Title of article
The Fastest Three-Step with Memory Method by Four Self-Accelerating Parameters
Author/Authors
Torkashvand ، Vali Department of Mathematics Farhangian University Tehran , Kazemi ، Manochehr Department of Mathematics - Islamic Azad University, Ashtian Branch
From page
243
To page
263
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
Journal title
Global Analysis and Discrete Mathematics
Journal title
Global Analysis and Discrete Mathematics
Record number
2752384
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