کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1140723 | 956739 | 2008 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the convergence condition of generalized root iterations for the inclusion of polynomial zeros
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the convergence condition of generalized root iterations for the inclusion of polynomial zeros On the convergence condition of generalized root iterations for the inclusion of polynomial zeros](/preview/png/1140723.png)
چکیده انگلیسی
Using a fixed point relation based on the logarithmic derivative of the k-th order of an algebraic polynomial and the definition of the k-th root of a disk, a family of interval methods for the simultaneous inclusion of complex zeros in circular complex arithmetic was established by Petković [M.S. Petković, On a generalization of the root iterations for polynomial complex zeros in circular interval arithmetic, Computing 27 (1981) 37–55]. In this paper we give computationally verifiable initial conditions that guarantee the convergence of this parallel family of inclusion methods. These conditions are significantly relaxed compared to the previously stated initial conditions presented in literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 78, Issue 1, June 2008, Pages 12–26
Journal: Mathematics and Computers in Simulation - Volume 78, Issue 1, June 2008, Pages 12–26
نویسندگان
Miodrag S. Petković, Dušan M. Milošević,