Explicit solutions of infinite linear systems associated with group inverse endomorphisms
Czechoslovak Mathematical Journal (2022)
- Volume: 72, Issue: 3, page 751-763
- ISSN: 0011-4642
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topPablos Romo, Fernando. "Explicit solutions of infinite linear systems associated with group inverse endomorphisms." Czechoslovak Mathematical Journal 72.3 (2022): 751-763. <http://eudml.org/doc/298418>.
@article{PablosRomo2022,
abstract = {The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.},
author = {Pablos Romo, Fernando},
journal = {Czechoslovak Mathematical Journal},
keywords = {infinite linear system; group inverse; Moore-Penrose inverse; EP endomorphism},
language = {eng},
number = {3},
pages = {751-763},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Explicit solutions of infinite linear systems associated with group inverse endomorphisms},
url = {http://eudml.org/doc/298418},
volume = {72},
year = {2022},
}
TY - JOUR
AU - Pablos Romo, Fernando
TI - Explicit solutions of infinite linear systems associated with group inverse endomorphisms
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 3
SP - 751
EP - 763
AB - The aim of this note is to offer an algorithm for studying solutions of infinite linear systems associated with group inverse endomorphisms. As particular results, we provide different properties of the group inverse and we characterize EP endomorphisms of arbitrary vector spaces from the coincidence of the group inverse and the Moore-Penrose inverse.
LA - eng
KW - infinite linear system; group inverse; Moore-Penrose inverse; EP endomorphism
UR - http://eudml.org/doc/298418
ER -
References
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