病态线性方程组新解法:增广方程组法  

A Novel Method for Solving Ill-Conditioned Linear System:Augmented System Method

作　　者：胡圣荣[1] 戴纳新[1] 

机构地区：[1]华南农业大学工程学院,广东广州510642

出　　处：《华南农业大学学报》2009年第1期119-121,共3页Journal of South China Agricultural University

基　　金：国家自然科学基金(30600468);广东省自然科学基金(994151)

摘　　要：为了简便求解病态问题,先构造适当的增广形式,再用常规方法求解,这时问题的病态虽然导致总体增广解的巨大误差,但原问题解只是其中一个局部,却可获得很好的精度,数值算例表明了算法的有效性.Put an ill-conditioned system into a suitable augmented system, and solve it with ordinary methods. Although as a whole the augmented solution may be very erroneous, the original system solution is just a local part, and can be very precise. Numerical examples showed the presented method could solve extremely ill-conditioned linear systems simply and effectively.

关 键 词：线性方程组 病态方程 增广方程组法 

分 类 号：O241.6[理学—计算数学]