Journal of Applied Mathematics

A Family of Iterative Methods with Accelerated Eighth-Order Convergence

Alicia Cordero, Mojtaba Fardi, Mehdi Ghasemi, and Juan R. Torregrosa

Full-text: Open access

Abstract

We propose a family of eighth-order iterative methods without memory for solving nonlinear equations. The new iterative methods are developed by using weight function method and using an approximation for the last derivative, which reduces the required number of functional evaluations per step. Their efficiency indices are all found to be 1.682. Several examples allow us to compare our algorithms with known ones and confirm the theoretical results.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 282561, 9 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495274

Digital Object Identifier
doi:10.1155/2012/282561

Mathematical Reviews number (MathSciNet)
MR2965709

Zentralblatt MATH identifier
1251.65067

Citation

Cordero, Alicia; Fardi, Mojtaba; Ghasemi, Mehdi; Torregrosa, Juan R. A Family of Iterative Methods with Accelerated Eighth-Order Convergence. J. Appl. Math. 2012 (2012), Article ID 282561, 9 pages. doi:10.1155/2012/282561. https://projecteuclid.org/euclid.jam/1355495274


Export citation