Accurate and Efficient Evaluation of Chebyshev Tensor Product Surface

Keshan He, Peibing Du, Hao Jiang, Chongwen Duan, Hongxia Wang and Lizhi Cheng

Mathematical Problems in Engineering, 2017, vol. 2017, 1-10

Abstract:

A Chebyshev tensor product surface is widely used in image analysis and numerical approximation. This article illustrates an accurate evaluation for the surface in form of Chebyshev tensor product. This algorithm is based on the application of error-free transformations to improve the traditional Clenshaw Chebyshev tensor product algorithm. Our error analysis shows that the error bound is in contrast to classic scheme , where is working precision and is a condition number of bivariate polynomial , which means that the accuracy of the computed result is similar to that produced by classical approach with twice working precision. Numerical experiments verify that the proposed algorithm is stable and efficient.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1729287

DOI: 10.1155/2017/1729287

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