TOMS726
Orthogonal Polynomials and Quadrature Rules


TOMS726 is a FORTRAN90 library which computes recursion relationships for various families of orthogonal polynomials, as well as the abscissas and weights of related quadrature rules; the library is commonly called ORTHPOL, and is by Walter Gautschi.

Languages:

TOMS726 is available in a FORTRAN77 version and a FORTRAN90 version.

Related Data and Programs:

TOMS655, a FORTRAN77 library which computes the weights for interpolatory quadrature rules.

Reference:

  1. 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.
  2. Walter Gautschi,
    On Generating Orthogonal Polynomials,
    SIAM Journal on Scientific and Statistical Computing,
    Volume 3, Number 3, 1982, pages 289-317.
  3. 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:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN90 source codes.


Last revised on 28 April 2013.