An empirical study of the convergence area and convergence speed of Agarwal et al. fixed point iteration procedure


 Ardelean, Gheorghe and  Balog, Laszlo


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We present an empirical study of the convergence area and speed of Agarwal et al. fixed point iterative procedure in the particular case of the Newton’s method associated to the complex polynomials p_{3}(z)=z^3-1 and p_{8}(z)=z^8-1. In order to obtain an analytical expression for the experimental data related to the mean number of iterations (MNI) and convergence area index (CAI), we use regression analysis and find some linear and nonlinear bi-variable models with good correlation coefficients.

 

 

 

 

 

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Ardelean, Gheorghe, Balog, Laszlo