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We propose a method to calculate all zeros of an analytic function in a given rectangle. The main idea of our method is to construct a covering of the initial rectangle by subsets where either there are no zeros or the zero uniqueness test based on the Kantorovich theorem is satisfied. The algorithm for the construction of such covering is presented. The implementation of the method is shown on different examples.

Method for the Calculation of all Zeros of an Analytic Function Based on the Kantorovich Theorem