Yuming Chu1, Naila Rafiq2, Mudassir Shams3,*, Saima Akram4, Nazir Ahmad Mir3, Humaira Kalsoom5
CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 275-290, 2021, DOI:10.32604/cmc.2020.011907
Abstract In this article, we construct the most powerful family of simultaneous
iterative method with global convergence behavior among all the existing methods in literature for finding all roots of non-linear equations. Convergence analysis proved that the order of convergence of the family of derivative free
simultaneous iterative method is nine. Our main aim is to check out the most
regularly used simultaneous iterative methods for finding all roots of non-linear
equations by studying their dynamical planes, numerical experiments and CPU
time-methodology. Dynamical planes of iterative methods are drawn by using
MATLAB for the comparison of global convergence properties of simultaneous… More >
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