关于Hilbert空间中样条函数构造

The Construction of Operator Spline Interpolation for Hilbert Space

对一类样条,通过相应的B样条作内积运算,构造出一类新的稳定计算格式。对光顺样条也有类似结论。

Operator spline interpolations are considered.By calculating inner products of B-splines,we obtain a new and stable computational method.This method can be easily carried out in a computer by solving a symmetric,least band-width linear algebraic system.In particular,for polynomial splines,this method is very sim-ple.We also consider smoothing splines and obtain similar results.