Interpolatory four-parametric adaptive method with memory for solving nonlinear equations

Document Type : Original Article


Faculty of Basic Science, Hamedan Branch IAU, Hamedan, Iran


The adaptive technique enables us to achieve the highest efficiency index theoretically and practically. The idea of introducing an adaptive self-accelerator (via all the old infor-mation for Steffensen-type methods) is new and efficient to obtain the highest efficiency index.In this work,we have used four self-accelerating parameters and have increased the order of convergence from 8 to 16.I.e.any new function evaluations the convergence order improve up to 100%. The numerical results are compared without and with memory
methods and confirm that the proposed methods have more efficiency index than other methods.


Main Subjects