ERROR ANALYSIS FOR SOLVING VANDERMONDE SYSTEM WITH SPECIAL POINTS  

作　　者：曲延云 蒋尔雄 薛军工 

机构地区：[1]Department of Computer Science,Xiamen University [2]Institute of Mathematics,Fudan University

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2003年第1期111-120,共10页

基　　金：Supported by National Natural Science Foundation of China,under Grant Number 60175008.and Natural Science Foundation of Fujian Province under Grant A0110004.

摘　　要：The Bjorck and Pereyra algorithms used for solving Vandermonde systemof equation are modified for the case where the points are symmetricly situated aroundzero. The working operation is saved about half. A forward error analysis is presentedfor the modified algorithms, and it's shown that if the points are situated in some order,the error bound are as good as Higham's result in 1987.The Bjorck and Pereyra algorithms used for solving Vandermonde system of equation are modified for the case where the points are symmetricly situated around zero. The working operation is saved about half. A forward error analysis is presented for the modified algorithms, and it's shown that if the points are situated in some order, the error bound are as good as Higham's result in 1987.

关 键 词：线性控制系统 Vandermonde系统 VANDERMONDE矩阵 零点 误差分析 

分 类 号：O241[理学—计算数学]