toms726

toms726, a Fortran90 code 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.

The text of many ACM TOMS algorithms is available online through ACM: https://calgo.acm.org/ or NETLIB: https://www.netlib.org/toms/index.html.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

toms726 is available in a Fortran90 version.

Related Data and Programs:

toms726_test

toms655, a Fortran90 code 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:

• toms726.f90, the source code.
• toms726.sh, compiles the source code.