A comparison of some fixed point iteration procedures by using the basins of attraction Article Swipe

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Gheorghe Ardelean , Ovidiu Cosma , LASZLO BALOG ·

YOU? · · 2016 · Open Access · · DOI: https://doi.org/10.37193/cjm.2016.03.03 · OA: W3158558077

Several iterative processes have been defined by researchers to approximate the fixed points of various classes operators. In this paper we present, by using the basins of attraction for the roots of some complex polynomials, an empirical comparison of some iteration procedures for fixed points approximation of Newton’s iteration operator. Some numerical results are presented. The Matlab m-files for generating the basins of attraction are presented, too.