dc.contributor.author | Sendra Pons, Juan Rafael | |
dc.contributor.author | Sendra Pons, Juana | |
dc.date.accessioned | 2020-11-17T13:39:51Z | |
dc.date.available | 2020-11-17T13:39:51Z | |
dc.date.issued | 2017-11-15 | |
dc.identifier.bibliographicCitation | Sendra, J.R. & Sendra, J. 2017, “Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries”, Applied Mathematics and Computation, vol. 313, pp. 355-366 | |
dc.identifier.issn | 0096-3003 | |
dc.identifier.uri | http://hdl.handle.net/10017/45128 | |
dc.description | J.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683) | en |
dc.description.abstract | In this paper, given a field with an involutory automorphism, we introduce the notion of Moore-Penrose field by requiring that all matrices over the field have Moore-Penrose inverse. We prove that only characteristic zero fields can be Moore-Penrose, and that the field of rational functions over a Moore-Penrose field is also Moore-Penrose. In addition, for a matrix with rational functions entries with coefficients in a field K, we find sufficient conditions for the elements in K to ensure that the specialization of the Moore-Penrose inverse is the Moore-Penrose inverse of the specialization of the matrix. As a consequence, we provide a symbolic algorithm that, given a matrix whose entries are rational expression over C of finitely many meromeorphic functions being invariant by the involutory automorphism, computes its Moore-Penrose inverve by replacing the functions by new variables, and hence reducing the problem to the case of matrices with complex rational function entries. | en |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Elsevier | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © 2017 Elsevier | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Generalized inverses | en |
dc.subject | Moore-Penrose fields | en |
dc.subject | Meromorphic functions | en |
dc.subject | Matrices of functions | en |
dc.title | Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries | en |
dc.type | info:eu-repo/semantics/article | en |
dc.subject.eciencia | Matemáticas | es_ES |
dc.subject.eciencia | Mathematics | en |
dc.contributor.affiliation | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas | es_ES |
dc.date.updated | 2020-11-17T13:37:40Z | |
dc.relation.publisherversion | https://doi.org/10.1016/j.amc.2017.06.007 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.1016/j.amc.2017.06.007 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/ | en |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000027854 | |
dc.identifier.publicationtitle | Applied Mathematics and Computation (New York) | |
dc.identifier.publicationvolume | 313 | |
dc.identifier.publicationlastpage | 366 | |
dc.identifier.publicationfirstpage | 355 | |