toms726
toms726,
a Fortran77 code which
computes recursion coefficients for orthogonal polynomials,
and the abscissa and weights for related quadrature rules,
by Walter Gautschi.
This is commonly called orthpol().
This is a version of ACM TOMS algorithm 726.
Licensing:
The computer code and data files made available on this
web page are distributed under
the MIT license
Languages:
toms726 is available in
a FORTRAN77 version and
a FORTRAN90 version.
Related Data and Programs:
toms726_test
toms655,
a FORTRAN77 code which
computes the weights for interpolatory quadrature rules.
toms793,
a FORTRAN77 library which
carries out Gauss quadrature for rational functions,
by Walter Gautschi;
this is ACM toms algorithm 793.
Reference:
-
William Cody, Kenneth Hillstrom,
Chebyshev Approximations for the Natural Logarithm of the
Gamma Function,
Mathematics of Computation,
Volume 21, Number 98, April 1967, pages 198-203.
-
Walter Gautschi,
On Generating Orthogonal Polynomials,
SIAM Journal on Scientific and Statistical Computing,
Volume 3, Number 3, 1982, pages 289-317.
-
Walter Gautschi,
Algorithm 726:
ORTHPOL - A Package of Routines for Generating Orthogonal
Polynomials and Gauss-Type Quadrature Rules,
ACM Transactions on Mathematical Software,
Volume 20, Number 1, March 1994, pages 21-62.
Source Code:
Last revised on 01 December 2023.