کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633922 1340682 2008 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some one-parameter families of third-order methods for solving nonlinear equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Some one-parameter families of third-order methods for solving nonlinear equations
چکیده انگلیسی

In this paper, two one-parameter families of irrational and rational iterative methods for solving nonlinear equations are constructed. The construction of the iterative process is based on one-point approximation by the quadratic equation x2+ay+bx+cxy+d=0x2+ay+bx+cxy+d=0. Euler, Chebyshev, Halley, Super-Halley methods can be seen as the special cases of the family. And by analysis of asymptotic errors, we prove the two families are all cubically convergent. Furthermore, the rational iterative family can be extended to Banach spaces easily.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 195, Issue 2, 1 February 2008, Pages 392–396
نویسندگان
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