理论数学

Vol.5 No.6 (November 2015)

矩阵方程AX+XTB=C的解
Study on the Solvability of Matrix Equation AX+XTB=C

 

作者:

赵琳琳 , 王金婵 :德州学院数学科学学院,山东 德州

 

关键词:

矩阵方程可解性广义逆Matrix Equation Solvability Generalized Inverse

 

摘要:

利用矩阵分解,结合矩阵广义逆理论,研究了矩阵方程AX+XTB=C有解的条件,得到了方程有解时解的一般表达式。

The problem of the solvability for the matrix equation AX+XTB=C is studied by using the ma-trix decomposition and its Moore-Penrose generalized inverse. Some solvability conditions are obtained and the general expression of its solution is given.

文章引用:

赵琳琳 , 王金婵 (2015) 矩阵方程AX+XTB=C的解。 理论数学, 5, 255-258. doi: 10.12677/PM.2015.56036

 

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