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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Detalles Bibliográficos
Publicado: 2004
Materias:
Positive matrices
Shorted matrix
Spectral order
Eigenvalues and eigenfunctions
Mathematical operators
Mathematical transformations
Vectors
Matrix algebra
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v381_n1-3_p197_Antezana
http://hdl.handle.net/20.500.12110/paper_00243795_v381_n1-3_p197_Antezana
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

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