6 citations · 6 across the 4 of their papers we have counts for
4 papers
A Parallel Computing Method for the Higher Order Tensor Renormalization Group
Takumi Yamashita, Tetsuya Sakurai
In this paper, we propose a parallel computing method for the Higher Order Tensor Renormalization Group (HOTRG) applied to a -dimensional simple lattice model. Se…
A Parallel Computing Method for the Coupled-Cluster Singles and Doubles
Takumi Yamashita, Taichi Kosugi, Yu-ichiro Matsushita +1
In this paper, we present a parallel computing method for the coupled-cluster singles and doubles (CCSD) in periodic systems. The CCSD in periodic systems solves simultaneous equat…
A unified understanding of the two formulae for the traces of the inverse powers of a positive definite symmetric tridiagonal matrix
Takumi Yamashita
For an upper bidiagonal matrix where all the diagonal and the upper subdiagonal entries are positive, two subtraction-free formulae for computation of the traces $J_{M} ( B ) =…
A new subtraction-free formula for lower bounds of the minimal singular value of an upper bidiagonal matrix
Takumi Yamashita, Kinji Kimura, Yusaku Yamamoto
Traces of inverse powers of a positive definite symmetric tridiagonal matrix give lower bounds of the minimal singular value of an upper bidiagonal matrix. In a preceding work, a f…