On generating polynomials which are orthogonal over several intervals

Bernd Fischer*, Gene H. Golub

*Korrespondierende/r Autor/-in für diese Arbeit
12 Zitate (Scopus)

Abstract

We consider the problem of generating the recursion coefficients of orthogonal polynomials for a given weight function. The weight function is assumed to be the weighted sum of weight functions, each supported on its own interval. Some of these intervals may coincide, overlap or are contiguous. We discuss three algorithms. Two of them are based on modified moments, whereas the other is based on an explicit expression for the desired coefficients. Several examples, illustrating the numerical performance of the various methods, are presented.

OriginalspracheEnglisch
ZeitschriftMathematics of Computation
Jahrgang56
Ausgabenummer194
Seiten (von - bis)711-730
Seitenumfang20
ISSN0025-5718
DOIs
PublikationsstatusVeröffentlicht - 01.01.1991

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