کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635034 1631838 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Accelerated iterative methods for finding solutions of a system of nonlinear equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Accelerated iterative methods for finding solutions of a system of nonlinear equations
چکیده انگلیسی
In this paper, we present a technique to construct iterative methods to approximate the zeros of a nonlinear equation F(x)=0, where F is a function of several variables. This technique is based on the approximation of the inverse function of F and on the use of a fixed point iteration. Depending on the number of steps considered in the fixed point iteration, or in other words, the number of evaluations of the function F, we obtain some variants of classical iterative processes to solve nonlinear equations. These variants improve the order of convergence of classical methods. Finally, we show some numerical examples, where we use adaptive multi-precision arithmetic in the computation that show a smaller cost.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 190, Issue 2, 15 July 2007, Pages 1815-1823
نویسندگان
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