【摘要】 讨论带非零下界约束的最佳插值问题(k≥2):m inf(k)2,满足插值条件f(ti)=yi(i=1,…,n)和f(k)≥l≥0的解的性质,给出求解该问题的半光滑牛顿型算法并讨论算法的收敛性.更多还原

【Abstract】 The general convex interpolation problem（k≥2）: minf^k₂,subject to f（t_i）=y_i,i=1,…,n;with kth derivative satisfying f^k≥l≥0 is discussed.The problem is reduced to a system of semismooth equations,a semismooth Newton algorithm is proposed to solve the system,and the superlinear convergence of the proposed algorithm is proved.更多还原