Y. Miyatake

activity

20152026

most citedA characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems

65 citations · 140 across the 28 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.NA2017★ 18 cited

On the equivalence between SOR-type methods for linear systems and discrete gradient methods for gradient systems

Yuto Miyatake, Tomohiro Sogabe, Shao-Liang Zhang

The iterative nature of many discretisation methods for continuous dynamical systems has led to the study of the connections between iterative numerical methods in numerical linear…

math.NA2017★ 12 cited

Solution of the $k$ -th eigenvalue problem in large-scale electronic structure calculations

Dongjin Lee, Takeo Hoshi, Tomohiro Sogabe +2

We consider computing the $k$ -th eigenvalue and its corresponding eigenvector of a generalized Hermitian eigenvalue problem of $n \times n$ large sparse matrices. In electronic stru…

On the equivalence between SOR-type methods for linear systems and discrete gradient methods for gradient systems

Solution of the k-th eigenvalue problem in large-scale electronic structure calculations

Solution of the $k$ -th eigenvalue problem in large-scale electronic structure calculations