[[alpha]]-[[beta]]广义逆矩阵的一个表征及其反序性

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

[[alpha]]-[[beta]]广义逆矩阵的一个表征及其反序性

邓斌, 陈果良

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

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/Abstract

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

中图分类号:

O151.21

邓斌;陈果良. [[alpha]]-[[beta]]广义逆矩阵的一个表征及其反序性[J]. 华东师范大学学报(自然科学版), 2006, 2006(1): 45-51.

DENG Bin;CHEN Guo-liang. A Characterization of the [[alpha]]-[[beta]] Generalized Inverse and Its Reverse Law(Chinese)[J]. Journal of East China Normal University(Natural Sc, 2006, 2006(1): 45-51.