Artículo

On a class of non-Hermitian matrices with positive definite Schur complements

Berger, Thomas; Giribet, Juan IgnacioIcon ; Martinez Peria, Francisco DardoIcon ; Trunk, Carsten Joachim
Fecha de publicación: 03/2019
Editorial: American Mathematical Society
Revista: Proceedings of the American Mathematical Society
ISSN: 0002-9939
e-ISSN: 1088-6826
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: FRAMES , KREIN SPACES , COMPLEMENTO DE SCHUR , OPERATOR DE CORTO-CIRCUITO
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/107578
URL: https://www.ams.org/journals/proc/2019-147-06/S0002-9939-2019-14412-9/
DOI: http://dx.doi.org/ 10.1090/proc/14412
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Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
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
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