E-Vandermonde方程组的快速算法  

Fast Algorithm on Solving the Numerical Solution of System of E-Vandermonde Equations

作　　者：刘长河[1] 

机构地区：[1]北京建筑工程学院理学院,北京100044

出　　处：《北京建筑工程学院学报》2011年第2期61-64,共4页Journal of Beijing Institute of Civil Engineering and Architecture

摘　　要：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.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-Vandermonde equations is suggested. The new algorithm has less computation and high precision, which is verified by numerical experiments.

关 键 词：线性代数方程组 E-Vandermonde矩阵 差商 Newton插值方法 

分 类 号：D241.6[政治法律—政治学]