Acceleration of convergence of interval sequences (Q1339351)

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scientific article; zbMATH DE number 699107
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Acceleration of convergence of interval sequences
scientific article; zbMATH DE number 699107

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    Acceleration of convergence of interval sequences (English)
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    8 October 1995
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    The author defines acceleration of convergence of a sequence of intervals using the segment limit introduced by \textit{Bl. Sendov} [Hausdorff approximations (1990; Zbl 0715.41001); for the Russian original see (1979; Zbl 0416.41002)]. The Aitken-\(\Delta^ 2\) acceleration process has been generalized for interval sequences. A characterization of the acceleration is given for the case when the interval sequence converges to a degenerate interval.
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    Aitken-\(\Delta^ 2\) acceleration
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    acceleration of convergence
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    sequence of intervals
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    segment limit
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    degenerate interval
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