引用本文:

【打印本页】【HTML】【下载PDF全文】【查看/发表评论】【EndNote】【RefMan】【BibTex】

←前一篇|后一篇→

过刊浏览高级检索

本文已被：浏览 2085次下载 3051次	码上扫一扫！
分享到：微信更多字体:加大+\|默认\|缩小-
*矩阵方程AXB+CY D=E的三对角中心对称极小范数最小二乘解*
彭雪梅¹, 张爱华², 张志强³
1.武汉东湖学院基础课部, 湖北武汉 430212;2.军事经济学院基础部, 湖北武汉 430035;3.武昌工学院信息工程学院, 湖北武汉 430065

摘要:

本文研究了矩阵方程AXB + CY D=E 的三对角中心对称极小范数最小二乘解问题.利用矩阵的Kronecker 积和Moore-Penrose 广义逆方法, 得到了矩阵方程AXB + CY D=E 的三对角中心对称极小范数最小二乘解的表达式.

关键词: 三对角中心对称矩阵极小范数解最小二乘解 Moore-Penrose广义逆 Kronecker积

DOI：

分类号:O241.6

基金项目:

CENTROSYMMETRIC TRIDIAGONAL LEAST SQUARES SOLUTION OF THE MATRIX EQUATION AXB + CYD = E WITH THE LEAST NORM

PENG Xue-mei¹, ZHANG Ai-hua², ZHANG Zhi-qiang³

1.Department of Basic Courses, Wuhan Donghu University, Wuhan 430212, China;2.Department of Basic Courses, Army Military Economics Institute, Wuhan 430035, China;3.College of Information Engineering, Wuchang Institute of Technology, Wuhan 430065, China

Abstract:

In this paper, we investigate the centrosymmetric tridiagonal least squares solution of the matrix equation with the least norm. By the means of Moore-Penrose generalized inverse and Kronecker product, we obtain the expression of the centrosymmetric tridiagonal least squares solution of the matrix equation AXB + CYD = E with the least norm.

Key words: centrosymmetric tridiagonal matrix least norm solution least squares solution Moore-Penrose generalized inverse the Kronecker product