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Some new acceleration methods for periodic-linearly convergent power series

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Publication:1182621
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DOI10.1007/BF01933181zbMath0743.65004MaRDI QIDQ1182621

Ana C. Matos

Publication date: 28 June 1992

Published in: BIT (Search for Journal in Brave)


zbMATH Keywords

numerical examplesconvergence accelerationPadé-type approximantssummation of seriesseries transformationCauchy type approximantsperiodic-linearly convergent power series


Mathematics Subject Classification ID

Approximation by rational functions (41A20) Padé approximation (41A21) Numerical summation of series (65B10)


Related Items (1)

A derivation of extrapolation algorithms based on error estimates



Cites Work

  • Padé-type approximation and general orthogonal polynomials
  • Nonstandard asymptotic analysis
  • The asymptotic behavior of sequences and new series transformations based on the Cauchy product
  • Construction of new transformations for lacunary power series based on the Cauchy-type approximants
  • Some New Convergence Acceleration Methods


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