单步分裂迭代方法用于求解大型稀疏线性方程组时,迭代解的精度对迭代过程的收敛和方程组解的精度有很大影响.基于文献(参见[Bai Z Z,Rozlozník M.On the numerical behavior of matrix splitting iteration methods for solving li...单步分裂迭代方法用于求解大型稀疏线性方程组时,迭代解的精度对迭代过程的收敛和方程组解的精度有很大影响.基于文献(参见[Bai Z Z,Rozlozník M.On the numerical behavior of matrix splitting iteration methods for solving linear systems.SIAM J Numer Anal,2015,53(4):1716-1737.])的结果,对给定的精度,给出了一个估计最大外迭代步数的方法.数值实验结果表明,本文所给出的最大外迭代步数的估计与实际计算过程中达到相同精度所需的迭代步数非常接近.展开更多
This paper mainly proposes a new C-XSC （C- for eXtended Scientific Computing） software for the symmetric single step method and relaxation method for computing an enclosure for the solution set and compares the meth...This paper mainly proposes a new C-XSC （C- for eXtended Scientific Computing） software for the symmetric single step method and relaxation method for computing an enclosure for the solution set and compares the methods with others＇ and then makes some modifications and finally, examples illustrating the applicability of the proposed methods are given.展开更多
基金supported by the National Natural Science Foundation of China(11571156)
文摘单步分裂迭代方法用于求解大型稀疏线性方程组时,迭代解的精度对迭代过程的收敛和方程组解的精度有很大影响.基于文献(参见[Bai Z Z,Rozlozník M.On the numerical behavior of matrix splitting iteration methods for solving linear systems.SIAM J Numer Anal,2015,53(4):1716-1737.])的结果,对给定的精度,给出了一个估计最大外迭代步数的方法.数值实验结果表明,本文所给出的最大外迭代步数的估计与实际计算过程中达到相同精度所需的迭代步数非常接近.
文摘This paper mainly proposes a new C-XSC （C- for eXtended Scientific Computing） software for the symmetric single step method and relaxation method for computing an enclosure for the solution set and compares the methods with others＇ and then makes some modifications and finally, examples illustrating the applicability of the proposed methods are given.
