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https://open.uns.ac.rs/handle/123456789/13301
Title: | Higher-order iterative methods for approximating zeros of analytic functions | Authors: | Petković, Milica Herceg D. |
Issue Date: | 30-Mar-1992 | Journal: | Journal of Computational and Applied Mathematics | Abstract: | Iterative methods with extremely rapid convergence in floating-point arithmetic and circular arithmetic for simultaneously approximating simple zeros of analytic functions (inside a simple smooth closed contour in the complex plane) are presented. The R-order of convergence of the basic total-step and single-step methods, as well as their improvements which use Newton's and Halley's corrections, is given. Some hybrid algorithms that combine the efficiency of ordinary floating-point iterative methods with the accuracy control provided by interval arithmetic are also considered. © 1992. | URI: | https://open.uns.ac.rs/handle/123456789/13301 | ISSN: | 3770427 | DOI: | 10.1016/0377-0427(92)90133-I |
Appears in Collections: | FTN Publikacije/Publications |
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