Search Results - "SOGABE, Tomohiro"

A note on a fast breakdown-free algorithm for computing the determinants and the permanents of k-tridiagonal matrices by Sogabe, Tomohiro, Yılmaz, Fatih

“…k-Tridiagonal matrices have attracted much attention in recent years, which are a generalization of tridiagonal matrices. In this note, a breakdown-free…”
Get full text

A fast numerical algorithm for the determinant of a pentadiagonal matrix by Sogabe, Tomohiro

“…Recently, a two-term recurrence for the determinant of a general matrix has been found [T. Sogabe, On a two-term recurrence for the determinant of a general…”
Get full text

A thick-restart Lanczos type method for Hermitian J-symmetric eigenvalue problems by Ishikawa, Ken-Ichi, Sogabe, Tomohiro

“…A thick-restart Lanczos type algorithm is proposed for Hermitian J -symmetric matrices. Since Hermitian J -symmetric matrices possess doubly degenerate spectra…”
Get full text

Solution of the k-th eigenvalue problem in large-scale electronic structure calculations by Lee, Dongjin, Hoshi, Takeo, Sogabe, Tomohiro, Miyatake, Yuto, Zhang, Shao-Liang

“…We consider computing the k-th eigenvalue and its corresponding eigenvector of a generalized Hermitian eigenvalue problem of n×n large sparse matrices. In…”
Get full text

Numerical Algorithms for Computing an Arbitrary Singular Value of a Tensor Sum by Ohashi, Asuka, Sogabe, Tomohiro

“…We consider computing an arbitrary singular value of a tensor sum: T:=In⊗Im⊗A+In⊗B⊗Iℓ+C⊗Im⊗Iℓ∈Rℓmn×ℓmn, where A∈Rℓ×ℓ, B∈Rm×m, C∈Rn×n. We focus on the…”
Get full text

Fast block diagonalization of k-tridiagonal matrices by Sogabe, Tomohiro, El-Mikkawy, Moawwad

“…In the present paper, we give a fast algorithm for block diagonalization of k-tridiagonal matrices. The block diagonalization provides us with some useful…”
Get full text

Computing the matrix exponential with the double exponential formula by Tatsuoka, Fuminori, Sogabe, Tomohiro, Kemmochi, Tomoya, Zhang, Shao-Liang

“…This article considers the computation of the matrix exponential with numerical quadrature. Although several quadrature-based algorithms have been proposed,…”
Get full text

Generalized Sherman–Morrison–Woodbury formula based algorithm for the inverses of opposite-bordered tridiagonal matrices by Jia, Ji-Teng, Sogabe, Tomohiro

“…Matrix inverse computation is one of the fundamental mathematical problems of linear algebra and has been widely used in many fields of science and…”
Get full text

Matrix equation representation of the convolution equation and its unique solvability by Satake, Yuki, Sogabe, Tomohiro, Kemmochi, Tomoya, Zhang, Shao-Liang

“…We consider the convolution equation , where and are given and is to be determined. The convolution equation can be regarded as a linear system with a…”
Get full text

Adaptive SOR methods based on the Wolfe conditions by Miyatake, Yuto, Sogabe, Tomohiro, Zhang, Shao-Liang

“…Because the expense of estimating the optimal value of the relaxation parameter in the successive over-relaxation (SOR) method is usually prohibitive, the…”
Get full text

On a two-term recurrence for the determinant of a general matrix by Sogabe, Tomohiro

“…Recently, a two-term recurrence for computing the determinant of a tridiagonal matrix has been found by El-Mikkawy [M. El-Mikkawy, A note on a three-term…”
Get full text

On a transformation of the ∗-congruence Sylvester equation for the least squares optimization by Satake, Yuki, Sogabe, Tomohiro, Kemmochi, Tomoya, Zhang, Shao-Liang

“…The -congruence Sylvester equation is the matrix equation , where , and are given, whereas is to be determined. Here, or , and (transposed) or (conjugate…”
Get full text

Shifted Conjugate-Orthogonal-Conjugate-Gradient Method and Its Application to Double Orbital Extended Hubbard Model by YAMAMOTO, Susumu, SOGABE, Tomohiro, HOSHI, Takeo, ZHANG, Shao-Liang, FUJIWARA, Takeo

Get full text

Adaptive projected SOR algorithms for nonnegative quadratic programming by Miyatake, Yuto, Sogabe, Tomohiro

Get full text

New algorithms for solving periodic tridiagonal and periodic pentadiagonal linear systems by Sogabe, Tomohiro

“…Recently, an efficient computational algorithm for solving periodic pentadiagonal linear systems has been proposed by Karawia [A.A. Karawia, A computational…”
Get full text

A new family of k-Fibonacci numbers by El-Mikkawy, Moawwad, Sogabe, Tomohiro

“…In the present paper, we give a new family of k-Fibonacci numbers and establish some properties of the relation to the ordinary Fibonacci numbers. Furthermore,…”
Get full text

Tensor product-type methods for solving Sylvester tensor equations by Niu, Jing, Sogabe, Tomohiro, Du, Lei, Kemmochi, Tomoya, Zhang, Shao-Liang

“…•Applied the idea of product-type Krylov subspace methods for solving Sylvester tensor equations, and tensor GPBiCG and tensor BiCGSTAB methods are…”
Get full text

On particular solution of ordinary differential equations with constant coefficients by Jia, Jiteng, Sogabe, Tomohiro

“…In this paper, a new method is presented for obtaining the particular solution of ordinary differential equations with constant coefficients. An explicit…”
Get full text

A generalized symbolic Thomas algorithm for the solution of opposite-bordered tridiagonal linear systems by Jia, Jiteng, Sogabe, Tomohiro, Li, Sumei

“…In the current paper, we present a generalized symbolic Thomas algorithm, that never suffers from breakdown, for solving the opposite-bordered tridiagonal…”
Get full text

Numerical algorithms for solving comrade linear systems based on tridiagonal solvers by Sogabe, Tomohiro

“…Recently, two efficient algorithms for solving comrade linear systems have been proposed by Karawia [A.A. Karawia, Two algorithms for solving comrade linear…”
Get full text