An Overview on Steffensen-Type Methods
Autor:
Amat, Sergio
Busquier, Sonia
Magreñán, Á. Alberto (1)
Orcos, Lara (1)
Fecha:
2016Tipo de Ítem:
bookPartResumen:
In this chapter we present an extensive overview of Steffensen-type methods. We first present the real study of the methods and then we present the complex dynamics related this type of methods applied to different polynomials. We also provide an extension to Banach space settings and an application to a Boundary Value Problem. We finish this chapter with contributions to this matter made by other authors.
Este ítem aparece en la(s) siguiente(s) colección(es)
Estadísticas de uso
| Año |
| 2012 |
| 2013 |
| 2014 |
| 2015 |
| 2016 |
| 2017 |
| 2018 |
| 2019 |
| 2020 |
| 2021 |
| Vistas |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 74 |
| 18 |
| Descargas |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
| 0 |
Ítems relacionados
Mostrando ítems relacionados por Título, autor o materia.
-
Comparing of the behaviour of iterative methods based on different means
Amat, Sergio; Busquier, Sonia; Hernández-Verón, M A; Magreñán, Á. Alberto; Orcos, Lara (1) (AIP Conference Proceedings, 2020)Based on the modification of family of iterative processes of Chebyshev-Halley presented by M. Kansal et al. in [2], whose convergence is cubic, we will present in this talk a comparison between the behaviour of some members ... -
Improving the Dynamics of Steffensen-type Methods
Amat, Sergio; Busquier, Sonia; Magreñán, Á. Alberto (1) (Applied Mathematics and Information Sciences, 2015)The dynamics of Steffesen-type methods, using a graphical tool for showing the basins of attraction, is presented. The study includes as particular cases, Steffesen-type modifications of the Newton, the two-steps, the ... -
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
Amat, Sergio; Busquier, Sonia; Bermúdez, Concepción; Magreñán, Á. Alberto (1) (Algorithms, 09/2015)This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution ...
