Accurate Evaluation of Polynomials in Legendre Basis

This paper presents a compensated algorithm for accurate evaluation of a polynomial in Legendre basis. Since the coefficients of the evaluated polynomial are fractions, we propose to store these coefficients in two floating point numbers, such as double-double format, to reduce the effect of the coe...

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Bibliographic Details
Main Authors: Peibing Du, Hao Jiang, Lizhi Cheng
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/742538
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