On Nonsingularity and Group Inverse of Linear Combinations of Generalized and Hypergeneralized Projectors  

作　　者：CHEN Yinlan ZUO Kezheng XIE Tao 

机构地区：[1]School of Mathematics and Statistics, Hubei Normal University

出　　处：《Wuhan University Journal of Natural Sciences》2014年第6期469-476,共8页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(11271105);the Key Research Project of Educational Department of Hubei Province(D20122202);Youth Research Project of Educational Department of Hubei Province(B20122203)

摘　　要：In this paper, some conditions for the nonsingularity and group inverses of linear combinations of generalized and hypergeneralized projectors are established. Moreover, some formulae for the inverses and group inverses of them are derived. The work of this paper extends some previous results.In this paper, some conditions for the nonsingularity and group inverses of linear combinations of generalized and hypergeneralized projectors are established. Moreover, some formulae for the inverses and group inverses of them are derived. The work of this paper extends some previous results.

关 键 词：inverse group inverse generalized projectors hypergeneralized projectors 

分 类 号：O174.41[理学—数学] TN946.1[理学—基础数学]