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.
Torkashvand, V. (2023). Interpolatory four-parametric adaptive method with memory for solving nonlinear equations. AUT Journal of Mathematics and Computing, (), -. doi: 10.22060/ajmc.2023.22090.1132
MLA
Vali Torkashvand. "Interpolatory four-parametric adaptive method with memory for solving nonlinear equations". AUT Journal of Mathematics and Computing, , , 2023, -. doi: 10.22060/ajmc.2023.22090.1132
HARVARD
Torkashvand, V. (2023). 'Interpolatory four-parametric adaptive method with memory for solving nonlinear equations', AUT Journal of Mathematics and Computing, (), pp. -. doi: 10.22060/ajmc.2023.22090.1132
VANCOUVER
Torkashvand, V. Interpolatory four-parametric adaptive method with memory for solving nonlinear equations. AUT Journal of Mathematics and Computing, 2023; (): -. doi: 10.22060/ajmc.2023.22090.1132
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