On the Newton-Raphson method and its modifications

The Newton-Raphson method, also known as Newton's method, is a method for finding successively better approximations to the roots of a real-valued function, starting with an initial guess, being useful even for generating fractals when we consider complex functions. It is a fast method, but con...

Full description

Autores:
Tipo de recurso:
Fecha de publicación:
2023
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/15372
Acceso en línea:
https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157
https://repositorio.uptc.edu.co/handle/001/15372
Palabra clave:
Método de Newton-Raphson
Convergencia
Fractal
Newton-Raphson method
Convergence
Fractal
Rights
License
http://purl.org/coar/access_right/c_abf2
id REPOUPTC2_97a7f386d0bf451ca39b436feb8d2661
oai_identifier_str oai:repositorio.uptc.edu.co:001/15372
network_acronym_str REPOUPTC2
network_name_str RiUPTC: Repositorio Institucional UPTC
repository_id_str
spelling 2023-07-192024-07-08T14:24:09Z2024-07-08T14:24:09Zhttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/1515710.19053/01217488.v14.n2.2023.15157https://repositorio.uptc.edu.co/handle/001/15372The Newton-Raphson method, also known as Newton's method, is a method for finding successively better approximations to the roots of a real-valued function, starting with an initial guess, being useful even for generating fractals when we consider complex functions. It is a fast method, but convergence is not guaranteed, which is the reason why several modifications of that method have been proposed. Here we present some modifications of the Newton-Raphson method, and we study the convergence of those methods through cases.El método de Newton-Raphson, también conocido como método de Newton, permite la aproximación sucesiva de raíces de funciones de valor real, partiendo de un valor inicial, siendo útil incluso para generar fractales al considerar funciones complejas. Es un método de convergencia rápida, pero no garantizada, razón por la cual se han propuesto diversas modificaciones del método. En este trabajo se presentan algunas modificaciones del método de Newton-Raphson y se estudia las falencias de convergencia de estos métodos a través de ejemplos.application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombiahttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157/14017Ciencia En Desarrollo; Vol. 14 No. 2 (2023): Vol 14, Núm.2 (2023): Julio-Diciembre; 75-80Ciencia en Desarrollo; Vol. 14 Núm. 2 (2023): Vol 14, Núm.2 (2023): Julio-Diciembre; 75-802462-76580121-7488Método de Newton-RaphsonConvergenciaFractalNewton-Raphson methodConvergenceFractalOn the Newton-Raphson method and its modificationsSobre el método de Newton-Raphson y sus modificacionesinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/access_right/c_abf2Triana Laverde, Juan Gabriel001/15372oai:repositorio.uptc.edu.co:001/153722025-07-18 10:56:33.046metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co
dc.title.en-US.fl_str_mv On the Newton-Raphson method and its modifications
dc.title.es-ES.fl_str_mv Sobre el método de Newton-Raphson y sus modificaciones
title On the Newton-Raphson method and its modifications
spellingShingle On the Newton-Raphson method and its modifications
Método de Newton-Raphson
Convergencia
Fractal
Newton-Raphson method
Convergence
Fractal
title_short On the Newton-Raphson method and its modifications
title_full On the Newton-Raphson method and its modifications
title_fullStr On the Newton-Raphson method and its modifications
title_full_unstemmed On the Newton-Raphson method and its modifications
title_sort On the Newton-Raphson method and its modifications
dc.subject.es-ES.fl_str_mv Método de Newton-Raphson
Convergencia
Fractal
topic Método de Newton-Raphson
Convergencia
Fractal
Newton-Raphson method
Convergence
Fractal
dc.subject.en-US.fl_str_mv Newton-Raphson method
Convergence
Fractal
description The Newton-Raphson method, also known as Newton's method, is a method for finding successively better approximations to the roots of a real-valued function, starting with an initial guess, being useful even for generating fractals when we consider complex functions. It is a fast method, but convergence is not guaranteed, which is the reason why several modifications of that method have been proposed. Here we present some modifications of the Newton-Raphson method, and we study the convergence of those methods through cases.
publishDate 2023
dc.date.accessioned.none.fl_str_mv 2024-07-08T14:24:09Z
dc.date.available.none.fl_str_mv 2024-07-08T14:24:09Z
dc.date.none.fl_str_mv 2023-07-19
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157
10.19053/01217488.v14.n2.2023.15157
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/15372
url https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157
https://repositorio.uptc.edu.co/handle/001/15372
identifier_str_mv 10.19053/01217488.v14.n2.2023.15157
dc.language.none.fl_str_mv spa
dc.language.iso.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157/14017
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia
dc.source.en-US.fl_str_mv Ciencia En Desarrollo; Vol. 14 No. 2 (2023): Vol 14, Núm.2 (2023): Julio-Diciembre; 75-80
dc.source.es-ES.fl_str_mv Ciencia en Desarrollo; Vol. 14 Núm. 2 (2023): Vol 14, Núm.2 (2023): Julio-Diciembre; 75-80
dc.source.none.fl_str_mv 2462-7658
0121-7488
institution Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv Repositorio Institucional UPTC
repository.mail.fl_str_mv repositorio.uptc@uptc.edu.co
_version_ 1839633826484060160

Publicaciones similares