Abstract
In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, showing the sufficient conditions for the weight function. Many known schemes are members of this family for particular choices of the weight function. The dynamical behavior of one of these choices is presented, analyzing the stability of the fixed points and the critical points of the rational function obtained when the iterative expression is applied on low degree polynomials. Several numerical tests are given to compare different elements of the proposed family on non-polynomial problems.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference16 articles.
1. Multipoint Methods for Solving Nonlinear Equations;Petković,2013
2. Advances in Iterative Methods for Nonlinear Equations;Amat,2016
3. Solution of Equations and Systems of Equations;Ostrowski,1964
4. Optimal Order of One-Point and Multipoint Iteration
5. On efficient weighted-Newton methods for solving systems of nonlinear equations
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献