Title of article :
Chaos in King’s iterative family
Author/Authors :
Cordero، نويسنده , , Alicia and Garcيa-Maimَ، نويسنده , , Javier and Torregrosa، نويسنده , , Juan R. and Vassileva، نويسنده , , Maria P. and Vindel، نويسنده , , Pura، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2013
Abstract :
In this paper, the dynamics of King’s family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space allows us to find elements of the family that have bad convergence properties, and also other ones with stable behavior.
Keywords :
Iterative Methods , Dynamical behavior , Fatou and Julia sets , King’s family , Nonlinear equations , Quadratic polynomials
Journal title :
Applied Mathematics Letters
Journal title :
Applied Mathematics Letters