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Antezana, J.; Corach, G.; Stojanoff, D. "Spectral shorted matrices" (2004) Linear Algebra and Its Applications. 381(1-3):197-217
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Abstract:

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.

Registro:

Documento: Artículo
Título:Spectral shorted matrices
Autor:Antezana, J.; Corach, G.; Stojanoff, D.
Filiación:Depto. de Matemática, FCE-UNLP, 1900 La Plata, Argentina
IAM-CONICET, 1083 Buenos Aires, Argentina
Depto. de Matemática, FI-UBA, C1063ACV, Buenos Aires, Argentina
Palabras clave:Positive matrices; Shorted matrix; Spectral order; Eigenvalues and eigenfunctions; Mathematical operators; Mathematical transformations; Vectors; Positive matrices; Shorted matrix; Spectral order; Matrix algebra
Año:2004
Volumen:381
Número:1-3
Página de inicio:197
Página de fin:217
DOI: http://dx.doi.org/10.1016/j.laa.2003.10.027
Título revista:Linear Algebra and Its Applications
Título revista abreviado:Linear Algebra Its Appl
ISSN:00243795
CODEN:LAAPA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v381_n1-3_p197_Antezana

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Citas:

---------- APA ----------
Antezana, J., Corach, G. & Stojanoff, D. (2004) . Spectral shorted matrices. Linear Algebra and Its Applications, 381(1-3), 197-217.
http://dx.doi.org/10.1016/j.laa.2003.10.027
---------- CHICAGO ----------
Antezana, J., Corach, G., Stojanoff, D. "Spectral shorted matrices" . Linear Algebra and Its Applications 381, no. 1-3 (2004) : 197-217.
http://dx.doi.org/10.1016/j.laa.2003.10.027
---------- MLA ----------
Antezana, J., Corach, G., Stojanoff, D. "Spectral shorted matrices" . Linear Algebra and Its Applications, vol. 381, no. 1-3, 2004, pp. 197-217.
http://dx.doi.org/10.1016/j.laa.2003.10.027
---------- VANCOUVER ----------
Antezana, J., Corach, G., Stojanoff, D. Spectral shorted matrices. Linear Algebra Its Appl. 2004;381(1-3):197-217.
http://dx.doi.org/10.1016/j.laa.2003.10.027