ON SOLUTIONS OF MATRIX EQUATION AXAT ＋ BYBT=C

作     者：Yuan-beiDeng Xi-yanHu 

作者机构：ICMSECAcademyofMathematicsandSystemSciencesChineseAcademyofSciencesBeijing100080China CollegeofMathematicsandEconometricsHunanUniversityChangsha310082China 

出 版 物：《Journal of Computational Mathematics》 (计算数学（英文）)

年 卷 期：2005年第23卷第1期

页      面：17-26页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：国家自然科学基金 

主　　题：matrix equation matrix norm QSVD constrained condition optimal problem 

摘      要：By making use of the quotient singular value decomposition (QSVD) of a matrix pair,this paper establishes the necessary and sufficient conditions for the existence of and the expressions for the general solutions of the linear matrix equation AXA^T+BYB^T=C with the unknown X and Y, which may be both symmetric, skew-symmetric, nonnegativede finite, positive definite or some cross combinations respectively. Also, the solutions of some optimal problems are derived.