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

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dc.contributor.author Bueno Cachadiña, María Isabel
dc.contributor.author Teran Vergara, Fernando de
dc.date.accessioned 2015-12-11T11:38:17Z
dc.date.available 2015-12-11T11:38:17Z
dc.date.issued 2014
dc.identifier.bibliographicCitation Linear and Multilinear Algebra, 62 (2014) 1, pp. 39-62
dc.identifier.issn 0308-1087
dc.identifier.uri http://hdl.handle.net/10016/22085
dc.description.abstract In 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.
dc.format.extent 23
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Taylor & Francis
dc.rights © 2014 Taylor & Francis
dc.subject.other polynomial eigenvalue problem
dc.subject.other Fiedler pencils
dc.subject.other matrix polynomials
dc.subject.other linearizations
dc.subject.other eigenvector
dc.subject.other minimal bases
dc.subject.other symmetric matrix polynomials
dc.subject.other matrix polynominls
dc.subject.other backward error
dc.subject.other linear-systems
dc.subject.other vector-spaces
dc.subject.other eigenproblems
dc.title Eigenvectors and minimal bases for some families of Fiedler-like linearizations
dc.type article
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1080/03081087.2012.762713
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1080/03081087.2012.762713
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2012-32542
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 39
dc.identifier.publicationissue 1
dc.identifier.publicationlastpage 62
dc.identifier.publicationtitle Linear and Multilinear Algebra
dc.identifier.publicationvolume 62
dc.identifier.uxxi AR/0000014501
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