摘要
病态线性方程组的求解过程对初始数据的扰动甚为敏感，对它的求解方法目前虽然有些讨论，但都不大理想。本文首先论述了病态性方程组的扰动理论，其次给出了改进的残量校正迭代法，并在此基础上编制了结构优化的上机算法；最后给出数值例题并进行了分析。上机计算表明，本文给出的算法即使对十分严重病态线性方程组求解也很有效。
The solving of Ill-conditioned linear system equations has been under intensified study for a long term of years.The residual-corrector iteration me-thod is proposed It is verified by nurmerical experiments that this method is applicable even for severe ill-conditioned problems.
出处
《大连轻工业学院学报》
1994年第4期74-79,共6页
Journal of Dalian Institute of Light Industry
关键词
扰动
病态线性方程组
残量校正迭代法
Ill-conditioned problem,Residual-corrector method,Linear equations
