Výsledky vyhledávání - "Aihara, Kensuke"

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Block cross-interactive residual smoothing for Lanczos-type solvers for linear systems with multiple right-hand sides

Autor: Aihara, Kensuke, Imakura, Akira, Morikuni, Keiichi

Lanczos-type solvers for large sparse linear systems often exhibit large oscillations in the residual norms. In finite precision arithmetic, large oscillations increase the residual gap (the difference between the recursively updated residual and the

Externí odkaz: http://arxiv.org/abs/2412.19488

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Modified Armijo line-search in Riemannian optimization with reduced computational cost

Autor: Yamakawa, Yuya, Sato, Hiroyuki, Aihara, Kensuke

In this paper, we propose a new line-search method that improves the ordinary Armijo line-search in Riemannian optimization. For optimization problems on Riemannian manifolds, many types of globally convergent algorithms have been proposed, and they

Externí odkaz: http://arxiv.org/abs/2304.02197

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Cross-interactive residual smoothing for global and block Lanczos-type solvers for linear systems with multiple right-hand sides

Autor: Aihara, Kensuke, Imakura, Akira, Morikuni, Keiichi

Publikováno v: SIAM Journal on Matrix Analysis and Applications, Volume 43, Issue 3, pp.1308--1330, August 8, 2022

Global and block Krylov subspace methods are efficient iterative solvers for large sparse linear systems with multiple right-hand sides. However, global or block Lanczos-type solvers often exhibit large oscillations in the residual norms and may have

Externí odkaz: http://arxiv.org/abs/2106.00284

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