矩阵方程AXAT=B的对称反自反最小二乘解

J4 ›› 2010, Vol. 45 ›› Issue (10): 1-3.

• 论文 • 下一篇

矩阵方程AXA^T=B的对称反自反最小二乘解

赵琳琳¹,陈果良¹,赵建立²

1.华东师范大学数学系, 上海 200241; 2.聊城大学数学科学学院, 山东聊城 252059

收稿日期:2009-12-11 出版日期:2010-10-16 发布日期:2010-10-19
作者简介:赵琳琳(1981-),女,博士研究生,研究方向为数值代数.Email:zhaolinlin0635@163.com
基金资助:
国家自然科学基金资助项目(10901056;11071079);上海市自然科学基金资助项目(09ZR1408700)

Least squares symmetric anti-reflexive solutions of the matrix equation AXA^T=B

ZHAO Lin-lin¹, CHEN Guo-liang¹, ZHAO Jian-li²

1. Department of Mathematics, East China Normal University, Shanghai 200241, China;
2. College of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China

Received:2009-12-11 Online:2010-10-16 Published:2010-10-19

摘要/Abstract

摘要：

给定对称正交矩阵P,利用矩阵的标准相关分解,研究了矩阵方程AXA^T=B的对称反自反最小二乘解,得到了最小二乘解的一般表达式。

关键词: 矩阵方程;最小二乘解;标准相关分解

Abstract:

By applying the canonical correlation decomposition of matrix pairs, the general expression of the least squares symmetric anti-reflexive solution with a given symmetric orthogonal matrix P of the matrix equation AXA^T=B is obtained.

Key words: matrix equation; least squares solution; canonical correlation decomposition

赵琳琳1,陈果良1,赵建立2. 矩阵方程AXA^T=B的对称反自反最小二乘解[J]. J4, 2010, 45(10): 1-3.

ZHAO Lin-lin1, CHEN Guo-liang1, ZHAO Jian-li2. Least squares symmetric anti-reflexive solutions of the matrix equation AXA^T=B[J]. J4, 2010, 45(10): 1-3.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

矩阵方程AXA^T=B的对称反自反最小二乘解

Least squares symmetric anti-reflexive solutions of the matrix equation AXA^T=B

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

多维度评价

本文评价

推荐阅读 0

矩阵方程AXAT=B的对称反自反最小二乘解

Least squares symmetric anti-reflexive solutions of the matrix equation AXAT=B

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 0

多维度评价

本文评价

推荐阅读 0

矩阵方程AXA^T=B的对称反自反最小二乘解

Least squares symmetric anti-reflexive solutions of the matrix equation AXA^T=B