Two derivative-free methods for solving underdetermined nonlinear systems of equations

In this paper, two different approaches to solve underdetermined nonlinear system of equations are proposed. In one of them, the derivative-free method defined by La Cruz, Martínez and Raydan for solving square nonlinear systems is modified and extended to cope with the underdetermined case. The oth...

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Detalles Bibliográficos
Autores principales:	Echebest, Nélida Ester, Schuverdt, María Laura, Vignau, Raúl Pedro
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2011
Materias:	Ciencias Exactas Matemática derivative-free line search global convergence quasi-Newton method spectral step length underdetermined nonlinear systems
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/40172 http://www.scielo.br/pdf/cam/v30n1/11.pdf
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-40172
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Exactas Matemática derivative-free line search global convergence quasi-Newton method spectral step length underdetermined nonlinear systems
spellingShingle	Ciencias Exactas Matemática derivative-free line search global convergence quasi-Newton method spectral step length underdetermined nonlinear systems Echebest, Nélida Ester Schuverdt, María Laura Vignau, Raúl Pedro Two derivative-free methods for solving underdetermined nonlinear systems of equations
topic_facet	Ciencias Exactas Matemática derivative-free line search global convergence quasi-Newton method spectral step length underdetermined nonlinear systems
description	In this paper, two different approaches to solve underdetermined nonlinear system of equations are proposed. In one of them, the derivative-free method defined by La Cruz, Martínez and Raydan for solving square nonlinear systems is modified and extended to cope with the underdetermined case. The other approach is a Quasi-Newton method that uses the Broyden update formula and the globalized line search that combines the strategy of Grippo, Lampariello and Lucidi with the Li and Fukushima one. Global convergence results for both methods are proved and numerical experiments are presented.
format	Articulo Articulo
author	Echebest, Nélida Ester Schuverdt, María Laura Vignau, Raúl Pedro
author_facet	Echebest, Nélida Ester Schuverdt, María Laura Vignau, Raúl Pedro
author_sort	Echebest, Nélida Ester
title	Two derivative-free methods for solving underdetermined nonlinear systems of equations
title_short	Two derivative-free methods for solving underdetermined nonlinear systems of equations
title_full	Two derivative-free methods for solving underdetermined nonlinear systems of equations
title_fullStr	Two derivative-free methods for solving underdetermined nonlinear systems of equations
title_full_unstemmed	Two derivative-free methods for solving underdetermined nonlinear systems of equations
title_sort	two derivative-free methods for solving underdetermined nonlinear systems of equations
publishDate	2011
url	http://sedici.unlp.edu.ar/handle/10915/40172 http://www.scielo.br/pdf/cam/v30n1/11.pdf
work_keys_str_mv	AT echebestnelidaester twoderivativefreemethodsforsolvingunderdeterminednonlinearsystemsofequations AT schuverdtmarialaura twoderivativefreemethodsforsolvingunderdeterminednonlinearsystemsofequations AT vignauraulpedro twoderivativefreemethodsforsolvingunderdeterminednonlinearsystemsofequations
bdutipo_str	Repositorios
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Two derivative-free methods for solving underdetermined nonlinear systems of equations

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