کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4642618 1341350 2007 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A posteriori error bound methods for the inclusion of polynomial zeros
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A posteriori error bound methods for the inclusion of polynomial zeros
چکیده انگلیسی

Using Carstensen's results from 1991 we state a theorem concerning the localization of polynomial zeros and derive two a posteriori error bound methods with the convergence order 3 and 4. These methods possess useful property of inclusion methods to produce disks containing all simple zeros of a polynomial. We establish computationally verifiable initial conditions that guarantee the convergence of these methods. Some computational aspects and the possibility of implementation on parallel computers are considered, including two numerical examples. A comparison of a posteriori error bound methods with the corresponding circular interval methods, regarding the computational costs and sizes of produced inclusion disks, were given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 208, Issue 2, 15 November 2007, Pages 316–330
نویسندگان
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