On a two-term recurrence for the determinant of a general matrix. - Tomohiro Sogabe (Appl. Math. Comput., 2007)

A fast numerical algorithm for the determinant of a pentadiagonal matrix. - Tomohiro Sogabe (Appl. Math. Comput., 2008)

Numerical algorithms for solving comrade linear systems based on tridiagonal solvers. - Tomohiro Sogabe (Appl. Math. Comput., 2008)

A note on "A fast numerical algorithm for the determinant of a pentadiagonal matrix". - Tomohiro Sogabe (Appl. Math. Comput., 2008)

New algorithms for solving periodic tridiagonal and periodic pentadiagonal linear systems. - Tomohiro Sogabe (Appl. Math. Comput., 2008)

On a problem related to the Vandermonde determinant. - Tomohiro Sogabe; Moawwad El-Mikkawy (Discret. Appl. Math., 2009)

Lanczos-type variants of the COCR method for complex nonsymmetric linear systems. - Yan-Fei Jing; Ting-Zhu Huang; Yong Zhang 048; Liang Li 001; Guang-Hui Cheng; Zhi-Gang Ren; Yong Duan; Tomohiro Sogabe; Bruno Carpentieri (J. Comput. Phys., 2009)

An implicit wavelet sparse approximate inverse preconditioner using block finger pattern. - Akira Imakura; Tomohiro Sogabe; Shao-Liang Zhang (Numer. Linear Algebra Appl., 2009)

Notes on particular symmetric polynomials with applications. - Moawwad El-Mikkawy; Tomohiro Sogabe (Appl. Math. Comput., 2010)

A new family of k-Fibonacci numbers. - Moawwad El-Mikkawy; Tomohiro Sogabe (Appl. Math. Comput., 2010)

Fast block diagonalization of k-tridiagonal matrices. - Tomohiro Sogabe; Moawwad El-Mikkawy (Appl. Math. Comput., 2011)

A block IDR(s) method for nonsymmetric linear systems with multiple right-hand sides. - Lei Du; Tomohiro Sogabe; Bo Yu 003; Y. Yamamoto; Shaoliang Zhang (J. Comput. Appl. Math., 2011)

A variant of the IDR(s) method with the quasi-minimal residual strategy. - Lei Du; Tomohiro Sogabe; Shaoliang Zhang (J. Comput. Appl. Math., 2011)

Quasi-minimal residual smoothing technique for the IDR($s$) method. - Lei Du; Tomohiro Sogabe; Shao-Liang Zhang (JSIAM Lett., 2011)

A new algorithm for solving nearly penta-diagonal Toeplitz linear systems. - Ji-Teng Jia; Qiong-xiang Kong; Tomohiro Sogabe (Comput. Math. Appl., 2012)

A fast numerical algorithm for solving nearly penta-diagonal linear systems. - Ji-Teng Jia; Qiong-xiang Kong; Tomohiro Sogabe (Int. J. Comput. Math., 2012)

Solution of generalized shifted linear systems with complex symmetric matrices. - Tomohiro Sogabe; Takeo Hoshi; Shaoliang Zhang; Takeo Fujiwara (J. Comput. Phys., 2012)

On particular solution of ordinary differential equations with constant coefficients. - Ji-Teng Jia; Tomohiro Sogabe (Appl. Math. Comput., 2013)

Inversion of k-tridiagonal matrices with Toeplitz structure. - Ji-Teng Jia; Tomohiro Sogabe; Moawwad El-Mikkawy (Comput. Math. Appl., 2013)

A novel algorithm and its parallelization for solving nearly penta-diagonal linear systems. - Ji-Teng Jia; Tomohiro Sogabe (Int. J. Comput. Math., 2013)

An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems. - Lei Du; Tomohiro Sogabe; Shaoliang Zhang (Appl. Math. Comput., 2014)

A note on a fast breakdown-free algorithm for computing the determinants and the permanents of k-tridiagonal matrices. - Tomohiro Sogabe; Fatih Yilmaz (Appl. Math. Comput., 2014)

BiCR-type methods for families of shifted linear systems. - Xian-Ming Gu; Ting-Zhu Huang; Jing Meng; Tomohiro Sogabe; Hou-Biao Li; Liang Li 001 (Comput. Math. Appl., 2014)

An Extension of Two Conjugate Direction Methods to Markov Chain Problems. - Chun Wen; Ting-Zhu Huang; Tomohiro Sogabe (Comput. Informatics, 2015)

IDR(s) for solving shifted nonsymmetric linear systems. - Lei Du; Tomohiro Sogabe; Shaoliang Zhang (J. Comput. Appl. Math., 2015)

A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems. - Jiteng Jia; Tomohiro Sogabe; Sumei Li (J. Comput. Appl. Math., 2015)

An initial guess of Newton's method for the matrix square root based on a sphere constrained optimization problem. - Sho Mizuno; Yosuke Moriizumi; Tsuyoshi Sasaki Usuda; Tomohiro Sogabe (JSIAM Lett., 2016)

On The Pfaffians and Determinants of Some Skew-Centrosymmetric Matrices. - Fatih Yilmaz; Tomohiro Sogabe; Emrullah Kirklar (J. Integer Seq., 2017)

