Publication:
Generic symmetric matrix pencils with bounded rank

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Matemática Aplicada a Control, Sistemas y Señaleses
dc.contributor.authorTerán Vergara, Fernando de
dc.contributor.authorDmytryshyn, Andrii
dc.contributor.authorMartínez Dopico, Froilán César
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (España)es
dc.date.accessioned2021-04-07T10:21:36Z
dc.date.available2021-04-07T10:21:36Z
dc.date.issued2020-09-15
dc.description.abstractWe show that the set of n × n complex symmetric matrix pencils of rank at most r is the union of the closures of [r/2] + 1 sets of matrix pencils with some, explicitly described,complete eigenstructures. As a consequence, these are the generic complete eigenstructures of n × n complex symmetric matrix pencils of rank at most r. We also show that these closures correspondto the irreducible components of the set of n × n symmetric matrix pencils with rank at most r when considered as an algebraic set.en
dc.format.extent22
dc.identifier.bibliographicCitationDe Terán, F., Dmytryshyn, A. & Dopico, F. (2020). Generic symmetric matrix pencils with bounded rank. Journal of Spectral Theory, 10(3), pp. 905–926.en
dc.identifier.doihttps://doi.org/10.4171/jst/316
dc.identifier.issn1664-039X
dc.identifier.publicationfirstpage905
dc.identifier.publicationissue3
dc.identifier.publicationlastpage926
dc.identifier.publicationtitleJournal of Spectral Theoryen
dc.identifier.publicationvolume10
dc.identifier.urihttps://hdl.handle.net/10016/32292
dc.identifier.uxxiAR/0000027032
dc.language.isoengen
dc.publisherEuropean Mathematical Society (EMS)es
dc.relation.projectIDGobierno de España. MTM2015-65798-Pes
dc.relation.projectIDGobierno de España. MTM2017-90682-REDTes
dc.rights© 2021 EMS Publishing House.en
dc.rights.accessRightsopen accessen
dc.subject.ecienciaMatemáticases
dc.subject.otherMatrix pencilen
dc.subject.otherSymmetric pencilen
dc.subject.otherStrict equivalenceen
dc.subject.otherCongruenceen
dc.subject.otherOrbiten
dc.subject.otherBundleen
dc.subject.otherSpectral informationen
dc.subject.otherComplete eigenstructureen
dc.titleGeneric symmetric matrix pencils with bounded ranken
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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