算法xxx——ORTHPOL：生成正交多项式和Gauss型求积规则的例程包
Algorithm xxx --- ORTHPOL: A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
AI总结：
本文介绍ORTHPOL软件包，通过生成三项递推系数来计算任意权函数的正交多项式及其零点和Gauss型求积规则。
摘要：
本文描述了一组子程序及其使用示例，以及其背后的数值方法，用于生成相对于任意权函数的正交多项式。这些例程的目标是产生正交多项式所满足的三项递推关系中的系数。一旦这些系数已知，就可以生成额外的数据，例如正交多项式的零点和Gauss型求积规则，为此也提供了相应的例程。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
