Abstract
In this paper, we introduce a new family of efficient and optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity ( m ≥ 1 ) . We use the weight function approach involving one and two parameters to develop the new family. A comprehensive convergence analysis is studied to demonstrate the optimal eighth-order convergence of the suggested scheme. Finally, numerical and dynamical tests are presented, which validates the theoretical results formulated in this paper and illustrates that the suggested family is efficient among the domain of multiple root finding methods.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference24 articles.
1. Solution of Equations and Systems of Equations;Ostrowski,1960
2. Multipoint Methods for Solving Nonlinear Equations;Petkovic,2013
3. Iterative Methods for the Solution of Equations;Traub,1964
4. Ueber unendlich viele Algorithmen zur Aufl�sung der Gleichungen
5. An Efficient Family of Optimal Fourth-Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations
Cited by
12 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