How to choose modified moments?

被引：20

作者：

Beckermann, B ^{[1
]}

Bourreau, E ^{[1
]}

机构：

[1] Univ Sci & Tech Lille Flandres Artois, Lab Anal Numer & Optimisat, UFR IEEA M3, F-59655 Villeneuve Dascq, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 98卷 / 01期

关键词：

orthogonal polynomials; modified moments; modified Chebyshev algorithm;

D O I：

10.1016/S0377-0427(98)00116-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Modified moments of a nonnegative measure determine uniquely the recurrence coefficients of the polynomials orthogonal with respect to the given nonnegative measure. The sensitivity of the underlying nonlinear maps with regard to perturbations in the modified moments has been studied by Gautschi and Fischer, and is further analyzed in this paper. In particular, we discuss the question of how (not) to choose the support of the underlying two measures. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：81 / 98

页数：18

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