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中文摘要：
与传统的差值方法相比，重心有理插值具有很多优点，如小的计算量、数值稳定性好、无极点、无不可达点、有任意高的逼近阶等。文章在上三角网格上基于Lebesgue常数最小为目标函数构造二元重心有理插值插值，并采用离散的方法求出最优解。数值实例表明新方法的可行性。
英文摘要：
Compared with traditional interpolating polynomial, barycentric rational interpolation possesses various advantages, such as small calculation, good numerical stability, no poles, no unattainable points and arbitrarily high approximation order, re- gardless of the distribution of the points. In this paper, a new rational interpolation based on the Lebesgue constant minimizing over lacunar）, triangular grids was presented and the optimal solution was got with discrete method. Numerical example was then given to demonstrate the feasibility of the new approach.
同期刊论文项目
同项目期刊论文
Lebesgue Constant Minimizing Shape Preserving Barycentric Rational Interpolation Optimization algori
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