A new family of optimal fourth-order iterative methods for nonlinear equations

被引：2
|
作者：
Ozban, Ahmet Yasar [1 ,2 ]
Kaya, Bahar [1 ]
机构：
[1] Cankiri Karatekin Univ, Dept Math, TR-18100 Uluyazi, Cankiri, Turkey
[2] OSYM Baskanligi, TR-106800 Ankara, Turkey
来源：
RESULTS IN CONTROL AND OPTIMIZATION | 2022年 / 8卷
关键词：
Iterative method; Order of convergence; Optimal method; Fourth-order method; Iterative method without memory; CONSTRUCTION;
D O I：
10.1016/j.rico.2022.100157
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new two-parameter family of fourth-order iterative methods for the numerical solution of nonlinear equations of the form f(x) = 0 has been introduced and their convergence analysis have been performed. The new methods in the family are optimal in the sense of Kung-Traub conjecture. Numerical tests which are made to support the theoretical results also show that our new family of optimal fourth order methods perform well and in many cases some members of the family are superior to other well-known and recent fourth order optimal methods in the literature.
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页数：11
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