Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications

In this paper, we establish the formulas of the maximal and minimal ranks of the quaternion matrix expression C 4 - A 4 XB 4 where X is a variant quaternion matrix subject to quaternion matrix equations A 1 X = C 1 , XB 2 = C 2 , A 3 XB 3 = C 3 . As applications, we give a new necessary and sufficie...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 195; no. 2; pp. 733 - 744
Main Authors:	Wang, Qing-Wen, Yu, Shao-Wen, 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 Generalized inverse Linear and multilinear algebra, matrix theory Linear matrix expression Mathematical analysis Mathematics Maximal rank Minimal rank Numerical analysis Numerical analysis. Scientific computation Schur complement Sciences and techniques of general use System of quaternion matrix equations System of quaternion matrix equations Linear matrix expression Maximal rank Schur complement Generalized inverse Minimal rank Numerical analysis Necessary and sufficient condition Existence of solution Applied mathematics Matrix equation Equation system
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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