On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators

A well-known result for a singular irreducible M-matrix A is that the only nonnegative vector that belongs to the range space of A is the zero vector. In this paper, we prove an analogue of this result for the Lyapunov and Stein transformations, which act on the inner product space of real symmetric...

Descripción completa

Detalles Bibliográficos
Autores: Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373, Mondal, Samir, Sivakumar, K. C.
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/409552
Acceso en línea:https://hdl.handle.net/2117/409552
https://dx.doi.org/10.1080/03081087.2024.2313633
Access Level:acceso abierto
Palabra clave:Algebras, Linear
Multilinear algebra
Matrices
M-matrix
singular irreducible M-matrix
almost monotonicity
Lyapunov operator
Stein operator
Àlgebra lineal
Àlgebra multilineal
Matrius (Àlgebra)
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
id ES_ead1d4b6fcdbe24c8e16d276298cd431
oai_identifier_str oai:upcommons.upc.edu:2117/409552
network_acronym_str ES
network_name_str España
repository_id_str
spelling On an analogue of a property of singular M-matrices for the Lyapunov and Stein operatorsEncinas Bachiller, Andrés Marcos|||0000-0001-5588-0373Mondal, SamirSivakumar, K. C.Algebras, LinearMultilinear algebraMatricesM-matrixsingular irreducible M-matrixalmost monotonicityLyapunov operatorStein operatorÀlgebra linealÀlgebra multilinealMatrius (Àlgebra)Classificació AMS::15 Linear and multilinear algebramatrix theoryÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilinealA well-known result for a singular irreducible M-matrix A is that the only nonnegative vector that belongs to the range space of A is the zero vector. In this paper, we prove an analogue of this result for the Lyapunov and Stein transformations, which act on the inner product space of real symmetric matrices.Peer ReviewedTaylor & Francis Group20242024-03-1220242024-06-11journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/409552https://dx.doi.org/10.1080/03081087.2024.2313633reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122501NB-I00 MEJORANDO LA TOMOGRAFIA DE IMPEDANCIA ELECTRICA Y LAS MEDIDAS DE CENTRALIDAD EN REDES: LA IMPORTANCIA DE TENER UN POTENCIAL ARBITRARIO.open accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4095522026-05-27T15:37:01Z
dc.title.none.fl_str_mv On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
title On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
spellingShingle On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
Algebras, Linear
Multilinear algebra
Matrices
M-matrix
singular irreducible M-matrix
almost monotonicity
Lyapunov operator
Stein operator
Àlgebra lineal
Àlgebra multilineal
Matrius (Àlgebra)
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
title_short On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
title_full On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
title_fullStr On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
title_full_unstemmed On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
title_sort On an analogue of a property of singular M-matrices for the Lyapunov and Stein operators
dc.creator.none.fl_str_mv Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
Mondal, Samir
Sivakumar, K. C.
author Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
author_facet Encinas Bachiller, Andrés Marcos|||0000-0001-5588-0373
Mondal, Samir
Sivakumar, K. C.
author_role author
author2 Mondal, Samir
Sivakumar, K. C.
author2_role author
author
dc.subject.none.fl_str_mv Algebras, Linear
Multilinear algebra
Matrices
M-matrix
singular irreducible M-matrix
almost monotonicity
Lyapunov operator
Stein operator
Àlgebra lineal
Àlgebra multilineal
Matrius (Àlgebra)
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
topic Algebras, Linear
Multilinear algebra
Matrices
M-matrix
singular irreducible M-matrix
almost monotonicity
Lyapunov operator
Stein operator
Àlgebra lineal
Àlgebra multilineal
Matrius (Àlgebra)
Classificació AMS::15 Linear and multilinear algebra
matrix theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal
description A well-known result for a singular irreducible M-matrix A is that the only nonnegative vector that belongs to the range space of A is the zero vector. In this paper, we prove an analogue of this result for the Lyapunov and Stein transformations, which act on the inner product space of real symmetric matrices.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-03-12
2024
2024-06-11
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/409552
https://dx.doi.org/10.1080/03081087.2024.2313633
url https://hdl.handle.net/2117/409552
https://dx.doi.org/10.1080/03081087.2024.2313633
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122501NB-I00 MEJORANDO LA TOMOGRAFIA DE IMPEDANCIA ELECTRICA Y LAS MEDIDAS DE CENTRALIDAD EN REDES: LA IMPORTANCIA DE TENER UN POTENCIAL ARBITRARIO.
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis Group
publisher.none.fl_str_mv Taylor & Francis Group
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869423173304320000
score 15,811543

Similares en LA Referencia