 Cybernetics and Systems Analysis /  Issue (2019, 55 (3))
Semenov V.Y.,
Semenova E.V.
Method for localization of zeros of analytic functions based on Krawczyk operator The problem of localizing the zeros of analytic functions using the Krawczyk operator is considered. Formulas are obtained for computing the image of the Krawczyk operator for analytic functions. Based on this, a new algorithm for localizing the zeros is proposed. The use of the method is demonstrated by numerical examples including the search for the zeros of the Riemann zeta function. © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Keywords: analytic function, Krawczyk operator, nonlinear equation, root localization, Taylor expansion, Functional analysis, Nonlinear equations, Numerical methods, Analytic functions, Krawczyk operators, Riemann zeta functions, root localization, Taylor expansions, Zeros of analytic functions, Functions
Cite:
Semenov V.Y.,
Semenova E.V.
(2019). Method for localization of zeros of analytic functions based on Krawczyk operator. Cybernetics and Systems Analysis, 55 (3), 194-200. doi: https://doi.org/10.1007/s10559-019-00159-y http://jnas.nbuv.gov.ua/article/UJRN-0000986330 [In Russian]. |
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