A NEW TWO STEP CLASS OF METHODS WITH MEMORY FOR SOLVING NONLINEAR EQUATIONS WITH HIGH EFFICIENCY INDEX
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJMAC-4-3_007
تاریخ نمایه سازی: 28 دی 1401
Abstract:
It is attempted to extend a two-step without memory method to it's with memory. Then, a new two-step derivative free class of without memory methods, requiring three function evaluations per step, is suggested by using a convenient weight function for solving nonlinear equations. Eventually, we obtain a new class of methods by employing a self-accelerating parameter calculated in each iterative step applying only information from the current and the previous iteration, defining a with memory class. Although these improvements are achieved without any additional function evaluations, the R -order of convergence are boosted from ۴ to ۵.۲۴ and ۶, respectively, and it is demonstrated that the proposed with memory classes provide a very high computational efficiency. Numerical examples are put forward and the performances are compared with the basic two-step without memory methods.
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Authors
Taher Lotfi
Isalmic Azad University- Hamedan Branch Nonlinear Systems of EquationsInterval Analysis Absolute Value EquationsGeneralized inversesMoore_penrose InversesReproducing kernel methods
Paria Assari
Isalmic Azad University- Hamedan Branch