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Lebesgue Constant Minimizing Bivariate Barycentric Rational Interpolation |
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PP: 187-192 |
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Author(s) |
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Qianjin Zhao,
Bingbing Wang,
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Abstract |
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| The barycentric form is the most stable formula for a rational interpolant on a finite interval. The choice of the barycentric
weights can ensure the absence of poles on the real line, so how to choose the optimal weights becomes a key question for bivariate
barycentric rational interpolation. A new optimization algorithm is proposed for the best interpolation weights based on the Lebesgue
constant minimizing. Several numerical examples are given to show the effectiveness of the new method. |
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