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Algebraic linearizations of matrix polynomials

dc.contributor.authorChan, Eunice Y.S.
dc.contributor.authorCorless, Robert M.
dc.contributor.authorGonzález Vega, Laureano
dc.contributor.authorSendra Pons, Juan Rafael 
dc.contributor.authorSendra Pons, Juana 
dc.date.accessioned2021-10-14T14:11:55Z
dc.date.available2021-10-14T14:11:55Z
dc.date.issued2019-02-15
dc.identifier.bibliographicCitationChan, E.Y.S., Corless, R.M., González Vega, L., Sendra, J.R. & Sendra, J. 2019, “Algebraic linearizations of matrix polynomials”, Linear Algebra and its Applications, vol. 563, pp. 373-399.
dc.identifier.issn0024-3795
dc.identifier.urihttp://hdl.handle.net/10017/49681
dc.descriptionPart of this work was developed while R.M.Corless was visiting the University of Alcalá, in the frame of the project Giner de los Rios. We acknowledge the support of the Ontario Graduate Institution, the National Science & Engineering Research Council of Canada, the University of Alcalá, the Rotman Institute of Philosophy, the Ontario Research Centre of Computer Algebra, and Western Univ.en
dc.description.abstractWe show how to construct linearizations of matrix polynomials za(z)d0+c0, a(z)b(z), a(z) +b(z)(when deg (b(z))<deg (a(z))), and za(z)d0b(z) +c0from linearizations of the component parts, a(z)and b(z). This allows the extension to matrix polynomials of a new companion matrix construction.en
dc.description.sponsorshipMinisterio de Economía y Competitividades_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights© 2018 Elsevier
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectCompanion matricesen
dc.subjectLinearizationen
dc.subjectMatrix polynomialsen
dc.subjectBlock upper Hessenbergen
dc.titleAlgebraic linearizations of matrix polynomialsen
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.date.updated2021-10-14T14:10:57Z
dc.relation.publisherversionhttps://doi.org/10.1016/j.laa.2018.10.028
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.identifier.doi10.1016/j.laa.2018.10.028
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000030905
dc.identifier.publicationtitleLinear Algebra and Its Applications
dc.identifier.publicationvolume563
dc.identifier.publicationlastpage399
dc.identifier.publicationissue15
dc.identifier.publicationfirstpage373


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