优选分段二次插值函数

Determine a Quadratic Spline Interpolation by Optimization

考虑分段结点与插值结点相同的分段二次插值函数，通过选择使结点处的二阶导数尽可能连续来确定插值函数，建立了优选分段二次插值函数的一个数学模型，给出了求解的计算方法．数值计算结果显示所建数学模型是合理、有效的，计算方法简单、正确．

Considering the smoothness of the quadratic splines, a mathematical model for the most smooth quadratic splines through optimization is presented. An algorithm for the model is given. The result of numerical examples shows the efficacy of the proposed model and algorithm.