کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776208 1631970 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A convergence analysis of a fourth-order method for computing all zeros of a polynomial simultaneously
ترجمه فارسی عنوان
تجزیه و تحلیل همگرایی روش چهارم برای محاسبه تمام صفر یک چند جمله ای به طور همزمان
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In 2011, Petković, Rančić and Milošević (Petković et al., 2011) introduced and studied a new fourth-order iterative method for finding all zeros of a polynomial simultaneously. They obtained a semilocal convergence theorem for their method with computationally verifiable initial conditions, which is of practical importance. In this paper, we provide new local as well as semilocal convergence results for this method over an algebraically closed normed field. Our semilocal results improve and complement the result of Petković, Rančić and Milošević in several directions. The main advantage of the new semilocal results are: weaker sufficient convergence conditions, computationally verifiable a posteriori error estimates, and computationally verifiable sufficient conditions for all zeros of a polynomial to be simple. Furthermore, several numerical examples are provided to show some practical applications of our semilocal results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 321, September 2017, Pages 270-283
نویسندگان
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