摘要
通过矩阵的广义奇异值分解,得到了矩阵方程ATXA=B存在对称正交反对称解的充分必要 条件,而且还给出了解的表达式及其最佳逼近的表达式．
By applying the generalized singular value decomposition of matrices, this paper provides the necessary and sufficient conditions for the existence and the expression of the symmetric orthogonal anti- symmetric solutions of the linear matrix equation A^TXA = B. In addition, the expression of the optimal approximation solution to the given matrix is derived.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第6期130-133,共4页
Journal of Lanzhou University(Natural Sciences)
关键词
矩阵方程
对称正交反对称矩阵
最佳逼近
matrix equation
symmetric orthogonal anti-symmetric matrices
optimal approximation
