ALGORITHM-726 - ORTHPOL - A PACKAGE OF ROUTINES FOR GENERATING ORTHOGONAL POLYNOMIALS AND GAUSS-TYPE QUADRATURE-RULES
ALGORITHM-726 - ORTHPOL - A PACKAGE OF ROUTINES FOR GENERATING ORTHOGONAL POLYNOMIALS AND GAUSS-TYPE QUADRATURE-RULES
复制标题
DOI：
10.1145/174603.174605
复制
发表时间：
1994-03-01
影响因子：
2.7
通讯作者：
GAUTSCHI, W
中科院分区：
文献类型：
--
作者：
GAUTSCHI, W
一组子程序及其使用的例子，以及潜在的数值方法，描述了相对于任意权函数产生正交多项式。这些例程的目的是求出正交多项式所满足的三项递归关系中的系数。一旦知道了这些，就可以生成额外的数据，例如正交多项式的零和高斯型正交规则，这些规则也提供了例程。
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.