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Generalized inverses estimations by means of iterative methods with memory

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Generalized inverses estimations by means of iterative methods with memory

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dc.contributor.author Artidiello, Santiago es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.contributor.author Vassileva, María P. es_ES
dc.date.accessioned 2021-02-24T04:31:16Z
dc.date.available 2021-02-24T04:31:16Z
dc.date.issued 2020-01 es_ES
dc.identifier.uri http://hdl.handle.net/10251/162234
dc.description.abstract [EN] A secant-type method is designed for approximating the inverse and some generalized inverses of a complex matrix A. For a nonsingular matrix, the proposed method gives us an approximation of the inverse and, when the matrix is singular, an approximation of the Moore-Penrose inverse and Drazin inverse are obtained. The convergence and the order of convergence is presented in each case. Some numerical tests allowed us to confirm the theoretical results and to compare the performance of our method with other known ones. With these results, the iterative methods with memory appear for the first time for estimating the solution of a nonlinear matrix equations. es_ES
dc.description.sponsorship This research was supported by PGC2018-095896-B-C22 (MCIU/AEI/FEDER, UE), Generalitat Valenciana PROMETEO/2016/089, and FONDOCYT 029-2018 Republica Dominicana. es_ES
dc.language Inglés es_ES
dc.publisher MDPI AG es_ES
dc.relation.ispartof Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Nonlinear matrix equation es_ES
dc.subject Iterative method es_ES
dc.subject Secant method es_ES
dc.subject Convergence es_ES
dc.subject Singular value decomposition es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Generalized inverses estimations by means of iterative methods with memory es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.3390/math8010002 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FONDOCYT//2018-2019-1D2-140/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FONDOCYT//029-2018/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Artidiello, S.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vassileva, MP. (2020). Generalized inverses estimations by means of iterative methods with memory. Mathematics. 8(1):1-13. https://doi.org/10.3390/math8010002 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.3390/math8010002 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 13 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 8 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 2227-7390 es_ES
dc.relation.pasarela S\423836 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES
dc.contributor.funder Ministerio de Ciencia, Innovación y Universidades es_ES
dc.contributor.funder Fondo Nacional de Innovación y Desarrollo Científico y Tecnológico, República Dominicana es_ES
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