Some considerations in relation to the matrix equation \(AXB = C\)

DOI10.1007/s00009-014-0421-2zbMath1323.15010arXiv1108.2485OpenAlexW2024681646MaRDI QIDQ464343

Biljana Radičić, Branko J. Malešević

Publication date: 17 October 2014

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2485

zbMATH Keywords

consistencygeneral solutionmatrix equationPenrose's theoremreproductive equationreproductive solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Cites Work

• On additive decomposition of the Hermitian solution of the matrix equation \(AXA^* = B\)
• On additive decompositions of solutions of the matrix equation \(AXB=C\)
• Equations \(ax = c\) and \(xb = d\) in rings and rings with involution with applications to Hilbert space operators
• All solutions of finite equations
• General reproductive solutions of Postian equations
• A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
• Generalized inverses. Theory and applications.
• Commuting generalized inverse matrices
• The reflexive solutions of the matrix equation \(AX B = C\)
• Some considerations of matrix equations using the concept of reproductivity
• Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C
• Generalized Inverses of Linear Transformations
• Positive and real-positive solutions to the equationaxa*=cinC*-algebras
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