您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(理学版)》

J4 ›› 2012, Vol. 47 ›› Issue (4): 121-126.

• 论文 • 上一篇    

线性流形上行反对称矩阵反问题的最小二乘解及最佳逼近

梁茂林,代丽芳,杨晓亚   

  1. 天水师范学院数学与统计学院, 甘肃 天水 741001
  • 收稿日期:2011-07-06 出版日期:2012-04-20 发布日期:2012-06-28
  • 作者简介:梁茂林(1981- ),男,硕士,讲师,研究方向为矩阵及其反问题. Email:liangml2005@163.com
  • 基金资助:

    甘肃省教育厅基金资助项目(080804;1108B03);天水师范学院中青年基金资助项目(TSA1104)

The least-squares solutions and the optimal approximation of the inverse problem for row anti-symmetric matrices on linear manifolds

LIANG Mao-lin, DAI Li-fang, YANG Xiao-ya   

  1. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001,  Gansu, China
  • Received:2011-07-06 Online:2012-04-20 Published:2012-06-28

摘要:

运用矩阵的奇异值分解方法,给出了线性流形上矩阵方程组AX=B, XC=D的最小二乘行反对称解。对于任意给定矩阵,得到了上述最小二乘解集合中的惟一最佳逼近解。

关键词: 矩阵方程;最小二乘解;行反对称矩阵;奇异值分解;最佳逼近

Abstract:

The least-squares row anti-symmetric solutions of matrix equations AX=B, XC=D on linear manifolds are obtained by using the singular value decomposition. Also, for a given matrix , the unique optimal approximation solution in the least-squares solutions set is derived.

Key words: matrix equations; least-squares solution; row anti-symmetric matrix; singular value decomposition; optimal approximation

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!