Zusammenfassung
We present programs for the calculation and evaluation of special type Hermite-Pade-approximations. They allow the user to either numerically approximate multi-valued functions represented by a formal series expansion or to compute explicit approximants for them. The approximation scheme is based on Hermite-Pade polynomials and includes both Pade and algebraic approximants as limiting cases. The ...
Zusammenfassung
We present programs for the calculation and evaluation of special type Hermite-Pade-approximations. They allow the user to either numerically approximate multi-valued functions represented by a formal series expansion or to compute explicit approximants for them. The approximation scheme is based on Hermite-Pade polynomials and includes both Pade and algebraic approximants as limiting cases. The algorithm for the computation of the Hermite-Pade polynomials is based on a set of recursive equations which were derived from a generalization of continued fractions. The approximations retain their validity even on the cuts of the complex Riemann surface which allows for example the calculation of resonances in quantum mechanical problems. The programs also allow for the construction of multi-series approximations which can be more powerful than most summation methods. Program summary Title of program: hp.sr Catalogue identifier: ADSO Program summary URL: http://cpc.es.qub.ac.uk/summaries/ADSO Program obtainable from: CPC Program Library, Queen's University Belfast, Northern Ireland Licensing provisions: Persons requesting the program must sign the standard CPC non-profit use license Computer: Sun Ultra 10 Installation: Computing Center, University of Regensburg, Germany Operating System: Sun Solaris 7.0 Program language used: MapleV.5 Distribution format: tar gzip file Memory required to execute with typical data: 32 MB; the program itself needs only about 20 kB Number of bits in a word: 32 No. of processors used: 1 Has the code been vectorized?: no (C) 2004 Elsevier B.V. All rights reserved.
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