On solutions of the matrix equations X−AXB=C and X−AXB=C

doi:10.1016/S0024-3795(02)00633-X

Linear Algebra and its Applications

Volume 367, 1 July 2003, Pages 225-233

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Abstract

This paper studies the solutions of complex matrix equations X−AXB=C and $X−A X B=C$ , and obtains explicit solutions of the equations by the method of characteristic polynomial and a method of real representation of a complex matrix respectively.

MSC

15A24

Keywords

Matrix equation

Solution

Characteristic polynomial

Real representation

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^☆: Supported by Shanghai Priority Academic Discipline Foundation, Shanghai, China.

Linear Algebra and its Applications

On solutions of the matrix equations X−AXB=C and X−AXB=C☆

Abstract

MSC

Keywords

On solutions of the matrix equations X−AXB=C and $X−A X B=C$ ☆