کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1138575 | 1489165 | 2010 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Iterative methods for use with nonlinear discrete algebraic models
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A family of multi-point iterative methods for solving nonlinear equations were described in Cordero and Torregrosa (2008) [4], and a general error analysis was given, always for a simple root. Here we study the order of convergence of such methods when we have multiple roots. We prove that the order of convergence goes down to 1 but, when the multiplicity nn is known, it may be raised to 2 by using different types of correction. For nn unknown, we show that some methods of this family converge faster than the classical Newton’s method. In addition, we provide various numerical tests which confirm or improve on theoretical results and allow us to compare some methods of the aforementioned family.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 52, Issues 7–8, October 2010, Pages 1251–1257
Journal: Mathematical and Computer Modelling - Volume 52, Issues 7–8, October 2010, Pages 1251–1257
نویسندگان
Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa,