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A Maple package for transforming series, sequences and functions

✍ Scribed by J. Grotendorst


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
913 KB
Volume
67
Category
Article
ISSN
0010-4655

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✦ Synopsis


In recent years many powerful sequence transformations, mainly nonlinear methods, for increasing the rate and expanding the domain of the convergence of series (sequences) were designed. The program trans is a revised package of Maple functions for transforming symbolic and numerical series (sequences) as well as functions having formal series expansions. Each sequence transformation is performed using a special recursive algorithm. This approach yields more efficient programs compared to an implementation via the general extrapolation algorithm of Brezinski and HΓ’vie which contains many of the transformations as special cases. The new Maple package trans differs from the original (Comput. Phys. Commun. 59 (1990) 289) in efficiency, extended capabilities and revised notation.


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