Error Control in Convergence Acceleration Processes
- 1 January 1983
- journal article
- research article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 3 (1) , 65-80
- https://doi.org/10.1093/imanum/3.1.65
Abstract
A procedure for estimating the error on the transformed sequence obtained by a convergence acceleration method is given. The procedure generates a sequence of intervals which asymptotically contain the limit of the sequence to be accelerated. The procedure is used to construct a test for the automatic selection of a sequence transformation among several others. Theoretical results on this selection method are proved. Numerical results illustrate the procedures.Keywords
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