On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
type: Item
instance of: scholarly article
title: On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
zbMATH Open document ID: 1019.15002
DOI: 10.1016/S0024-3795(02)00633-X
author: Musheng Wei
author: Tongsong Jiang
published in: Linear Algebra and its Applications
publication date: 2003-05-27T00:00:00Z
review text: The authors study the solutions of the complex matrix equations \(X-AXB=C\) (for \(A=B^*\) this is the Stein equation) and \(X-A\bar{X}B=C\). They obtain an explicit solution of the former by the method of characteristic polynomials and of the latter by the method of real representations of a complex matrix.
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 1917814
zbMATH Keywords: matrix equation
zbMATH Keywords: Stein equation
zbMATH Keywords: method of characteristic polynomial
zbMATH Keywords: method of real representations of a complex matrix
zbMATH Keywords: explicit solution
reviewed by: Vladimir P. Kostov
MaRDI profile type: Publication
cites work: Q5655243
cites work: Q5657947
cites work: Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
cites work: Inertia characteristics of self-adjoint matrix polynomials
cites work: Q4061081
description: scientific article; zbMATH DE number 1917814