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http://hdl.handle.net/123456789/8394
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| Título : | A family of Newton-Halley type methods to find simple roots of nonlinear equations and their dynamics |
| Autor : | Cadenas Román, Carlos Eduardo |
| Palabras clave : | Newton’s method
Halley’smethod
Order of convergence
Nonlinear equations
Dynamic
Quadratic polynomials
Newton-Halley family |
| Fecha de publicación : | 26-sep-2017 |
| Editorial : | International Scientific Publications and Consulting Services (ISPACS) |
| Citación : | Cadenas Román, C. (2017). A family of Newton-Halley type methods to find simple roots of nonlinear equations and their dynamics. Communications in Numerical Analysis 2017 No. 2. pp.157-171 |
| Citación : | Communications in Numerical Analysis 2017 No.2, 2017 |
| Resumen : | In this work a new family of Newton-Halley type methods for solving nonlinear equations is presented. the dynamics of the Newton-Halley family is analyzed for the class of quadratic polynomials and the convergence is established. We find the fixed and critical points. The stable and unstable behaviors are studied. The parameter space associated with the family is studied and finally, some dynamical planes that show different aspects of the dynamics of this family are presented. |
| URI : | http://hdl.handle.net/123456789/8394 |
| ISSN : | 2193-4215 |
| Aparece en las colecciones: | (Ciencias Básicas) Articulos
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Ficheros en este ítem:
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| cecadenasro.pdf | Cadenas, C. (2017). A family of Newton-Halley type methods to find simple roots of nonlinear equations and their dynamics. Communications in Numerical Analysis 2017 No. 2. pp.157-171 | 662,35 kB | Adobe PDF | Visualizar/Abrir |
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