华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (1): 45-51.

• 数学 统计学 • 上一篇    下一篇

[[alpha]]-[[beta]]广义逆矩阵的一个表征及其反序性

邓 斌, 陈果良   

  1. 华东师范大学 数学系, 上海 200062
  • 收稿日期:2003-12-24 修回日期:2004-03-24 出版日期:2006-01-25 发布日期:2006-01-25
  • 通讯作者: 邓 斌

A Characterization of the [[alpha]]-[[beta]] Generalized Inverse and Its Reverse Law(Chinese)

DENG Bin, CHEN Guo-liang   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2003-12-24 Revised:2004-03-24 Online:2006-01-25 Published:2006-01-25
  • Contact: DENG Bin

摘要： 该文讨论了[[alpha]]-[[beta]] 广义逆矩阵的一个表征,并给出了其反序性几个充分条件.

关键词: 本性严格凸范数, [[alpha]]-[[beta]] 广义逆, 表征, 反序性, 本性严格凸范数, [[alpha]]-[[beta]] 广义逆, 表征, 反序性

Abstract: This paper deals with the case when the α-βgeneralized inverse A(-1)α-β is a linear transformation, in which case we established the characterization of the α-β generalized inverse, and we also give several sufficient conditions that the reverse law holds.

Key words: [[alpha]]-[[beta]] generalized inverse, characterization, the reverse law, essentially strictly convex norms, [[alpha]]-[[beta]] generalized inverse, characterization, the reverse law

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