61 citations · 190 across the 32 of their papers we have counts for
23 papers · 1 filter
Factorized Krylov subspace methods for solving large Sylvester equations
Yuki Satake, Takeshi Fukaya, Tomohiro Sogabe +1
Krylov subspace methods, such as the Conjugate Gradient (CG) and BiCGSTAB methods, are widely used in scientific computing for solving linear systems. In this study, we propose a n…
Error control technique of quadrature-based algorithms for the action of real powers of a Hermitian positive-definite matrix
Motohiro Otsuka, Fuminori Tatsuoka, Tomohiro Sogabe +2
This study considers quadrature-based algorithms to compute , the action of a real power of a Hermitian positive-definite matrix on a vector $ \boldsymbol{b}…
An error control framework for computing the exponential of matrices arising from the finite element discretization
Fuminori Tatsuoka, Yuto Miyatake, Tomohiro Sogabe
Several methods for computing the action of the matrix exponential are expressed by substituting into a rational appro…
A preconditioning technique of Gauss--Legendre quadrature for the logarithm of symmetric positive definite matrices
Fuminori Tatsuoka, Tomohiro Sogabe, Tomoya Kemmochi +1
This note considers the computation of the logarithm of symmetric positive definite matrices using the Gauss--Legendre (GL) quadrature. The GL quadrature becomes slow when the cond…
A tensor Alternating Anderson-Richardson method for solving multilinear systems with M-tensors
Jing Niu, Lei Du, Tomohiro Sogabe +1
It is well-known that a multilinear system with a nonsingular M-tensor and a positive right-hand side has a unique positive solution. Tensor splitting methods generalizing the clas…
Computing the matrix exponential with the double exponential formula
Fuminori Tatsuoka, Tomohiro Sogabe, Tomoya Kemmochi +1
This paper considers the computation of the matrix exponential with numerical quadrature. Although several quadrature-based algorithms have been proposed, they focus…