K
Kensuke Aihara
Researcher at Tokyo City University
Publications - 15
Citations - 62
Kensuke Aihara is an academic researcher from Tokyo City University. The author has contributed to research in topics: Linear system & Rounding. The author has an hindex of 4, co-authored 13 publications receiving 46 citations. Previous affiliations of Kensuke Aihara include Tokyo University of Science.
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Cholesky QR-based retraction on the generalized Stiefel manifold
Hiroyuki Sato,Kensuke Aihara +1 more
TL;DR: This paper proves a map based on the QR factorization to be a retraction on the generalized Stiefel manifold and proposes an efficient implementation of the retractionbased on the Cholesky QR factorizations.
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A matrix-free implementation of Riemannian Newton’s method on the Stiefel manifold
Kensuke Aihara,Hiroyuki Sato +1 more
TL;DR: A matrix-free Krylov subspace method is used to solve a symmetric linear system into which the Newton equation is rewritten, and it is demonstrated that the proposed method is effective for the above optimization problem.
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A variant of IDRstab with reliable update strategies for solving sparse linear systems
TL;DR: Numerical experiments show that the alternative recursion formula reliably reduces the residual gap, and that the proposed variant of IDRStab is effective for sparse linear systems.
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Variants of residual smoothing with a small residual gap
TL;DR: This work reformulate the smoothing scheme from a novel perspective, and designs a variant of residual smoothing in which the primary and smoothed sequences influence each other, which results in a smaller residual gap, and thus a higher attainable accuracy.