Title of article :
Using Majorizing Sequences for the Semi-local Convergence of a High-Order and Multipoint Iterative Method along with Stability Analysis
Author/Authors :
Moccari, M Hamedan Branch - Islamic Azad University, Iran , Lotfi, T Hamedan Branch - Islamic Azad University, Iran
Abstract :
This paper deals with the study of relaxed conditions for
semi-local convergence for a general iterative method, k-step Newton's
method, using majorizing sequences. Dynamical behavior of the men-
tioned method is also analyzed via Julia set and basins of attraction.
Numerical examples of nonlinear systems of equations will be examined
to verify the given theory.
Keywords :
Basin of attraction , Julia set , Semi-local convergence , High order of conver- gence , Majorizing sequence
Journal title :
Journal of Mathematical Extension(IJME)
