摘要
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.
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.
基金
supported by National Natural Science Foundation of China (10571047)
and by Scientific Research Fund of Hunan Provincial Education Department of China Grant(06C235)
by Central South University of Forestry and Technology (06Y017)
by Specialized Research Fund for the Doctoral Program of Higher Education (20060532014)
