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On the simultaneous determination of the zeros of an analytic function inside a simple smooth closed contour in the complex plane |
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| Authors: | L Atanassova |
| Institution: | Institute of Mathematics, Bulgarian Academy of Sciences, ‘Acad. G. Bonchev’ str., bl. 8, BG-1113 Sofia, Bulgaria |
| Abstract: | A family of higher-order iterative methods for the simultaneous determination of all simple or multiple zeros of an analytic function (inside a simple smooth closed contour) is obtained using earlier results of the author. With the help of circular arithmetic, the interval variant of this family is proposed. Many parallel iterative methods of the literature are special cases of this family. |
| Keywords: | Analytic function Meromorphic function Polynomial Simultaneous iterative method Zeros Order of convergence |
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