摘要
This paper discusses the solutions of the linear matrix equation BT X B=Don some linear manifolds.Some necessary and sufficient conditions for the existenceof the solution and the expression of the general solution are given.And also someoptimal approximation solutions are discussed.
This paper discusses the solutions of the linear matrix equation BTXB = D on some linear manifolds. Some necessary and sufficient conditions for the existence of the solution and the expression of the general solution are given. And also some optimal approximation solutions are discussed.
基金
This work was supposed by the National Nature Science Foundation of China
关键词
半定解
线性矩阵方程
线性流形
半定矩阵
正交矩阵
matrix equation, matrix norm, linear manifold, symmetric (positive semidefinite) matrix , optimal approximation
