Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules

Author:

Gautschi Walter1

Affiliation:

1. Purdue University

Abstract

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Reference51 articles.

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2. A survey of matrix inverse eigenvalue problems;BOLEY D.;Inverse Problems,1987

3. CHEBYSHEV P. L. 1859. Sur l'interpolation par la m~thode des moindres carr~s. Mdm. Acad. Impdr. Sct. St. Pdtersbourg (7) 1 15 i 24. (Oeuvres I pp. 473 498.) CHEBYSHEV P. L. 1859. Sur l'interpolation par la m~thode des moindres carr~s. Mdm. Acad. Impdr. Sct. St. Pdtersbourg (7) 1 15 i 24. (Oeuvres I pp. 473 498.)

4. CHIHARA T.S. 1978. An Introduction to Orthogonal Polynomials. Gordon and Breach New York. CHIHARA T.S. 1978. An Introduction to Orthogonal Polynomials. Gordon and Breach New York.

5. Orthogonal polynomials and measures with end point masses;CHIHA~ T. S.;Rocky Mountain J. Muth.,1985

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