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Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. (English) Zbl 0888.65013
Summary: A collection of subroutines and examples of their uses, as well as the underlying numerical methods, are described for generating orthogonal polynomials relative to arbitrary weight functions. The object of these routines is to produce the coefficients in the three-term recurrence relation satisfied by the orthogonal polynomials. Once these are known, additional data can be generated, such as zeros of orthogonal polynomials and Gauss-type quadrature rules, for which routines are also provided.

MSC:
65D20Computation of special functions, construction of tables
42C05General theory of orthogonal functions and polynomials
65Q05Numerical methods for functional equations (MSC2000)
65D32Quadrature and cubature formulas (numerical methods)
65H05Single nonlinear equations (numerical methods)
Software:
ORTHPOL