Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/192780
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dc.contributor.authorTatjer i Montaña, Joan Carles-
dc.contributor.authorVieiro Yanes, Arturo-
dc.date.accessioned2023-01-30T08:56:15Z-
dc.date.available2023-01-30T08:56:15Z-
dc.date.issued2021-03-
dc.identifier.issn1531-3492-
dc.identifier.urihttp://hdl.handle.net/2445/192780-
dc.description.abstractWe investigate the main phase space properties of the QR-flow when restricted to upper Hessenberg matrices. A complete description of the linear behavior of the equilibrium matrices is given. The main result classifies the possible $\alpha$ - and $\omega$-limits of the orbits for this system. Furthermore, we characterize the set of initial matrices for which there is convergence towards an equilibrium matrix. Several numerical examples show the different limit behavior of the orbits and illustrate the theory.-
dc.format.extent45 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)-
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.3934/dcdsb.2020166-
dc.relation.ispartofDiscrete and Continuous Dynamical Systems-Series B, 2021, vol. 26, num. 3, p. 1359-1403-
dc.relation.urihttps://doi.org/10.3934/dcdsb.2020166-
dc.rights(c) American Institute of Mathematical Sciences (AIMS), 2021-
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)-
dc.subject.classificationAnàlisi numèrica-
dc.subject.classificationÀlgebra lineal-
dc.subject.classificationMatrius (Matemàtica)-
dc.subject.classificationSistemes dinàmics diferenciables-
dc.subject.otherNumerical analysis-
dc.subject.otherLinear algebra-
dc.subject.otherMatrices-
dc.subject.otherDifferentiable dynamical systems-
dc.titleDynamics of the QR-flow for upper Hessenberg real matrices-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/acceptedVersion-
dc.identifier.idgrec700197-
dc.date.updated2023-01-30T08:56:15Z-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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