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On the Localization of Zeros and Poles of Chebyshev-Padé Approximants from Perturbed Functions

  • João Carrilho de Matos
  • José Matos
  • Maria João Rodrigues
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8584)

Abstract

We present some numerical results about the localization of zeros and poles of Chebyshev-Padé approximants from functions perturbed with random series. These results are a natural generalization of the Froissart’s numerical experiments with power series. Our results suggest that the Froissart doublets of Chebyshev-Padé approximants are located, with probability one, on the Joukowski transform image of the natural boundary of the random power series.

Keywords

Froissart doublets Padé approximation Natural boundary 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • João Carrilho de Matos
    • 1
  • José Matos
    • 1
  • Maria João Rodrigues
    • 2
  1. 1.Instituto Superior de Engenharia do PortoPortoPortugal
  2. 2.Faculdade de Ciências da Universidade do PortoPortugal

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