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http://hdl.handle.net/123456789/8399
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| Título : | Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots |
| Autor : | Cadenas Román, Carlos Eduardo |
| Palabras clave : | Geometric construction
Newton’s method
Multiple roots
Nonlinear equations
AMS subject classifications: 65H05
Nonlinear algebraic or transcendental equations
Single equations |
| Fecha de publicación : | 2018 |
| Editorial : | Punjab University |
| Citación : | Cadenas, C. (2018). Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots. Punjab University Journal of Mathematics. Vol. 50(1), 2018. pp. 15-21 |
| Citación : | Punjab University Journal of Mathematics, Vol. 50(1), 2018 |
| Resumen : | In this paper we give some geometric constructions of variations of Newton’s method, based on ideas of Schr¨oder, for the case that roots are multiple. A straight line and a polynomial are used to construct the iteration equation when the multiplicity of the root is known. In the case that the multiplicity is unknown another straight line and a rational function are used. Representative figures of an example are given. |
| URI : | http://hdl.handle.net/123456789/8399 |
| ISSN : | 1016-2526 |
| Aparece en las colecciones: | (Ciencias Básicas) Articulos
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Ficheros en este ítem:
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Descripción |
Tamaño | Formato |
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| cecadenasr.pdf | Cadenas, C. (2018). Some geometric constructions of two variants of Newton’s method to solving nonlinear equations with multiple roots. Punjab University Journal of Mathematics .Vol. 50(1), 2018. pp. 15-21 | 133,13 kB | Adobe PDF | Visualizar/Abrir |
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