ALGORITHM-726 - ORTHPOL - A PACKAGE OF ROUTINES FOR GENERATING ORTHOGONAL POLYNOMIALS AND GAUSS-TYPE QUADRATURE-RULES

被引：205

作者：

GAUTSCHI, W

机构：

[1] Department of Computer Sciences, Purdue University, West Lafayette

来源：

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 1994年 / 20卷 / 01期

关键词：

ALGORITHMS; GAUSS-TYPE QUADRATURE RULES; ORTHOGONAL POLYNOMIALS;

D O I：

10.1145/174603.174605

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

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.

引用

页码：21 / 62

页数：42

共 50 条

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ABRAMOWITZ M, 1964, NBS APPLIED MATH SER, V55

[2]

[Anonymous], 1984, MAA STUD MATH

[3] A SURVEY OF MATRIX INVERSE EIGENVALUE PROBLEMS [J].