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dc.contributor.author
Berger, Thomas  
dc.contributor.author
Giribet, Juan Ignacio  
dc.contributor.author
Martinez Peria, Francisco Dardo  
dc.contributor.author
Trunk, Carsten Joachim  
dc.date.available
2020-06-17T20:01:15Z  
dc.date.issued
2019-03  
dc.identifier.citation
Berger, Thomas; Giribet, Juan Ignacio; Martinez Peria, Francisco Dardo; Trunk, Carsten Joachim; On a class of non-Hermitian matrices with positive definite Schur complements; American Mathematical Society; Proceedings of the American Mathematical Society; 147; 6; 3-2019; 2375-2388  
dc.identifier.issn
0002-9939  
dc.identifier.uri
http://hdl.handle.net/11336/107578  
dc.description.abstract
Given a Hermitian matrices A∈C^n×n and D∈C^m×m, and k > 0, we characterize under which conditions there exists a matrix K∈C^n×m with ∥K∥ < k such that the non-Hermitian block-matrix [AK∗A−AKD] has a positive (semi-) definite Schur complement with respect to its submatrix A. Additionally, we show that K can be chosen such that diagonalizability of the block-matrix is guaranteed and we compute its spectrum. Moreover, we show a connection to the recently developed frame theory for Krein spaces.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
FRAMES  
dc.subject
KREIN SPACES  
dc.subject
COMPLEMENTO DE SCHUR  
dc.subject
OPERATOR DE CORTO-CIRCUITO  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On a class of non-Hermitian matrices with positive definite Schur complements  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-05-27T16:39:52Z  
dc.identifier.eissn
1088-6826  
dc.journal.volume
147  
dc.journal.number
6  
dc.journal.pagination
2375-2388  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Providence  
dc.description.fil
Fil: Berger, Thomas. Universitat Hamburg; Alemania  
dc.description.fil
Fil: Giribet, Juan Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad de Buenos Aires. Facultad de Ingeniería. Departamento de Electronica; Argentina  
dc.description.fil
Fil: Martinez Peria, Francisco Dardo. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina  
dc.description.fil
Fil: Trunk, Carsten Joachim. Technische Universitat Ilmenau. Institut Fur Mathematik; Alemania  
dc.journal.title
Proceedings of the American Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ams.org/journals/proc/2019-147-06/S0002-9939-2019-14412-9/  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/ 10.1090/proc/14412  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1807.08591  

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