Results 41 to 50 of about 543,835 (181)

Symmetric Linearizations for Matrix Polynomials [PDF]

SIAM Journal on Matrix Analysis and Applications, 2007
The aim of this paper is to gain new insight into the vector spaces of pencils \({\mathbf L}_1(P)\) and \({\mathbf L}_2(P)\), and their intersection \(\text{DL}(P)\), that arise in connection with the linearization of the polynomial eigenvalue problem \(P(\lambda)x = 0\).
Higham, Nicholas J., Mackey, D. Steven, Mackey, Niloufer, Tisseur, Françoise   +3 more
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On Hermite-Hermite matrix polynomials [PDF]

Mathematica Bohemica, 2008
Summary: The definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented.
Metwally, M. S., Mohamed, M. T., Shehata, A.   +2 more
openaire   +1 more source

On the representation of solutions of delayed differential equations via Laplace transform

Electronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper, the unilateral Laplace transform is used to derive a closed-form formula for a solution of a system of nonhomogeneous linear differential equations with any finite number of constant delays and linear parts given by pairwise permutable ...
Michal Pospíšil, Frantisek Jaros
doaj   +1 more source

Triangularizing matrix polynomials

Linear Algebra and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taslaman, Leo, Tisseur, Françoise, Zaballa, Ion   +2 more
openaire   +1 more source

Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra

JTAM (Jurnal Teori dan Aplikasi Matematika)
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati, Siswanto Siswanto, Supriyadi Wibowo   +2 more
doaj   +1 more source

An Implementation of Image Secret Sharing Scheme Based on Matrix Operations

Mathematics, 2022
The image secret sharing scheme shares a secret image as multiple shadows. The secret image can be recovered from shadow images that meet a threshold number.
Zihan Ren, Peng Li, Xin Wang
doaj   +1 more source

Decomposable matrix polynomials

Linear Algebra and its Applications, 1993
Let \(L(z)=zI-A\), where \(A\) is an \(n\times n\) complex matrix. It is well known that \(\mathbb{C}^ n\) is the sum of subspaces of the form \(X(z_ 0)=\{x\in\mathbb{C}^ n| L(z)^{-1}x\) has singularity only at \(z_ 0\}\), where \(z_ 0\in\sigma(A)\).
Förster, K.-H., Nagy, B.
openaire   +1 more source

Uniform asymptotics of the coefficients of unitary moment polynomials

, 2011
Keating and Snaith showed that the $2k^{th}$ absolute moment of the characteristic polynomial of a random unitary matrix evaluated on the unit circle is given by a polynomial of degree $k^2$.
Chelluri R., de Bruijn N. G., Farmer D., Wilf H. S.   +3 more
core   +1 more source

An Efficient Implementation Scheme for Lattice Reduction in the List-Decoding Algorithm for the Binary Goppa Codes

IEEE Access
This paper presents a scheme that is designed for the effective implementation of lattice reduction for polynomial matrices within the list-decoding algorithm that is applied to the binary Goppa codes.
Ki-Soon Yu, Dae-Woon Lim
doaj   +1 more source

Two Variables Shivley’s Matrix Polynomials [PDF]

Symmetry, 2019
The principal object of this paper is to introduce two variable Shivley’s matrix polynomials and derive their special properties. Generating matrix functions, matrix recurrence relations, summation formula and operational representations for these polynomials are deduced.
Fuli He, Ahmed Bakhet, M. Hidan, M. Abdalla   +3 more
openaire   +2 more sources