A strategy of reducing the inner iteration counts for the variable preconditioned GCR({$ vc{m}$}) method. - Kensuke Aihara; Emiko Ishiwata; Kuniyoshi Abe (JSIAM Lett., 2010)

An alternative implementation of the IDRstab method saving vector updates. - Kensuke Aihara; Kuniyoshi Abe; Emiko Ishiwata (JSIAM Lett., 2011)

A quasi-minimal residual variant of IDRstab using the residual smoothing technique. - Kensuke Aihara; Kuniyoshi Abe; Emiko Ishiwata (Appl. Math. Comput., 2014)

A variant of IDRstab with reliable update strategies for solving sparse linear systems. - Kensuke Aihara; Kuniyoshi Abe; Emiko Ishiwata (J. Comput. Appl. Math., 2014)

Variants of the groupwise update strategy for short-recurrence Krylov subspace methods. - Kensuke Aihara (Numer. Algorithms, 2017)

A matrix-free implementation of Riemannian Newton's method on the Stiefel manifold. - Kensuke Aihara; Hiroyuki Sato (Optim. Lett., 2017)

Cholesky QR-based retraction on the generalized Stiefel manifold. - Hiroyuki Sato; Kensuke Aihara (Comput. Optim. Appl., 2019)

GPBi-CGstab(L): A Lanczos-type product method unifying Bi-CGstab(L) and GPBi-CG. - Kensuke Aihara (Numer. Linear Algebra Appl., 2020)

Cross-Interactive Residual Smoothing for Global and Block Lanczos-Type Solvers for Linear Systems with Multiple Right-Hand Sides. - Kensuke Aihara; Akira Imakura; Keiichi Morikuni (SIAM J. Matrix Anal. Appl., 2022)

Global GPBiCGstab(L) method for solving linear matrix equations. - Itsuki Horiuchi; Kensuke Aihara; Toshio Suzuki; Emiko Ishiwata (Numer. Algorithms, 2023)

Block cross-interactive residual smoothing for Lanczos-type solvers for linear systems with multiple right-hand sides. - Kensuke Aihara; Akira Imakura; Keiichi Morikuni (CoRR, 2024)