Rounding error bounds for the Clenshaw and Forsythe algorithms for the evaluation of orthogonal polynomial series

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:138

Article

Barrio, R

关键词: rounding error;    polynomial evaluation;    orthogonal polynomials;   

DOI  :  10.1016/S0377-0427(01)00382-X

来源: Elsevier

【 摘 要 】

Rounding error bounds of the Forsythe and the Clenshaw-Smith algorithm for the evaluation of finite series of orthogonal polynomials are presented. The forward error is studied by means of a direct approach that pen-nits to obtain sharp bounds. The bounds are illustrated with several numerical tests. (C) 2002 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free