کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632242 1340640 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Removing multiplicities in C by double newtonization
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Removing multiplicities in C by double newtonization
چکیده انگلیسی
The graphical analysis of the zero level curves of the imaginary and real parts of a complex-valued analytic function f is used, both to localize the zeros of the function and to count their multiplicities. The comparison of the referred level curves with the zero level curves of F=f/f′ (for which a multiple zero of f becomes simple) is made in order to predict good initial guesses for the iterative process defined by the iteration function Nf, which we called the double newtonization of f. This approach enables us to obtain high precision approximations for the zeros of f, regardless of their multiplicities. Several examples of analytic functions are presented to illustrate the results obtained. In these examples the occurrence of extraneous zeros is observed, and their location is in agreement with a classical theorem of Gauss-Lucas for polynomials.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 2, 15 September 2009, Pages 562-572
نویسندگان
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