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Eigenvectors and minimal bases for some families of Fiedler-like linearizations

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorBueno Cachadiña, María Isabel
dc.contributor.authorTerán Vergara, Fernando de
dc.date.accessioned2015-12-11T11:38:17Z
dc.date.available2015-12-11T11:38:17Z
dc.date.issued2014
dc.description.abstractIn this paper, we obtain formulas for the left and right eigenvectors and minimal bases of some families of Fiedler-like linearizations of square matrix polynomials. In particular, for the families of Fiedler pencils, generalized Fiedler pencils and Fiedler pencils with repetition. These formulas allow us to relate the eigenvectors and minimal bases of the linearizations with the ones of the polynomial. Since the eigenvectors appear in the standard formula of the condition number of eigenvalues of matrix polynomials, our results may be used to compare the condition numbers of eigenvalues of the linearizations within these families and the corresponding condition number of the polynomial eigenvalue problem.en
dc.description.statusPublicado
dc.format.extent23
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationLinear and Multilinear Algebra, 62 (2014) 1, pp. 39-62en
dc.identifier.doi10.1080/03081087.2012.762713
dc.identifier.issn0308-1087
dc.identifier.publicationfirstpage39
dc.identifier.publicationissue1
dc.identifier.publicationlastpage62
dc.identifier.publicationtitleLinear and Multilinear Algebraen
dc.identifier.publicationvolume62
dc.identifier.urihttps://hdl.handle.net/10016/22085
dc.identifier.uxxiAR/0000014501
dc.language.isoeng
dc.publisherTaylor & Francisen
dc.relation.projectIDGobierno de España. MTM2012-32542es
dc.relation.publisherversionhttp://dx.doi.org/10.1080/03081087.2012.762713es
dc.rights© 2014 Taylor & Francisen
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherpolynomial eigenvalue problemen
dc.subject.otherFiedler pencilsen
dc.subject.othermatrix polynomialsen
dc.subject.otherlinearizationsen
dc.subject.othereigenvectoren
dc.subject.otherminimal basesen
dc.subject.othersymmetric matrix polynomialsen
dc.subject.othermatrix polynominlsen
dc.subject.otherbackward erroren
dc.subject.otherlinear-systemsen
dc.subject.othervector-spacesen
dc.subject.othereigenproblemsen
dc.titleEigenvectors and minimal bases for some families of Fiedler-like linearizationsen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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