Abstract
A new direct approximate method for the computation of zeros of analytic functions is proposed. For such a function possessing one real zero in a finite part of the real axis, this method permits the determination of this zero with a satisfactory accuracy by using a quite elementary algorithm. The present method is based on the Gauss- and Lobatto-Chebyshev quadrature rules for Cauchy type principal value integrals and is always convergent. The simplicity, accuracy and unrestricted convergence of the proposed method make it competitive to the analogous classical elementary methods. Numerical results are also presented.
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