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\begin{document}
\title{On Remainder Estimates for {L}evin-type Sequence Transformations}
\author{H. H. H. Homeier\thanks{na.hhomeier@na-net.ornl.gov}\, and
E. J. Weniger\thanks{Joachim.Weniger@chemie.uni-regensburg.de}
\\
{\small Institut f\"ur Physikalische und Theoretische Chemie}\\
{\small Universit\"at Regensburg}\\
{\small D-93040 Regensburg}\\
{\small Federal Republic of Germany
}}
\date{June 22, 1995}
\maketitle
Remainder estimates for Levin-type sequence transformations are
discussed. A new remainder estimate is introduced which is related to
the Kummer transformation. Test cases are presented which show that the
new remainder estimate can enhance the performance of Levin-type
sequence transformations considerably.

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Keywords: 
Nonlinear sequence transformations.\ Convergence acceleration.\
Extrapolation.\
Iterative algorithms.\ Levin transformation.\ Weniger
transformation.\ ${\cal J}$ transformation.\ Kummer transformation

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Mathematical Subject Classification: 
{65B05, 65B10, 42A20}

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Accepted for publication by Computer Physics Communications
\end{document}