Artículo

A matrix formula for Schur complements of nonnegative selfadjoint linear relations

Contino, MaximilianoIcon ; Maestripieri, Alejandra LauraIcon ; Marcantognini Palacios, Stefania Alma MaríaIcon
Fecha de publicación: 12/2022
Editorial: Elsevier Science Inc.
Revista: Linear Algebra and its Applications
ISSN: 0024-3795
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

If a nonnegative selfadjoint linear relation A in a Hilbert space and a closed subspace S are assumed to satisfy that the domain of A is invariant under the orthogonal projector onto S, then A admits a particular matrix representation with respect to the decomposition S⊕S⊥. This matrix representation of A is used to give explicit formulae for the Schur complement of A on S as well as the S-compression of A.
Palabras clave: LINEAR RELATIONS , SCHUR COMPLEMENT , SHORTED OPERATORS , UNBOUNDED SELFADJOINT OPERATORS
 
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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/11336/203181
URL: https://www.sciencedirect.com/science/article/abs/pii/S0024379522003214?via%3Dih
DOI: http://dx.doi.org/10.1016/j.laa.2022.09.003
Colecciones
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Contino, Maximiliano; Maestripieri, Alejandra Laura; Marcantognini Palacios, Stefania Alma María; A matrix formula for Schur complements of nonnegative selfadjoint linear relations; Elsevier Science Inc.; Linear Algebra and its Applications; 654; 12-2022; 143-176
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