Explicit solutions of infinite linear systems associated with group inverse endomorphisms

DOI10.21136/CMJ.2022.0143-21OpenAlexW4213328112MaRDI QIDQ5867135

Fernando Pablos Romo

Publication date: 12 September 2022

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2022.0143-21

zbMATH Keywords

Moore-Penrose inversegroup inverseinfinite linear systemEP endomorphism

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear transformations, semilinear transformations (15A04) Linear equations (linear algebraic aspects) (15A06)

Cites Work

• Two sets of new characterizations for normal and EP matrices.
• Explicit solutions of infinite systems of linear equations from reflexive generalized inverses of finite potent endomorphisms
• On the group-inverse of a linear transformation
• Pseudo-Inverses in Associative Rings and Semigroups
• Group inverse of finite potent endomorphisms on arbitrary vector spaces
• Moore-Penrose Inverse of some Linear Maps on Infinite-Dimensional Vector Spaces
• Generalized Inverses of Linear Transformations

This page was built for publication: Explicit solutions of infinite linear systems associated with group inverse endomorphisms