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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| Natura: | Online |
| Lingua: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2023
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| Accesso online: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/15157 |
| Riassunto: | 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. |
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