𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A family of Steffensen type methods with seventh-order convergence

✍ Scribed by Xiaofeng Wang, Tie Zhang

Book ID
120755065
Publisher
Springer US
Year
2012
Tongue
English
Weight
288 KB
Volume
62
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Some variants of Ostrowski's method with
Some variants of Ostrowski's method with seventh-order convergence
✍ Jisheng Kou; Yitian Li; Xiuhua Wang πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 135 KB

In this paper, we present a class of new variants of Ostrowski's method with order of convergence seven. Per iteration the new methods require three evaluations of the function and one evaluation of its first derivative and therefore this class of methods has the efficiency index equal to 1.627. Num

A family of modified Ostrowski’s methods
A family of modified Ostrowski’s methods with optimal eighth order of convergence
✍ 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