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Zbl 0888.65013
Gautschi, W.
Algorithm 726: ORTHPOL -- a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. (English)
[J] ACM Trans. Math. Softw. 20, No.1, 21-62 (1994). ISSN 0098-3500

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 2000:: *65D20 Computation of special functions
42C05 General theory of orthogonal functions and polynomials
65Q05 Numerical methods for functional equations
65D32 Quadrature formulas (numerical methods)
65H05 Single nonlinear equations (numerical methods)

Keywords: package; orthogonal polynomials; three-term recurrence relation; zeros; Gauss-type quadrature rules

Cited in: Zbl 0980.65021 Zbl 0932.65018

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