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Transforming Logarithmic to Linear Convergence by Interpolation

URN to cite this document:
DOI to cite this document:
Homeier, H. H. H.
License: Creative Commons: Attribution-Noncommercial-No Derivative Works 3.0
PDF - Submitted Version
Preprint TC-NA-97-7
Date of publication of this fulltext: 22 Feb 2011 09:35


We propose to map logarithmically converging sequences to linearly
converging sequences using interpolation. After this, convergence acceler-
ators for linear convergence become effective. The interpolation approach
works also if only relatively few members of the problem sequence are
known, contrary to several other approaches. The effectiveness of the ap-
proach is demonstrated for a particular example.

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