FRACTIONAL ORDER LOG BARRIER INTERIOR POINT ALGORITHM FOR POLYNOMIAL REGRESSION IN THE ℓp-NORM

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorGrigoletto, Eliana Contharteze-
Data de aceite: dc.date.accessioned2025-08-21T18:32:00Z-
Data de disponibilização: dc.date.available2025-08-21T18:32:00Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2021-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1590/0101-7438.2022.042.00253422-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/246419-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/246419-
Descrição: dc.descriptionFractional calculus is the branch of mathematics that studies the several possibilities of gen-eralizing the derivative and integral of a function to noninteger order. Recent studies found in literature have confirmed the importance of fractional calculus for minimization problems. However, the study of fractional calculus in interior point methods for solving optimization problems is still new. In this study, inspired in applications of fractional calculus in many fields, was developed the so-called fractional order log barrier interior point algorithm by replacing some integer derivatives for the corresponding fractional ones on the first order optimality conditions of Karush-Kuhn-Tucker to solve polynomial regression models in the ℓp −norm for 1 < p < 2. Finally, numerical experiments are performed to illustrate the proposed algorithm.-
Descrição: dc.descriptionSão Paulo State University (Unesp), Avenida Universitária, 3780, SP-
Descrição: dc.descriptionSão Paulo State University (Unesp), Avenida Universitária, 3780, SP-
Idioma: dc.languageen-
Relação: dc.relationPesquisa Operacional-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectfractional derivative-
Palavras-chave: dc.subjectinterior point method-
Palavras-chave: dc.subjectnonlinear programming-
Palavras-chave: dc.subjectpolynomial regression-
Palavras-chave: dc.subjectℓp −norm-
Título: dc.titleFRACTIONAL ORDER LOG BARRIER INTERIOR POINT ALGORITHM FOR POLYNOMIAL REGRESSION IN THE ℓp-NORM-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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