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2013 (Vol. 5, Issue: 15)
Article Information:

Lebesgue Constant Minimizing Shape Preserving Barycentric Rational Interpolation Optimization algorithm

Qianjin Zhao, Bingbing Wang and Xianwen Fang
Corresponding Author:  Qianjin Zhao 

Key words:  Barycentric rational interpolation, lebesgue constant, optimization algorithm,, shape preserving, weight, ,
Vol. 5 , (15): 3962-3967
Submitted Accepted Published
October 17, 2012 December 10, 2012 April 25, 2013

The barycentric rational interpolation possesses various advantages in comparison with other interpolation, such as small calculation quantity, no poles and no unattainable points. It is definite when weights are given, so how to choose optimal weights becomes the key issue. A new optimization algorithm to compute the optimal weights was found by minimizing the Lebesgue constant. The biggest advantage of this algorithm is that the linearity of interpolation process with respect to the interpolated function is preserved. In this paper, we will study the shape control in barycentric rational interpolation under this new optimization algorithm, then numerical examples are given to shown the effectiveness of this algorithm.
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  Cite this Reference:
Qianjin Zhao, Bingbing Wang and Xianwen Fang, 2013. Lebesgue Constant Minimizing Shape Preserving Barycentric Rational Interpolation Optimization algorithm.  Research Journal of Applied Sciences, Engineering and Technology, 5(15): 3962-3967.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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