کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4608625 1338367 2014 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously
چکیده انگلیسی

In this paper we study the convergence of the famous Weierstrass method for simultaneous approximation of polynomial zeros over a complete normed field. We present a new semilocal convergence theorem for the Weierstrass method under a new type of initial conditions. Our result is obtained by combining ideas of Weierstrass (1891) and Proinov (2010). A priori and a posteriori error estimates are also provided under the new initial conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Complexity - Volume 30, Issue 3, June 2014, Pages 366–380
نویسندگان
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