TOMS793
Gauss Quadrature for Rational Functions

TOMS793 is a FORTRAN77 library which determines Gauss quadrature rules for rational functions.

Languages:

TOMS793 is available in a FORTRAN77 version.

Related Data and Programs:

QUADRULE, 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:

• toms793.f, the source code.

Examples and Tests:

• toms793_prb.f, a sample calling program.
• toms793_prb_output.txt, the output file.

List of Routines:

• D1MACH returns double precision real machine-dependent constants.
• DABMOD ???
• DGAUSS ???
• DGCHRS ???
• DGQRAT ???
• DKNUM ???
• DLANCZ ???
• DRECUR ???
• DLGA evaluates the logarithm of the Gamma function.
• DGAMMA evaluates the gamma function.
• DSTI ???
• I1MACH returns integer machine dependent constants.
• NU0HER ???
• NU0JAC ???
• NU0LAG ???
• TIMESTAMP prints out the current YMDHMS date as a timestamp.

You can go up one level to the FORTRAN77 source codes.