61 citations · 114 across the 9 of their papers we have counts for
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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…
A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves
E. Miyazaki, T. Kemmochi, T. Sogabe +1
For fourth-order geometric evolution equations for planar curves with the dissipation of the bending energy, including the Willmore and the Helfrich flows, we consider a numerical…
A numerical method for calculating the Green's function arising from electronic structure theory
T. Sogabe, T. Hoshi, S. -L. Zhang +1
We developed a fast numerical methodfor complex symmetric shifted linear systems, which is motivated by the quantum-mechanical (electronic-structure) theory in nanoscale materials.…