Spectral shorted matrices

Autores
Antezana, Jorge Abel; Corach, Gustavo; Stojanoff, Demetrio
Año de publicación
2004
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Given a n × n positive semidefinite matrix A and a subspace S of ℂn, ∑(S, A) denotes the shorted matrix of A to S. We consider the notion of spectral shorted matrix ρ(S, A) = limm→∞ ∑(S, Am)1/m. We completely characterize this martix in terms of script S sign and the spectrum and the eigenspaces of A. We show the relation of this notion with the spectral order of matrices and the Kolmogorov's complexity of A to a vector ξ ℂn.
Facultad de Ciencias Exactas
Materia
Matemática
Positive matrices
Shorted matrix
Spectral order
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/84436
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/84436
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Spectral shorted matricesAntezana, Jorge AbelCorach, GustavoStojanoff, DemetrioMatemáticaPositive matricesShorted matrixSpectral orderGiven a n × n positive semidefinite matrix A and a subspace S of ℂn, ∑(S, A) denotes the shorted matrix of A to S. We consider the notion of spectral shorted matrix ρ(S, A) = limm→∞ ∑(S, Am)1/m. We completely characterize this martix in terms of script S sign and the spectrum and the eigenspaces of A. We show the relation of this notion with the spectral order of matrices and the Kolmogorov's complexity of A to a vector ξ ℂn.Facultad de Ciencias Exactas2004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf197-217http://sedici.unlp.edu.ar/handle/10915/84436enginfo:eu-repo/semantics/altIdentifier/issn/0024-3795info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2003.10.027info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-11-12T10:40:32Zoai:sedici.unlp.edu.ar:10915/84436Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-11-12 10:40:33.128SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Spectral shorted matrices
title Spectral shorted matrices
spellingShingle Spectral shorted matrices
Antezana, Jorge Abel
Matemática
Positive matrices
Shorted matrix
Spectral order
title_short Spectral shorted matrices
title_full Spectral shorted matrices
title_fullStr Spectral shorted matrices
title_full_unstemmed Spectral shorted matrices
title_sort Spectral shorted matrices
dc.creator.none.fl_str_mv Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author Antezana, Jorge Abel
author_facet Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author_role author
author2 Corach, Gustavo
Stojanoff, Demetrio
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Positive matrices
Shorted matrix
Spectral order
topic Matemática
Positive matrices
Shorted matrix
Spectral order
dc.description.none.fl_txt_mv Given a n × n positive semidefinite matrix A and a subspace S of ℂn, ∑(S, A) denotes the shorted matrix of A to S. We consider the notion of spectral shorted matrix ρ(S, A) = limm→∞ ∑(S, Am)1/m. We completely characterize this martix in terms of script S sign and the spectrum and the eigenspaces of A. We show the relation of this notion with the spectral order of matrices and the Kolmogorov's complexity of A to a vector ξ ℂn.
Facultad de Ciencias Exactas
description Given a n × n positive semidefinite matrix A and a subspace S of ℂn, ∑(S, A) denotes the shorted matrix of A to S. We consider the notion of spectral shorted matrix ρ(S, A) = limm→∞ ∑(S, Am)1/m. We completely characterize this martix in terms of script S sign and the spectrum and the eigenspaces of A. We show the relation of this notion with the spectral order of matrices and the Kolmogorov's complexity of A to a vector ξ ℂn.
publishDate 2004
dc.date.none.fl_str_mv 2004
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/84436
url http://sedici.unlp.edu.ar/handle/10915/84436
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0024-3795
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2003.10.027
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
197-217
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 12.976206

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