کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630305 | 1340598 | 2011 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The convergence of the perturbed Newton method and its application for ill-conditioned problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The convergence of the perturbed Newton method and its application for ill-conditioned problems The convergence of the perturbed Newton method and its application for ill-conditioned problems](/preview/png/4630305.png)
چکیده انگلیسی
Iterative methods, such as Newton's, behave poorly when solving ill-conditioned problems: they become slow (first order), and decrease their accuracy. In this paper we analyze deeply and widely the convergence of a modified Newton method, which we call perturbed Newton, in order to overcome the usual disadvantages Newton's one presents. The basic point of this method is the dependence of a parameter affording a degree of freedom that introduces regularization. Choices for that parameter are proposed. The theoretical analysis will be illustrated through examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 7, 1 December 2011, Pages 2988-3001
Journal: Applied Mathematics and Computation - Volume 218, Issue 7, 1 December 2011, Pages 2988-3001
نویسندگان
R. Peris, A. Marquina, V. Candela,