Artículo

Local extrema for Procrustes problems in the set of positive definite matrices

Calderón, Pablo LuisIcon ; Rios, Noelia BelénIcon ; Ruiz, Mariano AndresIcon
Fecha de publicación: 05/2020
Editorial: Elsevier Science Inc
Revista: Linear Algebra and its Applications
ISSN: 0024-3795
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

Given two positive definite matrices A and B, a well known result by Gelfand, Naimark and Lidskii establishes a relationship between the eigenvalues of A and B and those of AB by means of majorization inequalities. In this work we make a local study focused in the spectrum of the matrices that achieve the equality in those inequalities. As an application, we complete some previous results concerning Procustes problems for unitarily invariant norms in the manifold of positive definite matrices.
Palabras clave: MATRIX APPROXIMATION , LIDSKII INEQUALITIES , PROCRUSTES PROBLEMS
 
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Licencia
info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Atribución-NoComercial-SinDerivadas 2.5 Argentina (CC BY-NC-ND 2.5 AR)
Identificadores
URI: http://hdl.handle.net/11336/119952
DOI: https://doi.org/10.1016/j.laa.2020.05.021
URL: https://www.sciencedirect.com/science/article/abs/pii/S0024379520302597?via%3Dih
Colecciones
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Calderón, Pablo Luis; Rios, Noelia Belén; Ruiz, Mariano Andres; Local extrema for Procrustes problems in the set of positive definite matrices; Elsevier Science Inc; Linear Algebra and its Applications; 602; 5-2020; 252-263
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