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文章基本信息

  • 标题:Perturbation Simulations of Rounding Errors in the Evaluation of Chebyshev Series
  • 作者:Roberto Barrio ; Jean-Claude Berges
  • 期刊名称:Journal of Universal Computer Science
  • 印刷版ISSN:0948-6968
  • 出版年度:1998
  • 卷号:4
  • 期号:6
  • 页码:561-573
  • 出版社:Graz University of Technology and Know-Center
  • 摘要:This paper presents some numerical simulations of rounding errors produced during evaluation of Chebyshev series. The simulations are based on perturbation theory and use recent software called AQUARELS. They give more precise results than the theoretical bounds (the difference is of some orders of magnitude). The paper concludes by confirming theoretical results on the increment of the error at the end of the interval [-1; 1] and the increased performance achieved by some modifications to Clenshaw's algorithm near those points.
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