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On nonsingularity and group inverse of linear combinations of generalized and hypergeneralized projectors
Authors:Yinlan Chen  Kezheng Zuo  Tao Xie
Institution:1. School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, Hubei, China
Abstract: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.
Keywords:inverse  group inverse  generalized projectors  hypergeneralized projectors
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