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http://hdl.handle.net/123456789/8393
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| Título : | A family of Newton-Chebyshev type methods to find simple roots of nonlinear equations and their dynamics |
| Autor : | Cadenas Román, Carlos Eduardo |
| Palabras clave : | Nonlinear equations
Newton’s method
Chebyshev’s method
Order of convergence
Dynamic
Quadratic polynomials
Newton-Chebyshev family |
| Fecha de publicación : | 26-sep-2017 |
| Editorial : | International Scientific Publications and Consulting Services (ISPACS) |
| Citación : | Cadenas, C. (2017). A family of Newton-Chebyshev type methods to find simple roots of nonlinear equations and their dynamics. Communications in Numerical Analysis 2017 No. 2. pp.172-185 |
| Citación : | Communications in Numerical Analysis 2017 No.2, 2017 |
| Resumen : | In this work, a new family of Newton-Chebyshev type methods for solving nonlinear equations is presented. The dynamics of the Newton-Chebyshev family for the class of quadratic polynomials is analyzed 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/123456789/8393
doi:10.5899/2017/cna-00323 |
| ISSN : | 2193-4215 |
| Aparece en las colecciones: | (Ciencias Básicas) Articulos
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Ficheros en este ítem:
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| cedcadenas.pdf | Cadenas, C. (2017). A family of Newton-Chebyshev type methods to find simple roots of nonlinear equations and their dynamics. Communications in Numerical Analysis 2017 No. 2. pp.172-185 | 688,43 kB | Adobe PDF | Visualizar/Abrir |
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