The Fastest Three-Step with Memory Method by Four Self-Accelerating Parameters
Publish place: Global Analysis And Discrete Mathematics، Vol: 7، Issue: 2
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_GADM-7-2_010
تاریخ نمایه سازی: 28 شهریور 1402
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 ۸ to ۱۶ (maximum improvement).
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Authors
Vali Torkashvand
Department of Mathematics Farhangian University Tehran, Iran
Manochehr Kazemi
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran.