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Piao, F.X., Zhang, Q.L. and Wang, Z.F. (2007) The Solution to Matrix Equation . Journal of the Franklin Institute, 344, 1056-1062.
http://dx.doi.org/10.1016/j.jfranklin.2007.05.002

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• 标题: 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

  关键字: 矩阵方程, 可解性, 广义逆Matrix Equation, Solvability, Generalized Inverse

  期刊名称: 《Pure Mathematics》, Vol.5 No.6, 2015-11-06

  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.