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dc.contributor.author
Calderón, Pablo Luis  
dc.contributor.author
Rios, Noelia Belén  
dc.contributor.author
Ruiz, Mariano Andres  
dc.date.available
2020-12-09T14:03:27Z  
dc.date.issued
2020-05  
dc.identifier.citation
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  
dc.identifier.issn
0024-3795  
dc.identifier.uri
http://hdl.handle.net/11336/119952  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science Inc  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
MATRIX APPROXIMATION  
dc.subject
LIDSKII INEQUALITIES  
dc.subject
PROCRUSTES PROBLEMS  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Local extrema for Procrustes problems in the set of positive definite matrices  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-12-02T20:11:47Z  
dc.journal.volume
602  
dc.journal.pagination
252-263  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Calderón, Pablo Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina  
dc.description.fil
Fil: Rios, Noelia Belén. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina  
dc.description.fil
Fil: Ruiz, Mariano Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina  
dc.journal.title
Linear Algebra and its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.laa.2020.05.021  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0024379520302597?via%3Dihub  

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