Programs for the approximation of real and imaginary single- and multi-valued functions by means of Hermite–Padé-approximants

Published: 1 April 2004| Version 1 | DOI: 10.17632/shkrs9vdfh.1
T.M. Feil, H.H.H. Homeier


Abstract We present programs for the calculation and evaluation of special type Hermite–Padé-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–Padé polynomials and includes both Padé and algebraic approximants as limiting cases. The algorithm for the computation of the Hermite–Padé polynomials is based on a set of recursive equat... Title of program: Catalogue Id: ADSO_v1_0 Nature of problem Many physical and chemical quantum systems lead to the problem of evaluating a function for which only a limited series expansion is known. These functions can be numerically approximated by summation methods even if the corresponding series is only asymptotic. With the help of Hermite-Padé approximants many different approximation schemes can be realised. Padé and algebraic approximants are just well known examples. Hermite-Padé approximants combine the advantages of highly accurate numerical r ... Versions of this program held in the CPC repository in Mendeley Data ADSO_v1_0;; 10.1016/j.cpc.2004.02.002 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)



Computational Physics, Computer Algebra System, Computational Method