A note on a modification of Moser's method

We use a recurrence technique to obtain semilocal convergence results for Ulm's iterative method to approximate a solution of a nonlinear equation F (x) = 0fenced((x n + 1 = x n - B n F (x n),, n ≥ 0,; B n + 1 = 2 B n - B n F ′ (x n + 1) B n,, n ≥ 0 .))This method does not contain inverse opera...

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Detalles Bibliográficos
Autores: Gutiérrez, J.M. [0000-0002-0434-7250], Hernández, M.A. [0000-0001-5478-2958], Romero, N. [0000-0002-0653-560X]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc6969b750603269e81aba
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc6969b750603269e81aba
Access Level:acceso abierto
Palabra clave:Iterative processes
R-order of convergence
Semilocal convergence
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spelling A note on a modification of Moser's methodGutiérrez, J.M. [0000-0002-0434-7250]Hernández, M.A. [0000-0001-5478-2958]Romero, N. [0000-0002-0653-560X]Iterative processesR-order of convergenceSemilocal convergenceWe use a recurrence technique to obtain semilocal convergence results for Ulm's iterative method to approximate a solution of a nonlinear equation F (x) = 0fenced((x n + 1 = x n - B n F (x n),, n ≥ 0,; B n + 1 = 2 B n - B n F ′ (x n + 1) B n,, n ≥ 0 .))This method does not contain inverse operators in its expression and we prove it converges with the Newton rate. We also use this method to approximate a solution of integral equations of Fredholm-type. © 2007 Elsevier Inc. All rights reserved.2008info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc6969b750603269e81abareponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/J.JCO.2007.04.003info:eu-repo/semantics/altIdentifier/wos/WOS:000255291800008info:eu-repo/semantics/altIdentifier/pissn/0885-064XA note on a modification of Moser's method, 2008, vol. 24, núm. 2, pág. 185-197info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc6969b750603269e81aba2026-06-14T12:47:17Z
dc.title.none.fl_str_mv A note on a modification of Moser's method
title A note on a modification of Moser's method
spellingShingle A note on a modification of Moser's method
Gutiérrez, J.M. [0000-0002-0434-7250]
Iterative processes
R-order of convergence
Semilocal convergence
title_short A note on a modification of Moser's method
title_full A note on a modification of Moser's method
title_fullStr A note on a modification of Moser's method
title_full_unstemmed A note on a modification of Moser's method
title_sort A note on a modification of Moser's method
dc.creator.none.fl_str_mv Gutiérrez, J.M. [0000-0002-0434-7250]
Hernández, M.A. [0000-0001-5478-2958]
Romero, N. [0000-0002-0653-560X]
author Gutiérrez, J.M. [0000-0002-0434-7250]
author_facet Gutiérrez, J.M. [0000-0002-0434-7250]
Hernández, M.A. [0000-0001-5478-2958]
Romero, N. [0000-0002-0653-560X]
author_role author
author2 Hernández, M.A. [0000-0001-5478-2958]
Romero, N. [0000-0002-0653-560X]
author2_role author
author
dc.subject.none.fl_str_mv Iterative processes
R-order of convergence
Semilocal convergence
topic Iterative processes
R-order of convergence
Semilocal convergence
description We use a recurrence technique to obtain semilocal convergence results for Ulm's iterative method to approximate a solution of a nonlinear equation F (x) = 0fenced((x n + 1 = x n - B n F (x n),, n ≥ 0,; B n + 1 = 2 B n - B n F ′ (x n + 1) B n,, n ≥ 0 .))This method does not contain inverse operators in its expression and we prove it converges with the Newton rate. We also use this method to approximate a solution of integral equations of Fredholm-type. © 2007 Elsevier Inc. All rights reserved.
publishDate 2008
dc.date.none.fl_str_mv 2008
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc6969b750603269e81aba
url https://investigacion.unirioja.es/documentos/5bbc6969b750603269e81aba
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/J.JCO.2007.04.003
info:eu-repo/semantics/altIdentifier/wos/WOS:000255291800008
info:eu-repo/semantics/altIdentifier/pissn/0885-064X
A note on a modification of Moser's method, 2008, vol. 24, núm. 2, pág. 185-197
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja
instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
repository.name.fl_str_mv
repository.mail.fl_str_mv
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