Results 11 to 20 of about 131 (126)

ON A POWER OF THE COMPANION MATRIX

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: In this study, we have given some results which have computed power of the companion matrix and the algorithms which are based on these results. So we also have given numerical examples using these algorithms.
Kemal AYDIN
doaj   +1 more source

AN ANTHOLOGY OF THE DISTINGUISHED ACHIEVEMENTS IN SCIENCE AND TECHNIQUE. PART 52: ROCKET-SPACE TECHNOLOGY DESIGNER MIKHAIL YANGEL AND HIS ACCOMPLISHMENTS IN MISSILE DESIGN [PDF]

open access: yesElectrical engineering & Electromechanics, 2019
Purpose. Preparation of short scientifically-historical essay about the distinguished designer of domestic |space-rocket technique and one of basic creators of missiles for a Soviet rocket-nuclear «shield» Mikhail Kuzmich Yangel. Methodology.
M. I. Baranov
doaj   +2 more sources

An extension of Leverrier-Faddeev algorithm using a basis of classical orthogonal polynomials [PDF]

open access: yes, 2004
20 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C45, 15A15.MR#: MR2122756 (2005i:42040)Zbl#: Zbl 1088.42015In this paper, the Leverrier-Faddeev algorithm is extended in order to compute both the determinant a(s) and the adjoint B(s) of ...
Hernández, Javier   +1 more
core   +3 more sources

An Algorithm for the Matrix Lambert $W$ Function [PDF]

open access: yes, 2014
. An algorithm is proposed for computing primary matrix Lambert W functions of a square matrix A, which are solutions of the matrix equation WeW = A. The algorithm employs the Schur decomposition and blocks the triangular form in such a way that Newton’s
Higham, Nicholas J.   +6 more
core   +1 more source

Bounds for the Z-eigenpair of general nonnegative tensors

open access: yesOpen Mathematics, 2016
In this paper, we consider the Z-eigenpair of a tensor. A lower bound and an upper bound for the Z-spectral radius of a weakly symmetric nonnegative irreducible tensor are presented.
Liu Qilong, Li Yaotang
doaj   +1 more source

Derivative and higher-order Cauchy integral formula of matrix functions

open access: yesOpen Mathematics, 2021
The derivative of a nn-order matrix function on the complex field is usually defined as a n2{n}^{2}-order matrix, which is not suitable for generalizing Cauchy integral formula of matrix functions to its higher-order derivative form. In this paper, a new
Huang Xiaojie, Liu Zhixiu, Wu Chun
doaj   +1 more source

Determinants and Inverses of Ppoeplitz and Ppankel matrices

open access: yesSpecial Matrices, 2018
In this paper, we consider two kinds of special matrices, which are called Ppoeplitz matrix and Ppankel matrix. The idea of matrix transformation is used to compute the determinants and inverses of the Ppoeplitz matrix and the Ppankel matrix.
Zuo Baishuai, Jiang Zhaolin, Fu Deqian
doaj   +1 more source

Determinant of binary circulant matrices

open access: yesSpecial Matrices, 2019
This article gives a closed-form expression for the determinant of binary circulant matrices.
Hariprasad M.
doaj   +1 more source

Two types of hypergeometric degenerate Cauchy numbers

open access: yesOpen Mathematics, 2020
In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
doaj   +1 more source

Diagonal dominance and invertibility of matrices

open access: yesSpecial Matrices, 2023
A weakly diagonally dominant matrix may or may not be invertible. We characterize, in terms of combinatorial structure and sign pattern when such a matrix is invertible, which is the common case. Examples are given.
Johnson Charles Royal   +2 more
doaj   +1 more source

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