61 citations · 114 across the 9 of their papers we have counts for
9 papers
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…
An order-N electronic structure theory with generalized eigenvalue equations and its application to a ten-million-atom system
T. Hoshi, S. Yamamoto, T. Fujiwara +2
A linear-algebraic theory called 'multiple Arnoldi method' is presented and realizes large-scale (order-N) electronic structure calculation with generalized eigen-value equations.…
Efficient and Accurate Linear Algebraic Methods for Large-scale Electronic Structure Calculations with Non-orthogonal Atomic Orbitals
H. Teng, T. Fujiwara, T. Hoshi +3
The need for large-scale electronic structure calculations arises recently in the field of material physics and efficient and accurate algebraic methods for large simultaneous line…