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Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C

Part of: General theory of linear operators Basic linear algebra

Published online by Cambridge University Press:  01 February 2008

DRAGANA S. CVETKOVIĆ-ILIĆ
DRAGANA S. CVETKOVIĆ-ILIĆ*
Affiliation:
Faculty of Sciences and Mathematics, Department of Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia (email: gagamaka@ptt.yu)
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Abstract

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In this article we consider Re-nnd solutions of the equation AXB=C with respect to X, where A,B,C are given matrices. We give necessary and sufficient conditions for the existence of Re-nnd solutions and present a general form of such solutions. As a special case when A=I we obtain the results from a paper of Groß (‘Explicit solutions to the matrix inverse problem AX=B’, Linear Algebra Appl.289 (1999), 131–134).

Keywords

matrix equationHermitian partRe-nnd solutions

MSC classification

Secondary: 15A24: Matrix equations and identities 47A62: Equations involving linear operators, with operator unknowns
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 1 , February 2008 , pp. 63 - 72
Copyright
Copyright © 2008 Australian Mathematical Society

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