A family of eighth-order iterative methods for the solution of nonlinear equations is presented. The new family of eighth-order methods is based on King's fourth-order methods and the family of sixth-order iteration methods developed by Chun et al. Per iteration the new methods require three evaluat
Efficient three-step iterative methods with sixth order convergence for nonlinear equations
✍ Scribed by Alicia Cordero; José L. Hueso; Eulalia Martínez; Juan R. Torregrosa
- Publisher
- Springer US
- Year
- 2009
- Tongue
- English
- Weight
- 289 KB
- Volume
- 53
- Category
- Article
- ISSN
- 1017-1398
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📜 SIMILAR VOLUMES
order a b s t r a c t In this paper, based on Ostrowski's method, a new family of eighth-order methods for solving nonlinear equations is derived. In terms of computational cost, each iteration of these methods requires three evaluations of the function and one evaluation of its first derivative, s
Algebraic and differential equations generally co-build mathematical models. Either lack or intractability of their analytical solution often forces workers to resort to an iterative method and face the likely challenges of slow convergence, non-convergence or even divergence. This manuscript presen