摘要
通过广义奇异值分解定理,得到了矩阵方程AHXA=B的自反解存在的一个充要条件,并导出了这个矩阵方程的与已知矩阵最佳逼近的自反解.
Applying the generalized singular value decomposition (GSVD) of matrices, this paper provides the necessary and sufficient conditions for the existence and the expression for the reflexive with a generalized reflection P solutions of the matrix equation A^HXA=B (A,B∈C^(n×n)). In addition, in solution set of the equation, the expression of the optimal approximation solution to the given matrix is derived.
出处
《长沙大学学报》
2004年第4期16-20,共5页
Journal of Changsha University
关键词
矩阵方程
自反矩阵
最佳逼近解
matrix equation
reflexive matrices
optimal approximation
