E-Vandermonde方程组的快速算法

摘要

Conception of the difference quotient of vector-valued function is derived from that of real valued-function, and formula of Newton interpolation about vector-valued function is obtained. A fast algorithm on solving the numerical solution of system of E-V%将函数差商的概念推广到向量函数,得到向量函数差商的概念,并推出向量函数的Newton插值公式.利用求向量多项式的方法,给出求E-Vandermonde方程组的快速解法.该算法计算量小,精确度高.数值试验验证这一算法的正确性.