toms793


toms793, a Fortran77 code which carries out Gauss quadrature for rational functions, by Walter Gautschi. This is commonly called gqrat(). This is a version of ACM TOMS algorithm 793.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

toms793 is available in a FORTRAN77 version.

Related Data and Programs:

toms793_test

quad_rule, a FORTRAN77 library which defines quadrature rules for approximating an integral over a 1D domain.

toms655, a FORTRAN77 library which computes the weights for interpolatory quadrature rules; this library is commonly called IQPACK; this is ACM toms algorithm 655.

toms726, a FORTRAN77 library which computes recursion coefficients for orthogonal polynomials, and the abscissa and weights for related quadrature rules; this library is commonly called ORTHPOL; this is ACM toms algorithm 726.

Reference:

  1. Walter Gautschi,
    Algorithm 793: GQRAT, Gauss Quadrature for Rational Functions,
    ACM Transactions on Mathematical Software,
    Volume 25, Number 2, pages 213-239, June 1999.

Source Code:


Last revised on 02 December 2023.