A system of real quaternion matrix equations with applications

Let H be the real quaternion algebra and H n × m denote the set of all n × m matrices over H . Let P ∈ H n × n and Q ∈ H m × m be involutions, i.e., P 2 = I , Q 2 = I . A matrix A ∈ H n × m is said to be ( P , Q ) -symmetric if A = PAQ . This paper studies the system of linear real quaternion matrix...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 431; no. 12; pp. 2291 - 2303
Main Authors:	Wang, Qing-Wen, van der Woude, J.W., Chang, Hai-Xia
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.12.2009 Elsevier
Subjects:	[formula omitted]-symmetric matrix Algebra Exact sciences and technology Inner inverse of a matrix Linear and multilinear algebra, matrix theory Mathematics Moore–Penrose inverse of a matrix Quaternion matrix Reflexive inverse of a matrix Sciences and techniques of general use System of matrix equations Quaternion matrix Moore–Penrose inverse of a matrix 15A24 15A57 15A33 15A06 Reflexive inverse of a matrix Inner inverse of a matrix 15A09 System of matrix equations ( P , Q ) -symmetric matrix Existence of solution Moore Penrose inverse Quaternion Moore-Penrose inverse of a matrix Generalized inverse Commutativity Algebra Inverse matrix Matrix equation Real matrix Operator equation (P, Q)-symmetric matrix Involution Linear system Matrix inversion Symmetric matrix Ring Solvability
ISSN:	0024-3795
Online Access:	Get full text
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