ALGORITHM FOR THE LOCALIZATION OF SINGULARITIES OF FUNCTIONS DEFINED ON CLOSED CONTOURS

Abstract

A numerical algorithm for locating polar singularities of functions defined on a discrete set of points of a simple closed contour in the complex plane is examined. The algorithm uses the Faber-Pad ́e approximation of the function and the fact that the zeros of its denominator give us approximations of the poles of function. The numerical performance of the algorithm is being analyzed on test issues.

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Keywords

Pade algorithm, singular points, closed contour

Citation

CAPCELEA, M., CAPCELEA, T. Algorithm for the localization of singularities of functions defined on closed contours. In: The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM, 2017, pp. 369-372. ISBN 978-9975-71-915-5.

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