一类矩阵方程的对称解与反对称解  

Symmetric and Anti-symmetric Solutions of One Class Matrix Equation

作　　者：臧正松[1] 

机构地区：[1]江苏科技大学数理系,江苏镇江212005

出　　处：《华东船舶工业学院学报》2004年第4期41-45,共5页Journal of East China Shipbuilding Institute(Natural Science Edition)

摘　　要：讨论了矩阵方程AX±XAT=D(A为正规矩阵)及AX±XAT=0的对称解和反对称解,并给出了有解的条件及解的通式。The following matrix equation is considered:WTAX±XA^T=D(where A is normal matrix) and AX±XA^T=0,the conditions for the existence of symmetric and anti-symmetric solutions are studied,the explicit solutions of the equations are also given.

关 键 词：矩阵方程 矩阵分解 对称解 反对称解 

分 类 号：O151.21[理学—数学]