A New Family of Fourth-Order Optimal Iterative Schemes and Remark on Kung and Traub’s Conjecture

Kung and Traub conjectured that a multipoint iterative scheme without memory based on m evaluations of functions has an optimal convergence order p=2m−1. In the paper, we first prove that the two-step fourth-order optimal iterative schemes of the same class have a common feature including a same ter...

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Bibliographic Details
Main Authors: Chein-Shan Liu, Tsung-Lin Lee
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5516694