'Periodica Polytechnica Budapest University of Technology and Economics'
Abstract
The paper presents three modifications of the Aitken accelerator for slowly or irregularly
convergent sequences. The first proposal, based on backward extension of a sequence,
is particularly useful if a small number of regular sequence terms is known. The next
two procedures - integral exponential and hyperbolic - can be applied to sequences with
irregular or disturbed convergence. Numerical examples show essential error reduction of
the limit of sequences under consideration