Results 61 to 70 of about 644 (117)

Numerical solution of a quadratic eigenvalue problem

, 2004
We consider the quadratic eigenvalue problem (QEP) ( 2 M + G + K)x = 0, where M = M T is positive denite, K = K T is negative denite, and G = G T . The eigenvalues of the QEP occur in quadruplets (; ; ; ) or in real or purely imaginary pairs (; ).
Chun-Hua Guo
semanticscholar   +1 more source

Twisted immanant and matrices with anticommuting entries

, 2015
This article gives a new matrix function named "twisted immanant," which can be regarded as an analogue of the immanant. This is defined for each self-conjugate partition through a "twisted" analogue of the irreducible character of the symmetric group ...
Itoh, Minoru
core   +1 more source

Cramer's rule for a class of coupled Sylvester commutative quaternion matrix equations

Demonstratio Mathematica
In this article, based on the real representation and Kronecker product, Cramer’s rule for a class of coupled Sylvester commutative quaternion matrix equations is studied and its expression is obtained.
Cai Xiaomin, Ke Yifen, Ma Changfeng
doaj   +1 more source

On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion ...
Kösal Hidayet Hüda, Akyiğit Mahmut, Tosun Murat   +2 more
doaj   +1 more source

Canonical forms, higher rank numerical range, convexity, totally isotropic subspace, matrix equations

, 2008
Results on matrix canonical forms are used to give a complete description of the higher rank numerical range of matrices arising from the study of quantum error correction.
Li, Chi-Kwong, Sze, Nung-Sing
core   +1 more source

Two iterative algorithms for solving coupled matrix equations over reflexive and anti-reflexive matrices

, 2012
An n × n real matrix P is said to be a generalized reflection matrix if PT = P and P2 = I (where PT is the transpose of P). A matrix A ∈ Rn×n is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix P if A = P A
M. Dehghan, M. Hajarian
semanticscholar   +1 more source

Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations

, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 301-309, 1993.
Fortunata Liguori, Giulia Martini, Salvatore Sessa   +2 more
wiley   +1 more source

Some Equivalence Relations and Results over the Commutative Quaternions and Their Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper, we give some equivalence relations and results over the commutative quaternions and their matrices. In this sense, consimilarity, semisimilarity, and consemisimilarity over the commutative quaternion algebra and commutative quaternion ...
Kosal Hidayet Huda, Tosun Murat
doaj   +1 more source

Analytical solution of a class of coupled second order differential‐difference equations

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 385-396, 1993.
L. Jódar, J. A. Martin Alustiza
wiley   +1 more source

Towards finding equalities involving mixed products of the Moore-Penrose and group inverses by matrix rank methodology

Demonstratio Mathematica
Given a square matrix AA, we are able to construct numerous equalities involving reasonable mixed operations of AA and its conjugate transpose A∗{A}^{\ast }, Moore-Penrose inverse A†{A}^{\dagger } and group inverse A#{A}^{\#}. Such kind of equalities can
Tian Yongge
doaj   +1 more source