Adaptive Steffensen-like Methods with Memory for Solving Nonlinear Equations with the Highest Possible Efficiency Indices
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJIM-11-4_009
تاریخ نمایه سازی: 26 دی 1402
Abstract:
The primary goal of this work is to introduce two adaptive Steffensen-like methods with memory of the highest efficiency indices. In the existing methods, to improve the convergence order applied to memory concept, the focus has only been on the current and previous iteration. However, it is possible to improve the accelerators. Therefore, we achieve superior convergence orders and obtain as high efficiency indices as possible.
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Authors
M. J. Lalehchini
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
T. Lotfi
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
K. Mahdiani
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.