Expressions and characterizations for the moore-penrose inverse of operators and matrices

Autores
Morillas, Patricia Mariela
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Under certain conditions, we prove that the Moore—Penrose inverse of a sum of operators is the sum of the Moore—Penrose inverses. From this, we derive expressions and characterizations for the Moore—Penrose inverse of an operator that are useful for its computation. We give formulations of them for finite matrices and study the Moore—Penrose inverse of circulant matrices and of distance matrices of certain graphs.
Fil: Morillas, Patricia Mariela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentina
Materia
MOORE-PENROSE INVERSE
CIRCULANT MATRIX
DISTANCE MATRIX
GRAPH
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/227470
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Expressions and characterizations for the moore-penrose inverse of operators and matricesMorillas, Patricia MarielaMOORE-PENROSE INVERSECIRCULANT MATRIXDISTANCE MATRIXGRAPHhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Under certain conditions, we prove that the Moore—Penrose inverse of a sum of operators is the sum of the Moore—Penrose inverses. From this, we derive expressions and characterizations for the Moore—Penrose inverse of an operator that are useful for its computation. We give formulations of them for finite matrices and study the Moore—Penrose inverse of circulant matrices and of distance matrices of certain graphs.Fil: Morillas, Patricia Mariela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; ArgentinaInt Linear Algebra Soc2023-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/227470Morillas, Patricia Mariela; Expressions and characterizations for the moore-penrose inverse of operators and matrices; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 39; 4-2023; 214-2411081-3810CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.uwyo.edu/index.php/ela/article/view/7315info:eu-repo/semantics/altIdentifier/doi/10.13001/ela.2023.7315info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T12:15:37Zoai:ri.conicet.gov.ar:11336/227470instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-29 12:15:37.74CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Expressions and characterizations for the moore-penrose inverse of operators and matrices
title Expressions and characterizations for the moore-penrose inverse of operators and matrices
spellingShingle Expressions and characterizations for the moore-penrose inverse of operators and matrices
Morillas, Patricia Mariela
MOORE-PENROSE INVERSE
CIRCULANT MATRIX
DISTANCE MATRIX
GRAPH
title_short Expressions and characterizations for the moore-penrose inverse of operators and matrices
title_full Expressions and characterizations for the moore-penrose inverse of operators and matrices
title_fullStr Expressions and characterizations for the moore-penrose inverse of operators and matrices
title_full_unstemmed Expressions and characterizations for the moore-penrose inverse of operators and matrices
title_sort Expressions and characterizations for the moore-penrose inverse of operators and matrices
dc.creator.none.fl_str_mv Morillas, Patricia Mariela
author Morillas, Patricia Mariela
author_facet Morillas, Patricia Mariela
author_role author
dc.subject.none.fl_str_mv MOORE-PENROSE INVERSE
CIRCULANT MATRIX
DISTANCE MATRIX
GRAPH
topic MOORE-PENROSE INVERSE
CIRCULANT MATRIX
DISTANCE MATRIX
GRAPH
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Under certain conditions, we prove that the Moore—Penrose inverse of a sum of operators is the sum of the Moore—Penrose inverses. From this, we derive expressions and characterizations for the Moore—Penrose inverse of an operator that are useful for its computation. We give formulations of them for finite matrices and study the Moore—Penrose inverse of circulant matrices and of distance matrices of certain graphs.
Fil: Morillas, Patricia Mariela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentina
description Under certain conditions, we prove that the Moore—Penrose inverse of a sum of operators is the sum of the Moore—Penrose inverses. From this, we derive expressions and characterizations for the Moore—Penrose inverse of an operator that are useful for its computation. We give formulations of them for finite matrices and study the Moore—Penrose inverse of circulant matrices and of distance matrices of certain graphs.
publishDate 2023
dc.date.none.fl_str_mv 2023-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/227470
Morillas, Patricia Mariela; Expressions and characterizations for the moore-penrose inverse of operators and matrices; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 39; 4-2023; 214-241
1081-3810
CONICET Digital
CONICET
url http://hdl.handle.net/11336/227470
identifier_str_mv Morillas, Patricia Mariela; Expressions and characterizations for the moore-penrose inverse of operators and matrices; Int Linear Algebra Soc; Electronic Journal Of Linear Algebra; 39; 4-2023; 214-241
1081-3810
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.uwyo.edu/index.php/ela/article/view/7315
info:eu-repo/semantics/altIdentifier/doi/10.13001/ela.2023.7315
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Int Linear Algebra Soc
publisher.none.fl_str_mv Int Linear Algebra Soc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1847427019871092736
score 13.10058

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