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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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,…”
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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…”
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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…”
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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…”
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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…”
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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…”
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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

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

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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…”
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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,…”
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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…”
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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…”
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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…”
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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…”
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