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...
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2023
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157 |
| _version_ | 1801706356833517568 |
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| author | Triana Laverde, Juan Gabriel |
| author_facet | Triana Laverde, Juan Gabriel |
| author_sort | Triana Laverde, Juan Gabriel |
| collection | OJS |
| 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. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-15157 |
| institution | Revista Ciencia en Desarrollo |
| language | spa |
| publishDate | 2023 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-151572024-05-10T00:51:44Z On the Newton-Raphson method and its modifications Sobre el método de Newton-Raphson y sus modificaciones Triana Laverde, Juan Gabriel Método de Newton-Raphson Convergencia Fractal Newton-Raphson method Convergence Fractal 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. 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. Universidad Pedagógica y Tecnológica de Colombia 2023-07-19 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157 10.19053/01217488.v14.n2.2023.15157 Ciencia En Desarrollo; Vol. 14 No. 2 (2023): Vol 14, Núm.2 (2023): Julio-Diciembre; 75-80 Ciencia en Desarrollo; Vol. 14 Núm. 2 (2023): Vol 14, Núm.2 (2023): Julio-Diciembre; 75-80 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157/14017 |
| spellingShingle | Método de Newton-Raphson Convergencia Fractal Newton-Raphson method Convergence Fractal Triana Laverde, Juan Gabriel On the Newton-Raphson method and its modifications |
| title | On the Newton-Raphson method and its modifications |
| title_alt | Sobre el método de Newton-Raphson y sus modificaciones |
| 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_short | On the Newton-Raphson method and its modifications |
| title_sort | on the newton raphson method and its modifications |
| topic | Método de Newton-Raphson Convergencia Fractal Newton-Raphson method Convergence Fractal |
| topic_facet | Método de Newton-Raphson Convergencia Fractal Newton-Raphson method Convergence Fractal |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157 |
| work_keys_str_mv | AT trianalaverdejuangabriel onthenewtonraphsonmethodanditsmodifications AT trianalaverdejuangabriel sobreelmetododenewtonraphsonysusmodificaciones |
