An inexact restoration derivative-free filter method for nonlinear programming

Autores
Echebest, Nélida Ester; Schuverdt, María Laura; Vignau, Raúl Pedro
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An inexact restoration derivative-free filter method for nonlinear programming is introduced in this paper. Each iteration is composed of a restoration phase, which reduces a measure of infeasibility, and an optimization phase, which reduces the objective function. The restoration phase is solved using a derivative-free method for solving underdetermined nonlinear systems with bound constraints, developed previously by the authors. An alternative for solving the optimization phase is considered. Theoretical convergence results and some preliminary numerical experiments are presented.
Fil: Echebest, Nélida Ester. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Schuverdt, María Laura. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Vignau, Raúl Pedro. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Materia
Derivative-Free
Filter Methods
Inexact Restoration Methods
Nonlinear Programming
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/56421
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/56421
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An inexact restoration derivative-free filter method for nonlinear programmingEchebest, Nélida EsterSchuverdt, María LauraVignau, Raúl PedroDerivative-FreeFilter MethodsInexact Restoration MethodsNonlinear Programminghttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1An inexact restoration derivative-free filter method for nonlinear programming is introduced in this paper. Each iteration is composed of a restoration phase, which reduces a measure of infeasibility, and an optimization phase, which reduces the objective function. The restoration phase is solved using a derivative-free method for solving underdetermined nonlinear systems with bound constraints, developed previously by the authors. An alternative for solving the optimization phase is considered. Theoretical convergence results and some preliminary numerical experiments are presented.Fil: Echebest, Nélida Ester. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaFil: Schuverdt, María Laura. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Vignau, Raúl Pedro. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaSociedade Brasileira de Matemática Aplicada e Computacional2017-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/56421Echebest, Nélida Ester; Schuverdt, María Laura; Vignau, Raúl Pedro; An inexact restoration derivative-free filter method for nonlinear programming; Sociedade Brasileira de Matemática Aplicada e Computacional; Matematica Aplicada E Computacional; 36; 1; 3-2017; 693-7180101-82051807-0302CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s40314-015-0253-0info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs40314-015-0253-0info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:49:07Zoai:ri.conicet.gov.ar:11336/56421instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:49:07.374CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An inexact restoration derivative-free filter method for nonlinear programming
title An inexact restoration derivative-free filter method for nonlinear programming
spellingShingle An inexact restoration derivative-free filter method for nonlinear programming
Echebest, Nélida Ester
Derivative-Free
Filter Methods
Inexact Restoration Methods
Nonlinear Programming
title_short An inexact restoration derivative-free filter method for nonlinear programming
title_full An inexact restoration derivative-free filter method for nonlinear programming
title_fullStr An inexact restoration derivative-free filter method for nonlinear programming
title_full_unstemmed An inexact restoration derivative-free filter method for nonlinear programming
title_sort An inexact restoration derivative-free filter method for nonlinear programming
dc.creator.none.fl_str_mv Echebest, Nélida Ester
Schuverdt, María Laura
Vignau, Raúl Pedro
author Echebest, Nélida Ester
author_facet Echebest, Nélida Ester
Schuverdt, María Laura
Vignau, Raúl Pedro
author_role author
author2 Schuverdt, María Laura
Vignau, Raúl Pedro
author2_role author
author
dc.subject.none.fl_str_mv Derivative-Free
Filter Methods
Inexact Restoration Methods
Nonlinear Programming
topic Derivative-Free
Filter Methods
Inexact Restoration Methods
Nonlinear Programming
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv An inexact restoration derivative-free filter method for nonlinear programming is introduced in this paper. Each iteration is composed of a restoration phase, which reduces a measure of infeasibility, and an optimization phase, which reduces the objective function. The restoration phase is solved using a derivative-free method for solving underdetermined nonlinear systems with bound constraints, developed previously by the authors. An alternative for solving the optimization phase is considered. Theoretical convergence results and some preliminary numerical experiments are presented.
Fil: Echebest, Nélida Ester. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Schuverdt, María Laura. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Vignau, Raúl Pedro. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
description An inexact restoration derivative-free filter method for nonlinear programming is introduced in this paper. Each iteration is composed of a restoration phase, which reduces a measure of infeasibility, and an optimization phase, which reduces the objective function. The restoration phase is solved using a derivative-free method for solving underdetermined nonlinear systems with bound constraints, developed previously by the authors. An alternative for solving the optimization phase is considered. Theoretical convergence results and some preliminary numerical experiments are presented.
publishDate 2017
dc.date.none.fl_str_mv 2017-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/56421
Echebest, Nélida Ester; Schuverdt, María Laura; Vignau, Raúl Pedro; An inexact restoration derivative-free filter method for nonlinear programming; Sociedade Brasileira de Matemática Aplicada e Computacional; Matematica Aplicada E Computacional; 36; 1; 3-2017; 693-718
0101-8205
1807-0302
CONICET Digital
CONICET
url http://hdl.handle.net/11336/56421
identifier_str_mv Echebest, Nélida Ester; Schuverdt, María Laura; Vignau, Raúl Pedro; An inexact restoration derivative-free filter method for nonlinear programming; Sociedade Brasileira de Matemática Aplicada e Computacional; Matematica Aplicada E Computacional; 36; 1; 3-2017; 693-718
0101-8205
1807-0302
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s40314-015-0253-0
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs40314-015-0253-0
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613523079954432
score 13.070432

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