A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations

Autores
Echebest, Nélida Ester; Schuverdt, María Laura; Vignau, Raúl Pedro
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A derivative-free iterative method for solving bound-constrained underdetermined nonlinear systems is presented. The procedure consists of a quasi-Newton method that uses the Broyden update formula and a globalized line search that combines the strategy of Grippo, Lampariello and Lucidi with the Li and Fukushima one. Global convergence results are proved and 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. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Vignau, Raúl Pedro. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Materia
Bound Constraints
Derivative-Free Line Search
Global Convergence
Quasi-Newton Method
Underdetermined Nonlinear Systems
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:11336/79133
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/79133
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A derivative-free method for solving box-constrained underdetermined nonlinear systems of equationsEchebest, Nélida EsterSchuverdt, María LauraVignau, Raúl PedroBound ConstraintsDerivative-Free Line SearchGlobal ConvergenceQuasi-Newton MethodUnderdetermined Nonlinear Systemshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A derivative-free iterative method for solving bound-constrained underdetermined nonlinear systems is presented. The procedure consists of a quasi-Newton method that uses the Broyden update formula and a globalized line search that combines the strategy of Grippo, Lampariello and Lucidi with the Li and Fukushima one. Global convergence results are proved and numerical experiments are presented.Fil: Echebest, Nélida Ester. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaFil: Schuverdt, María Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaFil: Vignau, Raúl Pedro. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaElsevier Science Inc2012-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/79133Echebest, Nélida Ester; Schuverdt, María Laura; Vignau, Raúl Pedro; A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations; Elsevier Science Inc; Applied Mathematics and Computation; 219; 6; 11-2012; 3198-32080096-3003CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2012.09.056info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0096300312009551info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:20:17Zoai:ri.conicet.gov.ar:11336/79133instacron: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:34982025-10-22 12:20:18.126CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
title A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
spellingShingle A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
Echebest, Nélida Ester
Bound Constraints
Derivative-Free Line Search
Global Convergence
Quasi-Newton Method
Underdetermined Nonlinear Systems
title_short A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
title_full A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
title_fullStr A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
title_full_unstemmed A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
title_sort A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations
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 Bound Constraints
Derivative-Free Line Search
Global Convergence
Quasi-Newton Method
Underdetermined Nonlinear Systems
topic Bound Constraints
Derivative-Free Line Search
Global Convergence
Quasi-Newton Method
Underdetermined Nonlinear Systems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A derivative-free iterative method for solving bound-constrained underdetermined nonlinear systems is presented. The procedure consists of a quasi-Newton method that uses the Broyden update formula and a globalized line search that combines the strategy of Grippo, Lampariello and Lucidi with the Li and Fukushima one. Global convergence results are proved and 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. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Vignau, Raúl Pedro. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
description A derivative-free iterative method for solving bound-constrained underdetermined nonlinear systems is presented. The procedure consists of a quasi-Newton method that uses the Broyden update formula and a globalized line search that combines the strategy of Grippo, Lampariello and Lucidi with the Li and Fukushima one. Global convergence results are proved and numerical experiments are presented.
publishDate 2012
dc.date.none.fl_str_mv 2012-11
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/11336/79133
Echebest, Nélida Ester; Schuverdt, María Laura; Vignau, Raúl Pedro; A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations; Elsevier Science Inc; Applied Mathematics and Computation; 219; 6; 11-2012; 3198-3208
0096-3003
CONICET Digital
CONICET
url http://hdl.handle.net/11336/79133
identifier_str_mv Echebest, Nélida Ester; Schuverdt, María Laura; Vignau, Raúl Pedro; A derivative-free method for solving box-constrained underdetermined nonlinear systems of equations; Elsevier Science Inc; Applied Mathematics and Computation; 219; 6; 11-2012; 3198-3208
0096-3003
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.amc.2012.09.056
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0096300312009551
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
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Inc
publisher.none.fl_str_mv Elsevier Science Inc
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_ 1846782648684380160
score 12.982451

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