Spectral shorted matrices
Given a n × n positive semidefinite matrix A and a subspace script S sign of ℂn, ∑(script S sign, A) denotes the shorted matrix of A to script S sign. We consider the notion of spectral shorted matrix ρ(script S sign, A) = limm→∞ ∑(script S sign, Am)1/m. Wecompletely characterize this martix in term...
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todo:paper_00243795_v381_n1-3_p197_Antezana2023-10-03T14:34:45Z Spectral shorted matrices Antezana, J. Corach, G. Stojanoff, D. Positive matrices Shorted matrix Spectral order Eigenvalues and eigenfunctions Mathematical operators Mathematical transformations Vectors Positive matrices Shorted matrix Spectral order Matrix algebra Given a n × n positive semidefinite matrix A and a subspace script S sign of ℂn, ∑(script S sign, A) denotes the shorted matrix of A to script S sign. We consider the notion of spectral shorted matrix ρ(script S sign, A) = limm→∞ ∑(script S sign, Am)1/m. Wecompletely 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. © 2003 Elsevier Inc. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00243795_v381_n1-3_p197_Antezana |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Positive matrices Shorted matrix Spectral order Eigenvalues and eigenfunctions Mathematical operators Mathematical transformations Vectors Positive matrices Shorted matrix Spectral order Matrix algebra |
| spellingShingle |
Positive matrices Shorted matrix Spectral order Eigenvalues and eigenfunctions Mathematical operators Mathematical transformations Vectors Positive matrices Shorted matrix Spectral order Matrix algebra Antezana, J. Corach, G. Stojanoff, D. Spectral shorted matrices |
| topic_facet |
Positive matrices Shorted matrix Spectral order Eigenvalues and eigenfunctions Mathematical operators Mathematical transformations Vectors Positive matrices Shorted matrix Spectral order Matrix algebra |
| description |
Given a n × n positive semidefinite matrix A and a subspace script S sign of ℂn, ∑(script S sign, A) denotes the shorted matrix of A to script S sign. We consider the notion of spectral shorted matrix ρ(script S sign, A) = limm→∞ ∑(script S sign, Am)1/m. Wecompletely 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. © 2003 Elsevier Inc. All rights reserved. |
| format |
JOUR |
| author |
Antezana, J. Corach, G. Stojanoff, D. |
| author_facet |
Antezana, J. Corach, G. Stojanoff, D. |
| author_sort |
Antezana, J. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00243795_v381_n1-3_p197_Antezana |
| work_keys_str_mv |
AT antezanaj spectralshortedmatrices AT corachg spectralshortedmatrices AT stojanoffd spectralshortedmatrices |
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1782027275172052992 |