Publication: Generic symmetric matrix pencils with bounded rank
dc.affiliation.dpto | UC3M. Departamento de Matemáticas | es |
dc.affiliation.grupoinv | UC3M. Grupo de Investigación: Matemática Aplicada a Control, Sistemas y Señales | es |
dc.contributor.author | Terán Vergara, Fernando de | |
dc.contributor.author | Dmytryshyn, Andrii | |
dc.contributor.author | Martínez Dopico, Froilán César | |
dc.contributor.funder | Ministerio de Economía y Competitividad (España) | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (España) | es |
dc.date.accessioned | 2021-04-07T10:21:36Z | |
dc.date.available | 2021-04-07T10:21:36Z | |
dc.date.issued | 2020-09-15 | |
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. | en |
dc.format.extent | 22 | |
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. | en |
dc.identifier.doi | https://doi.org/10.4171/jst/316 | |
dc.identifier.issn | 1664-039X | |
dc.identifier.publicationfirstpage | 905 | |
dc.identifier.publicationissue | 3 | |
dc.identifier.publicationlastpage | 926 | |
dc.identifier.publicationtitle | Journal of Spectral Theory | en |
dc.identifier.publicationvolume | 10 | |
dc.identifier.uri | https://hdl.handle.net/10016/32292 | |
dc.identifier.uxxi | AR/0000027032 | |
dc.language.iso | eng | en |
dc.publisher | European Mathematical Society (EMS) | es |
dc.relation.projectID | Gobierno de España. MTM2015-65798-P | es |
dc.relation.projectID | Gobierno de España. MTM2017-90682-REDT | es |
dc.rights | © 2021 EMS Publishing House. | en |
dc.rights.accessRights | open access | en |
dc.subject.eciencia | Matemáticas | es |
dc.subject.other | Matrix pencil | en |
dc.subject.other | Symmetric pencil | en |
dc.subject.other | Strict equivalence | en |
dc.subject.other | Congruence | en |
dc.subject.other | Orbit | en |
dc.subject.other | Bundle | en |
dc.subject.other | Spectral information | en |
dc.subject.other | Complete eigenstructure | en |
dc.title | Generic symmetric matrix pencils with bounded rank | en |
dc.type | research article | * |
dc.type.hasVersion | AM | * |
dspace.entity.type | Publication |
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