Transforming logarithmic to linear convergence by interpolation

Authors
Homeier, HHH
Citation
Hhh. Homeier, Transforming logarithmic to linear convergence by interpolation, APPL MATH L, 12(2), 1999, pp. 13-17
Citations number
28
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
12
Issue
2
Year of publication
1999
Pages
13 - 17
Database
ISI
SICI code
0893-9659(199903)12:2<13:TLTLCB>2.0.ZU;2-0
Abstract
We propose to map logarithmically converging sequences to linearly convergi ng 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 demonstra ted for a particular example. (C) 1998 Elsevier Science Ltd. All rights res erved.