Article ID Journal Published Year Pages File Type
4630826 Applied Mathematics and Computation 2011 8 Pages PDF
Abstract

There exists a real competition between authors to construct improved iterative methods for solving nonlinear equations. In this paper, by using computer experiment, we study the basins of attraction for some of the iterative methods for solving the equation P(z) = 0, where P:C→CP:C→C is a complex coefficients polynomial, and this allows us to compare their performances (the area of convergence and theirs speed). The beauty fractal pictures generated by these methods are presented too.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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