Mostrar el registro sencillo del ítem

dc.contributor.author
Gernandt, Hannes  
dc.contributor.author
Martinez Peria, Francisco Dardo  
dc.contributor.author
Philipp, Friedrich  
dc.contributor.author
Trunk, Carsten Joachim  
dc.date.available
2023-11-21T15:34:30Z  
dc.date.issued
2023-12  
dc.identifier.citation
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  
dc.identifier.issn
0895-4798  
dc.identifier.uri
http://hdl.handle.net/11336/218435  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Society for Industrial and Applied Mathematics  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
JORDAN AND KRONECKER CANONICAL FORM  
dc.subject
LINEAR RELATIONS  
dc.subject
MATRIX PENCILS  
dc.subject
RANGE AND KERNEL REPRESENTATION  
dc.subject
RANK-ONE PERTURBATIONS  
dc.subject
SEGRE CHARACTERISTIC  
dc.subject
WEYR CHARACTERISTIC  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On characteristic invariants of matrix pencils and linear relations  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-11-17T16:25:10Z  
dc.journal.volume
44  
dc.journal.number
4  
dc.journal.pagination
1510-1539  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Philadelphia  
dc.description.fil
Fil: Gernandt, Hannes. Technische Universität Berlin; Alemania  
dc.description.fil
Fil: Martinez Peria, Francisco Dardo. Universidad Nacional de la Plata. Facultad de Cs.exactas. Centro de Matematica 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: Philipp, Friedrich. Technische Universität Ilmenau; Alemania  
dc.description.fil
Fil: Trunk, Carsten Joachim. Technische Universität Ilmenau; Alemania  
dc.journal.title
Siam Journal On Matrix Analysis And Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1137/22M1535449  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://epubs.siam.org/doi/10.1137/22M1535449  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/2203.08296  

Archivos asociados
Tamaño: 545.1Kb
Formato: PDF
.