Spectral shorted matrices

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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...

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Autores principales: Antezana, Jorge Abel, Corach, Gustavo, Stojanoff, Demetrio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2004
Materias:
Matemática
Positive matrices
Shorted matrix
Spectral order
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84436
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-84436
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Positive matrices
Shorted matrix
Spectral order
spellingShingle Matemática
Positive matrices
Shorted matrix
Spectral order
Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
Spectral shorted matrices
topic_facet Matemática
Positive matrices
Shorted matrix
Spectral order
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.
format Articulo
Articulo
author Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author_facet Antezana, Jorge Abel
Corach, Gustavo
Stojanoff, Demetrio
author_sort Antezana, Jorge Abel
title Spectral shorted matrices
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
publishDate 2004
url http://sedici.unlp.edu.ar/handle/10915/84436
work_keys_str_mv AT antezanajorgeabel spectralshortedmatrices
AT corachgustavo spectralshortedmatrices
AT stojanoffdemetrio spectralshortedmatrices
bdutipo_str Repositorios
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