Core-Nilpotent decomposition and new generalized inverses of finite potent endomorphisms

DOI10.1080/03081087.2019.1578332zbMath1453.15003OpenAlexW2914349348WikidataQ114641283 ScholiaQ114641283MaRDI QIDQ5133407

Fernando Pablos Romo

Publication date: 13 November 2020

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1578332

zbMATH Keywords

core-nilpotent decompositionfinite potent endomorphismCMP inverseCR inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03) Automorphisms and endomorphisms of algebraic structures (08A35) Applications of generalized inverses (15A10)

Related Items

On the coincidence of the Drazin inverse and the Drazin-Moore-Penrose inverses, On G-Drazin inverses of finite potent endomorphisms and arbitrary square matrices, Further characterizations of the CMP inverse of matrices, On the explicit computation of the set of 1-inverses of a square matrix, On bounded finite potent operators on arbitrary Hilbert spaces, Drazin-star and star-Drazin inverses of bounded finite potent operators on Hilbert spaces, Core-nilpotent endomorphisms of infinite-dimensional vector spaces, Group inverse of finite potent endomorphisms on arbitrary vector spaces, On Drazin-Moore-Penrose inverses of finite potent endomorphisms, Explicit solutions of non-homogeneous difference equations from finite potent endomorphisms

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