病态线性方程组的判定方法  

The Judging Method for Ill-conditioned Linear Equations

作　　者：郑孝勇 张东俊 

机构地区：[1]解放军92337部队

出　　处：《数学的实践与认识》2006年第9期166-169,共4页Mathematics in Practice and Theory

摘　　要：针对用条件数来衡量方程组的性态将随阶数增大而变得异常困难这一问题,分析了病态线性方程组产生的原因,提出了一种判定方法,探讨了对一定精度要求的解的可允许扰动的数量级,实例证明了这种方法的有效性.In allusion to the problem that the behavior of the equations will become abnormally difficult with the rise of exponent number measuring with condition number, the reason of＇the engendering of ill-conditioned linear equations has been analyzed and a judging method has been suggested. The amount level permitting perturbation of the solution at a certain requirement of precision has been discussed. The validity o[ the method has been tested by practical examples.

关 键 词：方程组 病态 条件数 判定方法 

分 类 号：O241.6[理学—计算数学]