关于矩阵方程组AX=C,XB=D的最小二乘解和极小范数最小二乘解
Least squares solution and minimum-norm least-squares solution of matrix equations AX=C,XB=D
尤兴华 1马圣容2
作者信息
- 1. 南京工程学院基础部,江苏南京 211167
- 2. 南京晓庄学院数学与信息技术学院,江苏南京 210017
- 折叠
摘要
借助Kronecker积将一般的矩阵方程组AX=C,XB=D进行巧妙变形,再利用矩阵的方块技巧和广义逆矩阵方法,给出了它们的最小二乘解以及极小范数最小二乘解.
Abstract
In this paper, by means of Kronecker product, the general matrix equation AX = C, XB = D is cleverly deformed to vector form. Then using the matrix block technique and the generalized inverse matrix method, the least squares solutions and the minimal norm least squares solution are given.
关键词
广义逆/最小二乘解/极小范数最小二乘解/Kronecker积Key words
generalized inverse/least square solution/minimum-norm least-square solution/Krone-cker product引用本文复制引用
出版年
2012
NETL
NSTL
维普
万方数据