61 citations · 190 across the 32 of their papers we have counts for
3 papers · 1 filter
Computing the matrix fractional power with the double exponential formula
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake +2
Two quadrature-based algorithms for computing the matrix fractional power are presented in this paper. These algorithms are based on the double exponential (DE) formula, whic…
K -- Open-source library for the shifted Krylov subspace method of the form
Takeo Hoshi, Mitsuaki Kawamura, Kazuyoshi Yoshimi +6
We develop K, an open-source linear algebra library for the shifted Krylov subspace methods. The methods solve a set of shifted linear equations $(z_k I-H)x^{(k)}=b\, (k=0,1,2,.…
A thick-restart Lanczos type method for Hermitian -symmetric eigenvalue problems
Ken-Ichi Ishikawa, Tomohiro Sogabe
A thick-restart Lanczos type algorithm is proposed for Hermitian -symmetric matrices. Since Hermitian -symmetric matrices possess doubly degenerate spectra or doubly multiple…