4.5 Article

On solutions of the matrix equations X-AXB=C and X-A(X)over-bar-B=C

Journal

LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 367, Issue -, Pages 225-233

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/S0024-3795(02)00633-X

Keywords

matrix equation; solution; characteristic polynomial; real representation

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This paper studies the solutions of complex matrix equations X - A X B = C and X - A (X) over barB = C, and obtains explicit solutions of the equations by the method of characteristic polynomial and a method of real representation of a complex matrix respectively. (C) 2003 Elsevier Science Inc. All rights reserved.

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