کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632681 1340651 2010 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A novel cubically convergent iterative method for computing complex roots of nonlinear equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A novel cubically convergent iterative method for computing complex roots of nonlinear equations
چکیده انگلیسی
A fast and simple iterative method with cubic convergent is proposed for the determination of the real and complex roots of any function F(x) = 0. The idea is based upon passing a defined function G(x) tangent to F(x) at an arbitrary starting point. Choosing G(x) in the form of xk or kx, where k is obtained for the best correlation with the function F(x), gives an added freedom, which in contrast to all existing methods, accelerates the convergence. Also, this new method can find complex roots just by a real initial guess. This is in contrast to many other methods like the famous Newton method that needs complex initial guesses for finding complex roots. The proposed method is compared to some new and famous methods like Newton method and a modern solver that is fsolve command in MATLAB. The results show the effectiveness and robustness of this new method as compared to other methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 6, 15 November 2010, Pages 2608-2618
نویسندگان
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