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Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade

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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.authorDmytryshyn, Andrii
dc.contributor.authorMartínez Dopico, Froilán César
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-04-05T09:15:09Z
dc.date.available2021-04-05T09:15:09Z
dc.date.issued2018-01-01
dc.description.abstractWe show that the set of m x m complex skew-symmetric matrix polynomials of odd grade d, i.e., of degree at most d, and (normal) rank at most 2r is the closure of the single set of matrix polynomials with the certain, explicitly described, complete eigenstructure. This complete eigenstructure corresponds to the most generic m x m complex skew-symmetric matrix polynomials of odd grade d and rank at most 2r. In particular, this result includes the case of skew-symmetric matrix pencils (d = 1).en
dc.format.extent18
dc.identifier.bibliographicCitationDmytryshyn, A. & Dopico, F. M. (2018). Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade. Linear Algebra and Its Applications, 536, pp. 1–18.en
dc.identifier.doihttps://doi.org/10.1016/j.laa.2017.09.006
dc.identifier.issn0024-3795
dc.identifier.publicationfirstpage1
dc.identifier.publicationlastpage18
dc.identifier.publicationtitleLinear Algebra and Its Applicationsen
dc.identifier.publicationvolume536
dc.identifier.urihttps://hdl.handle.net/10016/32253
dc.identifier.uxxiAR/0000020651
dc.language.isoengen
dc.publisherElsevieren
dc.relation.projectIDGobierno de España. MTM2015-68805-REDTes
dc.relation.projectIDGobierno de España. MTM2015-65798-Pes
dc.rights© 2017 Elsevier Inc.es
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaMatemáticases
dc.subject.otherComplete eigenstructureen
dc.subject.otherGenericityen
dc.subject.otherMatrix polynomialsen
dc.subject.otherSkew-symmetryen
dc.subject.otherNormal ranken
dc.subject.otherOrbitsen
dc.subject.otherPencilsen
dc.titleGeneric skew-symmetric matrix polynomials with fixed rank and fixed odd gradeen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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