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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/79133
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:46:54Zoai: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:34982025-09-29 10:46:54.37CONICET 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 |
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1844614511635464192 |
score |
13.070432 |