The Fastest Three-Step with Memory Method by Four Self-Accelerating Parameters

Author(s):

Vali Torkashvand * , Manochehr Kazemi

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this paper,a new family of eighth-order iterative methods for solving simple roots of nonlinear equations is developed.Each member of the proposed family requires four functional evaluations in each iteration that it is optimal according to the sense of Kung-Traub’s conjecture.They have four self-accelerating parameters that are calculated using the adaptive method.The R-order of convergence has increased from 8 to 16 (maximum improvement).
Keywords:

With-Memory Method , Accelerator Parameter , Weight Function , R-Order Of Convergence , Nonlinear Equations

Language:
English
Published:
Analytical and Numerical Solutions for Nonlinear Equations, Volume:7 Issue: 2, Winter and Spring 2022
Pages:
243 to 263
https://www.magiran.com/p2761535  
سامانه نویسندگان
  • Vali Torkashvand
    Corresponding Author (1)
    Torkashvand، Vali
  • Manochehr Kazemi
    Author (2)
    Kazemi، Manochehr
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