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

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Computational Science and Its Applications – ICCSA 2014 (ICCSA 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8584))

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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.

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References

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Author information

Authors and Affiliations

  1. Instituto Superior de Engenharia do Porto, Porto, Portugal

    João Carrilho de Matos & José Matos

  2. Faculdade de Ciências da Universidade do Porto, Portugal

    Maria João Rodrigues

Authors
  1. João Carrilho de Matos
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  2. José Matos
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  3. Maria João Rodrigues
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Editor information

Editors and Affiliations

  1. School of Engineering, University of Basilicata, 85100, Potenza, Italy

    Beniamino Murgante

  2. Department of Computer and Information Sciences, Covenant University, Ota, Nigeria

    Sanjay Misra

  3. Department of Production and Systems, University of Minho, 4710-057, Braga, Portugal

    Ana Maria A. C. Rocha

  4. DICAR, Polytecnico di Bari, 70125, Bari, Italy

    Carmelo Torre

  5. University of Minho, Braga, Portugal

    Jorge Gustavo Rocha  & Maria Irene Falcão  & 

  6. Monash University, 3800, Clayton, VIC, Australia

    David Taniar

  7. Department of Intelligent Informatics, Kyushu Sangyo University, 2-3-1 Matsukadai, 813-8503, Higashi-ku, Fukuoka, Japan

    Bernady O. Apduhan

  8. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

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© 2014 Springer International Publishing Switzerland

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de Matos, J.C., Matos, J., Rodrigues, M.J. (2014). On the Localization of Zeros and Poles of Chebyshev-Padé Approximants from Perturbed Functions. In: Murgante, B., et al. Computational Science and Its Applications – ICCSA 2014. ICCSA 2014. Lecture Notes in Computer Science, vol 8584. Springer, Cham. https://doi.org/10.1007/978-3-319-09153-2_36

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  • DOI: https://doi.org/10.1007/978-3-319-09153-2_36

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09152-5

  • Online ISBN: 978-3-319-09153-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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