节点文献
矩阵方程A~TXA=B的双对称解
The Bisymmetric Solutions of the Matrix Equation A~TXA=B
【摘要】 运用矩阵的奇异值分解与广义逆矩阵 ,给出了矩阵方程ATXA =B有双对称解的充分必要条件 ,并在有解的情况下 ,得出了解的一般表示 .
【Abstract】 In this paper,the bisymmetric solutions of the matrix equation A TXA=B is considered.Necessary and sufficient conditions for the existence of such solutions and their general forms are derived using the singular value decomposition and generalized inverses of matrices.
【关键词】 矩阵方程;
双对称矩阵;
奇异值分解;
广义逆矩阵;
【Key words】 matrix equation; bisymmetric matrix; singular value decomposition; generalized inverses`;
【Key words】 matrix equation; bisymmetric matrix; singular value decomposition; generalized inverses`;
- 【文献出处】 南京师大学报(自然科学版) ,Journal of Nanjing Normal University(Natural Science Edition) , 编辑部邮箱 ,2000年04期
- 【分类号】O151.21
- 【被引频次】24
- 【下载频次】77