The group inverse of extended symmetric and periodic Jacobi matrices

In this work, we explicitly compute the group inverse of symmetric and periodic Jacobi matrices with constant elements that have been extended by adding a row and a column conveniently de ned. For this purpose, we interpret such matrices as the combinatorial Laplacian of a non-complete wheel that ha...

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Detalles Bibliográficos
Autor: Gago Álvarez, Silvia|||0000-0002-0869-6079
Tipo de recurso: informe técnico
Fecha de publicación:2016
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:2117/124693
Acceso en línea:https://hdl.handle.net/2117/124693
Access Level:acceso abierto
Palabra clave:Algebras, Linear
Symmetric and Circulant Matrices
Inverses
Chebyshev polynomials
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
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oai_identifier_str oai:upcommons.upc.edu:2117/124693
network_acronym_str ES
network_name_str España
repository_id_str
spelling The group inverse of extended symmetric and periodic Jacobi matricesGago Álvarez, Silvia|||0000-0002-0869-6079Algebras, LinearSymmetric and Circulant MatricesInversesChebyshev polynomialsÀlgebra linealÀrees temàtiques de la UPC::Matemàtiques i estadísticaIn this work, we explicitly compute the group inverse of symmetric and periodic Jacobi matrices with constant elements that have been extended by adding a row and a column conveniently de ned. For this purpose, we interpret such matrices as the combinatorial Laplacian of a non-complete wheel that has been obtained by adding a vertex to a cycle and some edges conveniently chosen. The obtained group inverse is an incomplete block matrix with a block Toeplitz structure. In addition, we obtain the e ffective resistances and the Kirchhoff index of non-complete wheels.20162016-02-0220182018-11-20reporthttp://purl.org/coar/resource_type/c_93fcAOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/124693reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1246932026-05-27T15:37:01Z
dc.title.none.fl_str_mv The group inverse of extended symmetric and periodic Jacobi matrices
title The group inverse of extended symmetric and periodic Jacobi matrices
spellingShingle The group inverse of extended symmetric and periodic Jacobi matrices
Gago Álvarez, Silvia|||0000-0002-0869-6079
Algebras, Linear
Symmetric and Circulant Matrices
Inverses
Chebyshev polynomials
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short The group inverse of extended symmetric and periodic Jacobi matrices
title_full The group inverse of extended symmetric and periodic Jacobi matrices
title_fullStr The group inverse of extended symmetric and periodic Jacobi matrices
title_full_unstemmed The group inverse of extended symmetric and periodic Jacobi matrices
title_sort The group inverse of extended symmetric and periodic Jacobi matrices
dc.creator.none.fl_str_mv Gago Álvarez, Silvia|||0000-0002-0869-6079
author Gago Álvarez, Silvia|||0000-0002-0869-6079
author_facet Gago Álvarez, Silvia|||0000-0002-0869-6079
author_role author
dc.subject.none.fl_str_mv Algebras, Linear
Symmetric and Circulant Matrices
Inverses
Chebyshev polynomials
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Algebras, Linear
Symmetric and Circulant Matrices
Inverses
Chebyshev polynomials
Àlgebra lineal
Àrees temàtiques de la UPC::Matemàtiques i estadística
description In this work, we explicitly compute the group inverse of symmetric and periodic Jacobi matrices with constant elements that have been extended by adding a row and a column conveniently de ned. For this purpose, we interpret such matrices as the combinatorial Laplacian of a non-complete wheel that has been obtained by adding a vertex to a cycle and some edges conveniently chosen. The obtained group inverse is an incomplete block matrix with a block Toeplitz structure. In addition, we obtain the e ffective resistances and the Kirchhoff index of non-complete wheels.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-02-02
2018
2018-11-20
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/124693
url https://hdl.handle.net/2117/124693
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
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score 15.301603

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