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Acceleration property for the columns of the E-algorithm

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Abstract

A convergence acceleration result for the E-algorithm is proved for sequences such that the error has an asymptotic expansion on a scale of comparison for which a determinantal relation holds. This result is also generalized to the vector case.

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References

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Authors and Affiliations

  1. Grupo de Matemática Aplicada, Faculdade de Ciências, Universidade do Porto, 4000, Porto, Portugal

    Ana C. Matos

  2. Laboratoire d'Analyse Numérique et d'Optimisation, UFR d'IEEA-Bât M3, Université des Sciences et Techniques de Lille Flandres-Artois, 59655, Villeneuve d'Ascq-Cédex, France

    Marc Prévost

Authors
  1. Ana C. Matos
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  2. Marc Prévost
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Communicated by C. Brezinski

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Matos, A.C., Prévost, M. Acceleration property for the columns of the E-algorithm. Numer Algor 2, 393–408 (1992). https://doi.org/10.1007/BF02139476

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  • DOI: https://doi.org/10.1007/BF02139476

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