| 矩阵方程组(AX=B,XC=D)的Hermitian反自反（反Hermitian反自反）最小二乘解及其最佳逼近 |
| |
| 引用本文： | 周硕,王霖,王雯.矩阵方程组(AX=B,XC=D)的Hermitian反自反（反Hermitian反自反）最小二乘解及其最佳逼近[J].吉林大学学报(理学版),2012,50(5):875-880. |
| |
| 作者姓名： | 周硕 王霖 王雯 |
| |
| 作者单位： | 东北电力大学 理学院, 吉林 吉林 132012 |
| |
| 基金项目： | 国家自然科学基金(批准号:11072085);吉林省自然科学基金(批准号:201115180) |
| |
| 摘 要： | 研究矩阵方程组(AX=B, XC=D)的Hermitian反自反(反Hermitian反自反)最小二乘解. 利用分块矩阵和Hermitian反自反(反Hermitian反自反)矩阵的性质, 得到了解的一般表达式, 并研究了与其相关的任意给定矩阵的最佳逼近问题.
|
| 关 键 词： | 矩阵方程组 Hermitian反自反矩阵 反Hermitian反自反矩阵 最小二乘解 最佳逼近 |
| 收稿时间： | 2012-03-27 |
Least Squares Solutions of Matrix Equations AX=B,XC=D for Hermitian Anti-reflexive(Anti-Hermitian Anti-reflexive) Matricesand and Its Approximation |
| |
| ZHOU Shuo,WANG Lin,WANG Wen.Least Squares Solutions of Matrix Equations AX=B,XC=D for Hermitian Anti-reflexive(Anti-Hermitian Anti-reflexive) Matricesand and Its Approximation[J].Journal of Jilin University: Sci Ed,2012,50(5):875-880. |
| |
| Authors: | ZHOU Shuo WANG Lin WANG Wen |
| |
| Institution: | College of Science, Northeast Dianli University, Jilin 132012, Jilin Province, China |
| |
| Abstract: | Hermitian anti-reflexive(anti-Hermitian anti-reflexive) least squares solutions of matrix equations AX=B,XC=D were considered.With special properties of partitioned matrices and Hermitian anti-reflexive(anti-Hermitian anti-reflexive) matrices,the general expression of the solution was obtained.Moreover,the related optimal approximation problem to a given matrix over the solution set was considered. |
| |
| Keywords: | matrix equations Hermitian anti-reflexive matrix anti-Hermitian anti-reflexive matrix least squares solution optimal approximation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
