INVESTIGADORES
RIOS Noelia BelÉn
artículos
Título:
Local extrema for Procustes problems in the set of positive definite matrices
Autor/es:
PABLO CALDERÓN; NOELIA BELÉN RIOS; MARIANO RUIZ
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Lugar: Amsterdam; Año: 2020 vol. 602 p. 252 - 263
ISSN:
0024-3795
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 on the spectrum of the matrices that achieve the equality in those inequalities. As an application, we complete some previous results concerning Procrustes problems for unitarily invariant norms in the manifold of positive definite matrices.
