一种拓展的有理插值方法的注记(英文)

A Note on the Paper an Extended RationalInterpolation Method

在近年来的一篇文章"An extended rational interpolation method"中,Hosseini和Jafari提出一种拓展的有理插值方法,作者称该方法的优点是,在给定插值的导数信息是它比标准的有理插值方法更有效.在这篇注记中,我们指出(a)1962年H.E.Salzer已经研究过该方法;(b)作者忽视了插值条件;(c)将不同次数的有理插值进行比较不合适.

In a recent paper ＂An extended rational interpolation method＂, Hosseini and Jafari presented a novel kind of extended rational interpolation for rational interpolation, the authors declared that the merit of this method was that it is more efficient than the standard rational interpolation method when some derivatives information was given. In this note, we demonstrated that （a）the method had been studied by H. E. Salzer in 1962, （b）the authors ignored the condi- tion of interpolation, （c）the different degrees of rational interpolation were used to compare is unsuitable.