对一本书中一个数值错误的修正

On the Corrected Results of a Numerical Example of a Book

李庆扬等先生所写的教材,是一本颇有特色的书,该书P.58用一个数值表来说明三次样条插值能很好逼近Runge 函数,但该数值表有误,说服力就不强了,而该书发行面相当广,此表,最近出版的也还在照样引用.笔者认为有必要对此表予以订正,此表应是:

In this paper,some numerical mistakes of a numerical example in[1](a widely- spread text-book in P.R.China)are pointed out and the corrected numerical results are given(table 2.).the example is about the(Largrange's and spline)interpolation of the well -known Runge's function——f(x)=(1+x^2)^(-1).