A faster King-Werner-type iteration and its convergence analysis

被引：0
|
作者：
Sharma, Janak Raj [1 ]
Argyros, Ioannis K. [2 ]
Kumar, Sunil [1 ]
机构：
[1] St Longowal Inst Engn & Technol, Dept Math, Longowal, India
[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA
来源：
APPLICABLE ANALYSIS | 2020年 / 99卷 / 14期
关键词：
King-Werner method; local convergence; semi-local convergence; Banach space; Euclidean space; 1&SQUARE-ROOT2 ORDER METHOD; NEWTON-LIKE METHOD; EQUATIONS; FORMULAS; SYSTEMS; FAMILY;
D O I：
10.1080/00036811.2019.1569228
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new faster two-step King-Werner-type iterative method for solving nonlinear equations. The methodology is based on rational Hermite interpolation. The local as well as semi-local convergence analyses are presented under weak center Lipschitz and Lipschitz conditions. The convergence order is increased from 1+ root 2 to 3 without any additional function calculations. Another advantage is the convenient fact that this method does not use derivatives. Numerical examples further validate the theoretical results.
引用
收藏
页码：2526 / 2542
页数：17
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