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Rational Approximation and Interpolation pp 11–26Cite as

Survey on recent advances in inverse problems of Padé approximation theory

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1105))

Abstract

Suppose a formal power series is given and that we know some facts about the (asymptotic) behavior of the poles (or part of them) for a certain subsequence of the associated Padé approximants. Inverse problems deal with finding out, with just this information, as much as possible about the analytical properties of the function corresponding to the power series. In the past two years, very important results have been obtained in this direction.

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Author information

Authors and Affiliations

  1. Fac. of Phys. and Mathematics, Univ. of Havana, Havana, Cuba

    G. López Lagomasino

  2. Fac. of Mech. and Mathematics, Univ. of Moscow, Moscow, Russian Federation

    V. V. Vavilov

Authors
  1. G. López Lagomasino
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  2. V. V. Vavilov
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Editor information

Peter Russell Graves-Morris Edward B. Saff Richard S. Varga

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© 1984 Springer-Verlag

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Lagomasino, G.L., Vavilov, V.V. (1984). Survey on recent advances in inverse problems of Padé approximation theory. In: Graves-Morris, P.R., Saff, E.B., Varga, R.S. (eds) Rational Approximation and Interpolation. Lecture Notes in Mathematics, vol 1105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072397

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  • DOI: https://doi.org/10.1007/BFb0072397

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13899-0

  • Online ISBN: 978-3-540-39113-5

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