کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4636439 | 1340723 | 2007 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A family of third-order methods to solve nonlinear equations by quadratic curves approximation
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A one-parameter family of iteration functions for finding the simple roots of nonlinear equations is presented. The iteration process is based on one-point approximation by the quadratic equation x2 + ay2 + bx + cy + d = 0, where the unknowns b, c and d are determined in terms of a. Different choices of a correspond to different approximating quadratic curves, viz. parabola, circle, ellipse and hyperbola. Euler, Chebyshev, Halley, super-Halley methods and, as an exceptional case, Newton method are seen as the special cases of the family. All the methods of the family are cubically convergent except Newton's which is quadratically convergent.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 184, Issue 2, 15 January 2007, Pages 210-215
Journal: Applied Mathematics and Computation - Volume 184, Issue 2, 15 January 2007, Pages 210-215
نویسندگان
J.R. Sharma,