Generating the basins of attraction for Newton’s method


Gheorghe Ardelean


Abstract

creative_2008_17_3_285_292_abstract

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There are many ways to view the basins of attraction for Newton's method for complex polynomials. In the paper a program to perform this task is presented. It determines if the Newton's method is converging from any point in a rectangular domain in R  R, and computes the number of iterations necessary to attempt a root. The colors/number of iterations/roots and colors/roots diagrams are generated.

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Author(s)

Ardelean, Gheorghe