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J4 ›› 2009, Vol. 44 ›› Issue (10): 80-86.

• 论文 • 上一篇    下一篇

三矩阵左半张量积的加权Moore-Penrose

宋彩芹 赵建立 王晓东   

  1. 华东师范大学数学系, 上海 200241 
     聊城大学数学科学学院, 山东 聊城 2520 石家庄铁道学院数理系, 河北 石家庄, 050043
  • 收稿日期:2008-09-17 出版日期:2009-10-16 发布日期:2009-12-07
  • 作者简介:宋彩芹(1983),女,博士研究生,主要从事矩阵代数研究. Email:songcaiqin1983@163.com
  • 基金资助:

    国家自然科学基金资助项目(10771073)

Reverse order law for the weighted Moore-Penrose inverse of a triple left matrix semitensor product

 SONG Cai-Qin, DIAO Jian-Li, WANG Xiao-Dong   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China;School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China Department of Mathematics &Physics, Shijiazhuang Railway Institute, Shijiaz huang 050043, Hebei China
  • Received:2008-09-17 Online:2009-10-16 Published:2009-12-07

摘要:

给出了三矩阵左半张量积A⊙B⊙C的加权Moore-Penrose逆满足反序律(A⊙B⊙C)+MK=(C+LK⊕It )(B+NL⊕Ip)A+MN 的充要条件。

关键词: 矩阵左半张量积;加权Moore-Penrose逆;反序律

Abstract:

The reverse order law for the weighted Moore-Penrose inverse of a triple matrix left semitensor product is investigated, and a necessary and sufficient condition for it is given.

Key words: matrix left semi-tensor product; weighted Moore-Penrose inverse; reverse order law

中图分类号: 

  • O15.21
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