Proceedings   1648    Jan 2015
© 2015 AIP Publishing LLC.The hybrid Bi-Conjugate Gradient (BiCG) methods such as the BiCG STABilized (BiCGSTAB), BiCGstab(l) methods and Generalized Product-type method based on BiCG (GPBiCG) are well-known, and the hybrid Bi-Conjugate Residual (...
Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata
Applied Mathematics and Computation   236 67-77   Jun 2014
Quasi-Minimal Residual (QMR)-type methods have been developed for improving the oscillations in the residual norms of the Bi-Conjugate Gradient (Bi-CG) method and the hybrid Bi-CG methods. The IDRstab method, which combines the Induced Dimension R...
Kensuke Aihara, Kuniyoshi Abe, Emiko Ishiwata
Journal of Computational and Applied Mathematics   259 244-258   Jan 2014
The IDRStab method is often more effective than the IDR(s) method and the BiCGstab(ℓ) method for solving large nonsymmetric linear systems. IDRStab can have a large so-called residual gap: the convergence of recursively computed residual norms doe...
村田悠一郎, 相原研輔, 阿部邦美, 石渡恵美子
日本応用数理学会論文誌   23(3) 417-437   Sep 2013
AIHARA Kensuke, ABE Kuniyoshi, ISHIWATA Emiko
JSIAM Lett (Web)   3 69-72 (J-STAGE)   2011
AIHARA Kensuke, ISHIWATA Emiko, ABE Kuniyoshi
JSIAM Lett (Web)   2 77-80 (J-STAGE)   2010