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Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013 pp 123–130Cite as

Bivariate Barycentric Rational Hermite Interpolaiton Based on the Lebesgue Constant Minimizing

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 212))

Abstract

Barycentric interpolation is considered to be the most stable formula for a rational Hermite interpolation. The core problem is to choose the optimal weights. In this paper, the optimal weights of the bivariate barycentric rational Hermite interpolation are obtained based on the Lebesgue constant minimizing. Then the solution of the optimization model can be obtained by the software LINGO. Further, the numerical examples are given to show the effectiveness of the new method.

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Acknowledgments

This work was supported by CNSF (Grant number: 60973050, 30570431, 60873144); Science Foundation of Educational government of Anhui Province of China (KJ2009A50, KJ2007B173); Program for Excellent Talents in Anhui and Program for New Century Excellent Talents in University (NCET-06-0555).

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Authors and Affiliations

  1. College of Science, Anhui University of Science and Technology, Huainan, 232001, China

    Qianjin Zhao & Jie Qiao

Authors
  1. Qianjin Zhao
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  2. Jie Qiao
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Corresponding author

Correspondence to Qianjin Zhao .

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Editors and Affiliations

  1. School of Science, Anhui University of Science & Technology, Huainan, China

    Zhixiang Yin

  2. Huazhong University of Science and Technology, Wuhan, China

    Linqiang Pan

  3. Anhui University of Science & Technology, Huainan, China

    Xianwen Fang

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© 2013 Springer-Verlag Berlin Heidelberg

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Zhao, Q., Qiao, J. (2013). Bivariate Barycentric Rational Hermite Interpolaiton Based on the Lebesgue Constant Minimizing. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_15

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  • DOI: https://doi.org/10.1007/978-3-642-37502-6_15

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37501-9

  • Online ISBN: 978-3-642-37502-6

  • eBook Packages: EngineeringEngineering (R0)

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