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Approximating functions by means of symbolic computation and a general extrapolation method

✍ Scribed by J. Grotendorst

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 557 KB
Volume: 59
Category: Article
ISSN: 0010-4655
DOI: 10.1016/0010-4655(90)90178-4

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✦ Synopsis

Using a general extrapolation algorithm we present MAPLE procedures for the generation of polynomial and rational approximations to functions having formal series expansions. This algorithm, which has been called E algorithm or Brezinski-Hâvie (BH) protocol, includes most of the series (sequence) transformations actually known. MAPLE's ability to perform all calculations in rational arithmetic eliminates the numerical instability of the E algorithm. For numerical purposes the approximating functions can be transformed into optimized FORTRAN programs.

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