A fast algorithm for solving tridiagonal quasi-Toeplitz linear systems. - Lei Du; Tomohiro Sogabe; Shao-Liang Zhang (Appl. Math. Lett., 2018)

On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems. - Yuto Miyatake; Tomohiro Sogabe; Shao-Liang Zhang (J. Comput. Appl. Math., 2018)

On a relationship between the T-congruence Sylvester equation and the Lyapunov equation. - Masaya Oozawa; Tomohiro Sogabe; Yuto Miyatake; Shao-Liang Zhang (J. Comput. Appl. Math., 2018)

Solution of the k-th eigenvalue problem in large-scale electronic structure calculations. - Dongjin Lee; Takeo Hoshi; Tomohiro Sogabe; Yuto Miyatake; Shao-Liang Zhang (J. Comput. Phys., 2018)

Relation between the T-congruence Sylvester equation and the generalized Sylvester equation. - Yuki Satake; Masaya Oozawa; Tomohiro Sogabe; Yuto Miyatake; Tomoya Kemmochi; Shao-Liang Zhang (Appl. Math. Lett., 2019)

Modified Strang splitting for semilinear parabolic problems. - Kosuke Nakano; Tomoya Kemmochi; Yuto Miyatake; Tomohiro Sogabe; Shao-Liang Zhang (JSIAM Lett., 2019)

A thick-restart Lanczos type method for Hermitian $J$-symmetric eigenvalue problems. - Ken-Ichi Ishikawa; Tomohiro Sogabe (CoRR, 2020)

K$ω$ - Open-source library for the shifted Krylov subspace method. - Takeo Hoshi; Mitsuaki Kawamura; Kazuyoshi Yoshimi; Yuichi Motoyama; Takahiro Misawa; Youhei Yamaji; Synge Todo; Naoki Kawashima; Tomohiro Sogabe (CoRR, 2020)

Computing the matrix fractional power based on the double exponential formula. - Fuminori Tatsuoka; Tomohiro Sogabe; Yuto Miyatake; Tomoya Kemmochi; Shao-Liang Zhang (CoRR, 2020)

Algorithms for the computation of the matrix logarithm based on the double exponential formula. - Fuminori Tatsuoka; Tomohiro Sogabe; Yuto Miyatake; Shao-Liang Zhang (J. Comput. Appl. Math., 2020)

Adaptive SOR methods based on the Wolfe conditions. - Yuto Miyatake; Tomohiro Sogabe; Shao-Liang Zhang (Numer. Algorithms, 2020)

On a transformation of the ∗-congruence Sylvester equation for the least squares optimization. - Yuki Satake; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (Optim. Methods Softw., 2020)

Quantum algorithm for matrix functions by Cauchy's integral formula. - Souichi Takahira; Asuka Ohashi; Tomohiro Sogabe; Tsuyoshi Sasaki Usuda (Quantum Inf. Comput., 2020)

Numerical Algorithms for Computing an Arbitrary Singular Value of a Tensor Sum. - Asuka Ohashi; Tomohiro Sogabe (Axioms, 2021)

Adaptive projected SOR algorithms for nonnegative quadratic programming. - Yuto Miyatake; Tomohiro Sogabe (CoRR, 2021)

Kω - Open-source library for the shifted Krylov subspace method of the form (zI-H)x=b. - Takeo Hoshi; Mitsuaki Kawamura; Kazuyoshi Yoshimi; Yuichi Motoyama; Takahiro Misawa; Youhei Yamaji; Synge Todo; Naoki Kawashima; Tomohiro Sogabe (Comput. Phys. Commun., 2021)

A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves. - Eiji Miyazaki; Tomoya Kemmochi; Tomohiro Sogabe; Shao-Liang Zhang (CoRR, 2022)

Quantum algorithms based on the block-encoding framework for matrix functions by contour integrals. - Souichi Takahira; Asuka Ohashi; Tomohiro Sogabe; Tsuyoshi Sasaki Usuda (Quantum Inf. Comput., 2022)

Computing the matrix exponential with the double exponential formula. - Fuminori Tatsuoka; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (CoRR, 2023)

Matrix equation representation of convolution equation and its unique solvability. - Yuki Satake; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (CoRR, 2023)

Tensor product-type methods for solving Sylvester tensor equations. - Jing Niu; Tomohiro Sogabe; Lei Du; Tomoya Kemmochi; Shao-Liang Zhang (Appl. Math. Comput., 2023)

Shifted LOPBiCG: A locally orthogonal product-type method for solving nonsymmetric shifted linear systems based on Bi-CGSTAB. - Ren-Jie Zhao; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (Numer. Linear Algebra Appl., 2024)

A preconditioning technique of Gauss-Legendre quadrature for the logarithm of symmetric positive definite matrices. - Fuminori Tatsuoka; Tomohiro Sogabe; Tomoya Kemmochi; Shao-Liang Zhang (Appl. Math. Lett., 2025)

A tensor Alternating Anderson-Richardson method for solving multilinear systems with M-tensors. - Jing Niu; Lei Du; Tomohiro Sogabe; Shao-Liang Zhang (J. Comput. Appl. Math., 2025)