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Numerical methods and programming, 2017, Volume 18, Issue 2, Pages 115–128
(Mi vmp864)
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A globally convergent method for finding zeros of integer functions of finite order
A. N. Gromov Moscow State Institute of International Relations at Odintsovo
Abstract:
A method for finding zeros of integer functions of finite order is proposed. This method converges to a root starting from an arbitrary initial point and, hence, is globally convergent. The method is based on a representation of higher-order derivatives of the logarithmic derivative as a sum of partial fractions and reduces the finding of a root to the choice of the minimum number from a finite set. The rate of convergence is estimated.
Keywords:
global convergence, logarithmic derivative, higher-order derivative, partial fractions, Cauchy-Hadamard formula.
Received: 03.10.2016
Citation:
A. N. Gromov, “A globally convergent method for finding zeros of integer functions of finite order”, Num. Meth. Prog., 18:2 (2017), 115–128
Linking options:
https://www.mathnet.ru/eng/vmp864 https://www.mathnet.ru/eng/vmp/v18/i2/p115
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Abstract page: | 117 | Full-text PDF : | 43 |
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