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