上海大学学报(自然科学版) ›› 2017, Vol. 23 ›› Issue (2): 267-275.doi: 10.3969/j.issn.1007-2861.2015.02.012

• 研究论文 • 上一篇    下一篇

Common least-squares solution to some matrix equations

REHMAN Abdur1,2, WANG Qingwen1   

  1. 1. College of Sciences, Shanghai University, Shanghai 200444, China;
    2. University of Engineering & Technology Lahore, Lahore 54660, Pakistan
  • 收稿日期:2015-05-12 出版日期:2017-04-30 发布日期:2017-04-30
  • 通讯作者: WANG Qingwen, Professor, Ph.D., E-mail: wqw369@yahoo.com
  • 作者简介:WANG Qingwen, Professor, Ph.D., E-mail: wqw369@yahoo.com

Common least-squares solution to some matrix equations

  • Received:2015-05-12 Online:2017-04-30 Published:2017-04-30

摘要:

Necessary and sufficient conditions are derived for some matrix equations that have a common least-squares solution. A general expression is provided when certain resolvable conditions are satisfied. This research extends existing work in the literature.

关键词: Moore-Penrose inverse, rank

,  explicit solution,  least-squares solution ,
matrix equation

Abstract:

Necessary and sufficient conditions are derived for some matrix equations that have a common least-squares solution. A general expression is provided when certain resolvable conditions are satisfied. This research extends existing work in the literature.

Key words: explicit solution, least-squares solution , Moore-Penrose inverse, rank

,
matrix equation