Explicit solutions of infinite systems of linear equations from reflexive generalized inverses of finite potent endomorphisms
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DOI: 10.1016/j.laa.2018.09.004
Abstract: Abstract The aim of this work is to offer a method for computing reflexive generalized inverses of finite potent endomorphisms, that can be applied to obtain explicit solutions of infinite systems of linear equations. read more here.
Keywords: finite potent; reflexive generalized; potent endomorphisms; generalized inverses ... See more keywords
Characterizations of Outer Generalized Inverses
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DOI: 10.4153/cmb-2016-080-5
Abstract: Abstract Let $R$ be a ring and $b,c\in R$ . In this paper, we give some characterizations of the $(b,c)$ -inverse in terms of the direct sum decomposition, the annihilator, and the invertible elements. Moreover,… read more here.
Keywords: generalized inverses; characterizations outer; outer generalized;