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Jordan structures of irreducible totally nonnegative matrices with a prescribed sequence of the first p-indices

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Jordan structures of irreducible totally nonnegative matrices with a prescribed sequence of the first p-indices

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dc.contributor.author Cantó Colomina, Begoña es_ES
dc.contributor.author Cantó Colomina, Rafael es_ES
dc.contributor.author Urbano Salvador, Ana María es_ES
dc.date.accessioned 2023-03-01T19:02:16Z
dc.date.available 2023-03-01T19:02:16Z
dc.date.issued 2022-03-19 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/192211
dc.description.abstract [EN] Let A be an nxn irreducible totally nonnegative matrix with rank r and principal rank p, that is, A is irreducible with all minors nonnegative, r is the size of the largest invertible square submatrix of A and p is the size of its largest invertible principal submatrix. We consider the sequence {1,i_2,...,i_p} of the first p-indices of A as the first initial row and column indices of a p×p invertible principal submatrix of A. A triple (n,r,p) is called (1,i_2,...,i_p)-realizable if there exists an irreducible totally nonnegative matrix A¿R_n×n with rank r, principal rank p, and {1, i_2,...,i_p} is the sequence of its first p-indices. In this work we study the Jordan structures corresponding to the zero eigenvalue of irreducible totally nonnegative matrices associated with a triple (n,r,p) (1,i_2,...,i_p)-realizable. es_ES
dc.description.sponsorship This research was supported by the Ministerio de Economia y Competividad under the Spanish DGI grant MTM2017-85669-P-AR es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Totally nonnegative matrix es_ES
dc.subject Irreducible matrix es_ES
dc.subject Totally nonpositive matrix es_ES
dc.subject Triple realizable es_ES
dc.subject Jordan canonical form es_ES
dc.subject Linear algebra es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Jordan structures of irreducible totally nonnegative matrices with a prescribed sequence of the first p-indices es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-022-01227-3 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-85669-P/ES/PROBLEMAS MATRICIALES: COMPUTACION, TEORIA Y APLICACIONES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Politécnica Superior de Alcoy - Escola Politècnica Superior d'Alcoi es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural - Escola Tècnica Superior d'Enginyeria Agronòmica i del Medi Natural es_ES
dc.description.bibliographicCitation Cantó Colomina, B.; Cantó Colomina, R.; Urbano Salvador, AM. (2022). Jordan structures of irreducible totally nonnegative matrices with a prescribed sequence of the first p-indices. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 116(2):1-27. https://doi.org/10.1007/s13398-022-01227-3 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-022-01227-3 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 27 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 116 es_ES
dc.description.issue 2 es_ES
dc.relation.pasarela S\459177 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Universitat Politècnica de València es_ES
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