矩阵方程AX=B的部分对称与反对称解

PARTIAL SYMMETRIC AND ANTI SYMMETRIC SOLUTIONS ON MATRIX EQUATION AX=B

定义了部分对称矩阵和部分反对称矩阵，给出了矩阵方程ＡＸ＝Ｂ的部分对称解与部分反对称解存在的条件与解的表达式，并讨论了其解集上的一类最佳逼近问题．

The partial symmetric and anti symmetric matrix is defined, and the conditions for the solutions and expressions of the partial symmetric and anti symmetric on matrix equation AX=B are given. A kind of the best approximate problem on the set of solutions is discussed.