矩阵方程A^TXA=F的双对称半正定解  

The Bisymmetric Positive Semidefinite Solutions of Matrix Equation A^TXA=F

作　　者：吴筑筑[1] 

机构地区：[1]韶关学院计算机系,广东韶关512005

出　　处：《韶关学院学报》2003年第3期1-4,共4页Journal of Shaoguan University

摘　　要：讨论矩阵方程ATXA =F的双对称半正定解 。The bisymmetric positive semidefinite and positive definite solutions of the equation A TXA=F are considered.The necessary and sufficient conditions for the existence of such solutions and their general forms are derived.

关 键 词：矩阵方程 双对称矩阵 半正定矩阵 广义奇异值分解 广义逆矩阵 

分 类 号：O241[理学—计算数学] O15[理学—数学]