Generic symmetric matrix pencils with bounded rank

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Show simple item record Terán Vergara, Fernando de Dmytryshyn, Andrii Martínez Dopico, Froilán César 2021-04-07T10:21:36Z 2021-04-07T10:21:36Z 2020-09-15
dc.identifier.bibliographicCitation De Terán, F., Dmytryshyn, A. & Dopico, F. (2020). Generic symmetric matrix pencils with bounded rank. Journal of Spectral Theory, 10(3), pp. 905–926.
dc.identifier.issn 1664-039X
dc.description.abstract We 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.
dc.format.extent 22
dc.language.iso eng
dc.publisher European Mathematical Society (EMS)
dc.rights © 2021 EMS Publishing House.
dc.subject.other Matrix pencil
dc.subject.other Symmetric pencil
dc.subject.other Strict equivalence
dc.subject.other Congruence
dc.subject.other Orbit
dc.subject.other Bundle
dc.subject.other Spectral information
dc.subject.other Complete eigenstructure
dc.title Generic symmetric matrix pencils with bounded rank
dc.type article
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2015-65798-P
dc.relation.projectID Gobierno de España. MTM2017-90682-REDT
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 905
dc.identifier.publicationissue 3
dc.identifier.publicationlastpage 926
dc.identifier.publicationtitle Journal of Spectral Theory
dc.identifier.publicationvolume 10
dc.identifier.uxxi AR/0000027032
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.contributor.funder Ministerio de Ciencia, Innovación y Universidades (España)
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