On optimal fourth-order iterative methods free from second derivative and their dynamics
作者:
Highlights:
•
摘要
In this paper new fourth order optimal root-finding methods for solving nonlinear equations are proposed. The classical Jarratt’s family of fourth-order methods are obtained as special cases. We then present results which describe the conjugacy classes and dynamics of the presented optimal method for complex polynomials of degree two and three. The basins of attraction of existing optimal methods and our method are presented and compared to illustrate their performance.
论文关键词:Iterative methods,Order of convergence,Rational maps,Basin of attraction,Julia sets,Conjugacy classes
论文评审过程:Available online 2 January 2012.
论文官网地址:https://doi.org/10.1016/j.amc.2011.12.013