Artículo

On characteristic invariants of matrix pencils and linear relations

Gernandt, Hannes; Martinez Peria, Francisco DardoIcon ; Philipp, Friedrich; Trunk, Carsten Joachim
Fecha de publicación: 12/2023
Editorial: Society for Industrial and Applied Mathematics
Revista: Siam Journal On Matrix Analysis And Applications
ISSN: 0895-4798
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

The relationship between linear relations and matrix pencils is investigated. Given a linear relation, we introduce its Weyr characteristic. If the linear relation is the range (or the kernel) representation of a given matrix pencil, we show that there is a correspondence between this characteristic and the Kronecker canonical form of the pencil. This relationship is exploited to obtain estimations on the invariant characteristics of matrix pencils under rank-one perturbations.
Palabras clave: JORDAN AND KRONECKER CANONICAL FORM , LINEAR RELATIONS , MATRIX PENCILS , RANGE AND KERNEL REPRESENTATION , RANK-ONE PERTURBATIONS , SEGRE CHARACTERISTIC , WEYR CHARACTERISTIC
 
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info:eu-repo/semantics/restrictedAccess 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/11336/218435
DOI: http://dx.doi.org/10.1137/22M1535449
URL: https://epubs.siam.org/doi/10.1137/22M1535449
URL: https://arxiv.org/abs/2203.08296
Colecciones
Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Gernandt, Hannes; Martinez Peria, Francisco Dardo; Philipp, Friedrich; Trunk, Carsten Joachim; On characteristic invariants of matrix pencils and linear relations; Society for Industrial and Applied Mathematics; Siam Journal On Matrix Analysis And Applications; 44; 4; 12-2023; 1510-1539
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