swMATH ID: 
17821

Software Authors: 
Feil, T.M.; Homeier, H.H.H.

Description: 
Programs for the approximation of real and imaginary single and multivalued functions by means of HermitePadéapproximants. We present programs for the calculation and evaluation of special type HermitePadéapproximations. They allow the user to either numerically approximate multivalued functions represented by a formal series expansion or to compute explicit approximants for them. The approximation scheme is based on HermitePadé polynomials and includes both Padé and algebraic approximants as limiting cases. The algorithm for the computation of the HermitePadé 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 multiseries approximations which can be more powerful than most summation methods. 
Homepage: 
http://www.cpc.cs.qub.ac.uk/summaries/ADSO_v1_0.html

Related Software: 
Mathematica;
Maple

Referenced in: 
5 Publications
