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
Some eighth-order root-finding three-step methods
β Scribed by Jisheng Kou; Xiuhua Wang; Yitian Li
- Book ID
- 108096933
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 206 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1007-5704
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π SIMILAR VOLUMES
A uniparametric family of three-step eighth-order multipoint iterative methods requiring only a first derivative are proposed in this paper to find simple roots of nonlinear equations. Development and convergence analysis on the proposed methods is described along with numerical experiments includin
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