摘要
In this paper, a class of inverse problems of matrix equation AX=B is studied on the linear manifold, the necessary and sufficient conditions for the solvability of the inverse problem and the expression of the general solution are given; at the same time, the best approximation problem is considered, the expression of the best approximate solution and the numerical method are also given. This paper extends the results in [1, 2].
In this paper, a class of inverse problems of matrix equation AX=B is studied on the linear manifold, the necessary and sufficient conditions for the solvability of the inverse problem and the expression of the general solution are given; at the same time, the best approximation problem is considered, the expression of the best approximate solution and the numerical method are also given. This paper extends the results in [1, 2].
出处
《计算数学》
CSCD
北大核心
1998年第4期371-376,共6页
Mathematica Numerica Sinica
基金
国家自然科学基金
关键词
线性流形
最佳逼近
反问题
矩阵方程
数值解
linear manifold, best approximation, inverse problem,symmetric positive
