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https://open.uns.ac.rs/handle/123456789/16046
Title: | On Euler-like methods for the simultaneous approximation of polynomial zeros | Authors: | Petković, Milica Tričković S. Herceg D. |
Issue Date: | 1-Jan-1998 | Journal: | Japan Journal of Industrial and Applied Mathematics | Abstract: | In this paper we consider some iterative methods of higher order for the simultaneous determination of polynomial zeros. The proposed methods are based on Euler's third order method for finding a zero of a given function and involve Weierstrass' correction in the case of simple zeros. We prove that the presented methods have the order of convergence equal to four or more. Based on a fixed-point relation of Euler's type, two inclusion methods are derived. Combining the proposed methods in floating-point arithmetic and complex interval arithmetic, an efficient hybrid method with automatic error bounds is constructed. Computational aspect and the implementation of the presented algorithms on parallel computers are given. | URI: | https://open.uns.ac.rs/handle/123456789/16046 | ISSN: | 09167005 | DOI: | 10.1007/BF03167406 |
Appears in Collections: | FTN Publikacije/Publications |
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