Transforming logarithmic to linear convergence by interpolation

Homeier, Herbert H. H. (1999) Transforming logarithmic to linear convergence by interpolation. APPLIED MATHEMATICS LETTERS, 12 (2). pp. 13-17. ISSN 0893-9659,

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Abstract

We propose to map logarithmically converging sequences to linearly converging sequences using interpolation. After this, convergence accelerators 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 approach is demonstrated for a particular example. (C) 1998 Elsevier Science Ltd. All rights reserved.

Item Type: Article
Uncontrolled Keywords: SEQUENCES; ACCELERATION; EXTRAPOLATION; convergence acceleration; extrapolation; logarithmic convergence; linear convergence; Epsilon algorithm; rational interpolation; reciprocal differences
Subjects: 500 Science > 540 Chemistry & allied sciences
Divisions: Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie
Depositing User: Dr. Gernot Deinzer
Date Deposited: 15 Nov 2022 07:59
Last Modified: 15 Nov 2022 07:59
URI: https://pred.uni-regensburg.de/id/eprint/48445

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