P-(skew)symmetric common solutions to a pair of quaternion matrix equations

An n × n quaternion matrix A is termed P-symmetric (or P-skewsymmetric) if A = PAP (or A = − PAP), where P is an n × n nontrivial quaternion involution. In this paper, we first establish necessary and sufficient conditions for the existence and the expression of the general solution to the system of...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 195; no. 2; pp. 721 - 732
Main Authors:	Wang, Qing-Wen, Chang, Hai-Xia, Lin, Chun-Yan
Format:	Journal Article
Language:	English
Published:	New York, NY Elsevier Inc 01.02.2008 Elsevier
Subjects:	Algebra Exact sciences and technology Finite differences and functional equations Functional analysis Linear and multilinear algebra, matrix theory Mathematical analysis Mathematics Moore–Penrose inverse Numerical analysis Numerical analysis. Scientific computation P-skewsymmetric matrix P-symmetric matrix Quaternion matrix Sciences and techniques of general use System of matrix equations P-symmetric matrix Quaternion matrix Moore–Penrose inverse P-skewsymmetric matrix System of matrix equations Numerical analysis Necessary and sufficient condition Moore Penrose inverse Applied mathematics Symmetric matrix Matrix equation Moore-Penrose inverse Equation system
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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