Contrasts in the basins of attraction of structurally identical iterative root finding methods

Detalhes bibliográficos
Autor(a) principal: Basto, Mário
Data de Publicação: 2013
Outros Autores: Basto, Luís P., Semiao, Viriato, Calheiros, Francisco L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/11110/531
Resumo: A numerical comparison is performed between three methods of third order with the same structure, namely BSC, Halley’s and Euler–Chebyshev’s methods. As the behavior of an iterative method applied to a nonlinear equation can be highly sensitive to the starting points, the numerical comparison is carried out, allowing for complex starting points and for complex roots, on the basins of attraction in the complex plane. Several examples of algebraic and transcendental equations are presented.
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spelling Contrasts in the basins of attraction of structurally identical iterative root finding methodsNonlinear equationsIterative methodsOrder of convergenceBasins of attractionA numerical comparison is performed between three methods of third order with the same structure, namely BSC, Halley’s and Euler–Chebyshev’s methods. As the behavior of an iterative method applied to a nonlinear equation can be highly sensitive to the starting points, the numerical comparison is carried out, allowing for complex starting points and for complex roots, on the basins of attraction in the complex plane. Several examples of algebraic and transcendental equations are presented.Applied Mathematics and Computation2013-12-21T14:05:36Z2013-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/11110/531oai:ciencipca.ipca.pt:11110/531eng0096-3003http://hdl.handle.net/11110/531metadata only accessinfo:eu-repo/semantics/openAccessBasto, MárioBasto, Luís P.Semiao, ViriatoCalheiros, Francisco L.reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-09-05T12:51:54Zoai:ciencipca.ipca.pt:11110/531Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:00:45.293343Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Contrasts in the basins of attraction of structurally identical iterative root finding methods
title Contrasts in the basins of attraction of structurally identical iterative root finding methods
spellingShingle Contrasts in the basins of attraction of structurally identical iterative root finding methods
Basto, Mário
Nonlinear equations
Iterative methods
Order of convergence
Basins of attraction
title_short Contrasts in the basins of attraction of structurally identical iterative root finding methods
title_full Contrasts in the basins of attraction of structurally identical iterative root finding methods
title_fullStr Contrasts in the basins of attraction of structurally identical iterative root finding methods
title_full_unstemmed Contrasts in the basins of attraction of structurally identical iterative root finding methods
title_sort Contrasts in the basins of attraction of structurally identical iterative root finding methods
author Basto, Mário
author_facet Basto, Mário
Basto, Luís P.
Semiao, Viriato
Calheiros, Francisco L.
author_role author
author2 Basto, Luís P.
Semiao, Viriato
Calheiros, Francisco L.
author2_role author
author
author
dc.contributor.author.fl_str_mv Basto, Mário
Basto, Luís P.
Semiao, Viriato
Calheiros, Francisco L.
dc.subject.por.fl_str_mv Nonlinear equations
Iterative methods
Order of convergence
Basins of attraction
topic Nonlinear equations
Iterative methods
Order of convergence
Basins of attraction
description A numerical comparison is performed between three methods of third order with the same structure, namely BSC, Halley’s and Euler–Chebyshev’s methods. As the behavior of an iterative method applied to a nonlinear equation can be highly sensitive to the starting points, the numerical comparison is carried out, allowing for complex starting points and for complex roots, on the basins of attraction in the complex plane. Several examples of algebraic and transcendental equations are presented.
publishDate 2013
dc.date.none.fl_str_mv 2013-12-21T14:05:36Z
2013-04-01T00:00:00Z
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11110/531
oai:ciencipca.ipca.pt:11110/531
url http://hdl.handle.net/11110/531
identifier_str_mv oai:ciencipca.ipca.pt:11110/531
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0096-3003
http://hdl.handle.net/11110/531
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dc.publisher.none.fl_str_mv Applied Mathematics and Computation
publisher.none.fl_str_mv Applied Mathematics and Computation
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