Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family by means of studying the associated rational function. Parameter spaces are shown and the study of the stability of all the fixed points is presented.
['Ioannis K. Argyros', 'Alicia Cordero', 'Ángel Alberto Magreñán', 'Juan R. Torregrosa']
I am writing a research paper on a idea On the convergence of a higher order family of methods and its dynamics
[{"from": "human", "value": "I am writing a research paper on a idea On the convergence of a higher order family of methods and its dynamics"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some anomalies are found in this family by means of studying the associated rational function. Parameter spaces are shown and the study of the stability of all the fixed points is presented."}]