𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal Steffensen-type methods with eighth order of convergence

✍ Scribed by F. Soleymani; S. Karimi Vanani


Book ID
113512156
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
236 KB
Volume
62
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Three-step iterative methods with optima
✍ Alicia Cordero; Juan R. Torregrosa; MarΓ­a P. Vassileva πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 206 KB

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

A family of modified Ostrowski’s methods
✍ Alicia Cordero; Juan R. Torregrosa; MarΓ­a P. Vassileva πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 214 KB

In this paper, we derive a new family of eighth-order methods for obtaining simple roots of nonlinear equations by using the weight function method. Each iteration of these methods requires three evaluations of the function and one evaluation of its first derivative, so that their efficiency indices