Article ID Journal Published Year Pages File Type
4664655 Acta Mathematica Scientia 2008 9 Pages PDF
Abstract

In this article, the generalized reflexive solution of matrix equations (AX=B, XC=D) is considered. With special properties of generalized reflexive matrices, the necessary and sufficient conditions for the solvability and the general expression of the solution are obtained. Moreover, the related optimal approximation problem to a given matrix over the solution set is solved.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)