改进阻尼谱修正迭代法在病态线性方程组中的应用  

Improved iteration method by correcting characteristic value with damping factor for ill-conditioned system of linear equations

作　　者：莫春鹏[1] 覃柏英[1] MO Chunpeng;QIN Boying(College of Science,Guangxi University of Science and Technology,Liuzhou 545006,China)

机构地区：[1]广西科技大学理学院,广西柳州545006

出　　处：《广西科技大学学报》2021年第2期107-113,共7页Journal of Guangxi University of Science and Technology

基　　金：广西自然科学基金项目(2018GXNSFAA294122);高校中青年教师基础能力提升项目(2017KY0339)资助.

摘　　要：为提高阻尼谱修正迭代法求解病态线性方程组的性能,提出了一种较佳阻尼因子的新确定方法,并对其迭代方式进行了改进.通过采用两个经典算例,采用新确定方法和改进的迭代方式对算法求解病态线性方程组的影响进行了分析.结果表明,两者都可提高病态线性方程组求解的精度.To improve the performance of iteration method by correcting characteristic value with damping factor(DCCV)for solving the ill-conditioned system of linear equations(ICSLE),a new method for determining the better damping factor of DCCV is proposed,and its iterative method is improved.Two classical examples are used to discuss the influence of the new method and the improved iterative method on DCCV for solving ICSLE.The results show that the new method and the improved iterative method both can improve the accuracy of DCCV for solving ICSLE.

关 键 词：阻尼因子 谱修正迭代法 病态线性方程组 

分 类 号：O241.6[理学—计算数学] O151.2[理学—数学]