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Accurate and Efficient Evaluation of Chebyshev Tensor Product Surface
Joint Authors
He, Keshan
Du, Peibing
Duan, Chongwen
Wang, Hongxia
Jiang, Hao
Cheng, Li-Zhi
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-27
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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 u+Ou2×condP,x,y in contrast to classic scheme u×cond(P,x,y), where u is working precision and condP,x,y is a condition number of bivariate polynomial P(x,y), 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.
American Psychological Association (APA)
He, Keshan& Du, Peibing& Jiang, Hao& Duan, Chongwen& Wang, Hongxia& Cheng, Li-Zhi. 2017. Accurate and Efficient Evaluation of Chebyshev Tensor Product Surface. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1189635
Modern Language Association (MLA)
He, Keshan…[et al.]. Accurate and Efficient Evaluation of Chebyshev Tensor Product Surface. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1189635
American Medical Association (AMA)
He, Keshan& Du, Peibing& Jiang, Hao& Duan, Chongwen& Wang, Hongxia& Cheng, Li-Zhi. Accurate and Efficient Evaluation of Chebyshev Tensor Product Surface. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1189635
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189635