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dc.contributor.authorStanimirovic, Predrag S.
dc.contributor.authorSendra Pons, Juan Rafael 
dc.contributor.authorBehera, Ratikanta
dc.contributor.authorSahoo, Jajati Keshari
dc.contributor.authorMosic, Dijana
dc.contributor.authorSendra Pons, Juana 
dc.contributor.authorLastra Sedano, Alberto
dc.identifier.bibliographicCitationStanimirovic, P.S., Sendra, J.R., Behera, R., Sahoo, J.K., Mosic, D., Sendra, J. & Lastra, A. 2021, “Computing tensor generalized inverses via specialization and rationalization”, Rev. Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, vol. 115, art. no. 116.
dc.description.abstractIn this paper, we introduce the notion of outer generalized inverses, with predefined range and none space, of tensors with rational function entries equipped with the Einstein product over an arbitrary field, of characteristic zero, with or without involution. We assume that the involved tensor entries are rational functions of unassigned variables or rational expressions of functional entries. The research investigates the replacements in two stages. The lower-stage replacements assume replacements of unknown variables by constant values from the field. The higher-order stage assumes replacements of functional entries by unknown variables. This approach enables the calculation on tensors over meromorphic functions to be simplified by analogous calculations on matrices whose elements are rational expressions of variables. In general, the derived algorithms permit symbolic computation of various generalized inverses which belong to the class of outer generalized inverses, with prescribed range and none space, over an arbitrary field of characteristic zero. More precisely, we focus on a few algorithms for symbolic computation of outer inverses of matrices whose entries are elements of a field of characteristic zero or a field of meromorphic functions in one complex variable over a connected open subset of C. Illustrative numerical results validate the theoretical results.en
dc.description.sponsorshipAgencia Estatal de Investigaciónes_ES
dc.description.sponsorshipUniversidad de Alcaláes_ES
dc.publisherSpringer Nature
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights© 2021 Springer Nature
dc.subjectEinstein producten
dc.subjectTensors of functionsen
dc.subjectOuter inverseen
dc.subjectMeromorphic functionsen
dc.subjectSymbolic computationen
dc.titleComputing tensor generalized inverses via specialization and rationalizationen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88796-P/ES/COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES/en
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105621GB-I00/ES/METODOS ASINTOTICOS, ALGEBRAICOS Y GEOMETRICOS EN FOLIACIONES SINGULARES Y SISTEMAS DINAMICOS/en
dc.identifier.publicationtitleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticases_ES

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