) 中图学技术大荸学系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS Newton插值构造 1、先构造差商表 0 x1,f(x)八[x0,x x2,f(% 0 xn,(x,)xn1,x]1xn,xn,xn21几xn…x]数 学 系 University of Science and Technology of China DEPARTMENT OF MATHEMATICS Newton插值构造 , ( ) 0 0 x f x , ( ) 1 1 x f x , ( ) 2 2 x f x  , ( ) n n x f x [ , ] 0 1 f x x [ , ] 2 1 f x x [ , ] n 1 n f x x − [ , , ] 2 1 0 f x x x [ , , ] n n−1 n−2 f x x x   [ , , ]0 f x x n  1、先构造差商表