کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709430 1012853 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Geometric mean Newton’s method for simple and multiple roots
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Geometric mean Newton’s method for simple and multiple roots
چکیده انگلیسی

In this work we consider the convergence behavior of a variant of Newton’s method based on the geometric mean. The convergence properties of this method for solving equations which have simple or multiple roots have been discussed and it has been shown that it converges cubically to simple roots and linearly to multiple roots. Moreover, the values of the corresponding asymptotic error constants of convergence are determined. Theoretical results have been verified on the relevant numerical problems. A comparison of the efficiency of this method with other mean-based Newton’s methods, based on the arithmetic and harmonic means, is also included.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 21, Issue 1, January 2008, Pages 30–36
نویسندگان
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