کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4645416 | 1342032 | 2012 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Semilocal convergence of a sixth order iterative method for quadratic equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Semilocal convergence of a sixth order iterative method for quadratic equations Semilocal convergence of a sixth order iterative method for quadratic equations](/preview/png/4645416.png)
چکیده انگلیسی
In this paper the modification of Chebyshevʼs iterative method constructed in Amat et al. (2008) [1], is revisited. The behavior of this method when considering quadratic nonlinear operators is analyzed. In this case, the iterative method has a competitive behavior due to its computational efficiency. Moreover, a new result of semilocal convergence assuming only a pointwise condition is obtained, improving the result given in Amat et al. (2008) [1]. The domain of uniqueness of the solution is also improved. The new technique used in the proof of these results allows us to achieve all these improvements. Finally, some theoretical and numerical applications for a quadratic system of equations are presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 62, Issue 7, July 2012, Pages 833-841
Journal: Applied Numerical Mathematics - Volume 62, Issue 7, July 2012, Pages 833-841