On matrix polynomials with the same finite and infinite elementary divisors

A criterion is presented that characterizes when two matrix polynomials of any size, rank and degree have the same finite and infinite elementary divisors. This characterization inherits a coprimeness condition of the extended unimodular equivalence defined by Pugh and Shelton [17]in the set of real...

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Autores: Amparan Larrabaster, Miren Agurtzane, Marcaida Bengoechea, Silvia, Zaballa Tejada, Juan Bernardo
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/71545
Acceso en línea:http://hdl.handle.net/10810/71545
Access Level:acceso abierto
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spelling On matrix polynomials with the same finite and infinite elementary divisorsAmparan Larrabaster, Miren AgurtzaneMarcaida Bengoechea, SilviaZaballa Tejada, Juan BernardoA criterion is presented that characterizes when two matrix polynomials of any size, rank and degree have the same finite and infinite elementary divisors. This characterization inherits a coprimeness condition of the extended unimodular equivalence defined by Pugh and Shelton [17]in the set of real or complex matrix polynomials satisfying the constraint that the difference between the number of rows and columns is constant. This extended unimodular equivalence is first generalized to matrices of any size with elements in any principal ideal domain.Elsevier202520252016info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/71545reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://doi.org/10.1016/j.laa.2016.10.002info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/© 2016 Elsevier under CC BY-NC-ND licenseoai:addi.ehu.eus:10810/715452026-06-18T09:23:17Z
dc.title.none.fl_str_mv On matrix polynomials with the same finite and infinite elementary divisors
title On matrix polynomials with the same finite and infinite elementary divisors
spellingShingle On matrix polynomials with the same finite and infinite elementary divisors
Amparan Larrabaster, Miren Agurtzane
title_short On matrix polynomials with the same finite and infinite elementary divisors
title_full On matrix polynomials with the same finite and infinite elementary divisors
title_fullStr On matrix polynomials with the same finite and infinite elementary divisors
title_full_unstemmed On matrix polynomials with the same finite and infinite elementary divisors
title_sort On matrix polynomials with the same finite and infinite elementary divisors
dc.creator.none.fl_str_mv Amparan Larrabaster, Miren Agurtzane
Marcaida Bengoechea, Silvia
Zaballa Tejada, Juan Bernardo
author Amparan Larrabaster, Miren Agurtzane
author_facet Amparan Larrabaster, Miren Agurtzane
Marcaida Bengoechea, Silvia
Zaballa Tejada, Juan Bernardo
author_role author
author2 Marcaida Bengoechea, Silvia
Zaballa Tejada, Juan Bernardo
author2_role author
author
description A criterion is presented that characterizes when two matrix polynomials of any size, rank and degree have the same finite and infinite elementary divisors. This characterization inherits a coprimeness condition of the extended unimodular equivalence defined by Pugh and Shelton [17]in the set of real or complex matrix polynomials satisfying the constraint that the difference between the number of rows and columns is constant. This extended unimodular equivalence is first generalized to matrices of any size with elements in any principal ideal domain.
publishDate 2016
dc.date.none.fl_str_mv 2016
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/71545
url http://hdl.handle.net/10810/71545
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1016/j.laa.2016.10.002
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
© 2016 Elsevier under CC BY-NC-ND license
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
© 2016 Elsevier under CC BY-NC-ND license
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812455

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