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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/84436
Ver los metadatos del registro completo
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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:UNLP2025-09-29T11:16:15Zoai: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:13292025-09-29 11:16:15.391SEDICI (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 |
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SEDICI (UNLP) |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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alira@sedici.unlp.edu.ar |
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