Feil, T. M. and Homeier, Herbert H. H. (2004) Programs for the approximation of real and imaginary single- and multi-valued functions by means of Hermite-Pade-approximants. COMPUTER PHYSICS COMMUNICATIONS, 158 (2). pp. 124-135. ISSN 0010-4655, 1879-2944
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EFFECTIVE CHARACTERISTIC-POLYNOMIALS; GROUND-STATE ENERGY; ANHARMONIC-OSCILLATOR; PERTURBATION EXPANSION; CYCLIC POLYENES; HUBBARD-MODEL; PPP MODEL; SUMMATION; SERIES; convergence acceleration; summation; extrapolation; perturbation theory; anharmonic oscillators |
| Subjects: | 500 Science > 530 Physics 500 Science > 540 Chemistry & allied sciences |
| Divisions: | Physics > Institute of Experimental and Applied Physics Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Jul 2021 08:58 |
| Last Modified: | 22 Jul 2021 08:58 |
| URI: | https://pred.uni-regensburg.de/id/eprint/37772 |
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