New iterative improvement of a solution for an Ill-conditioned system of linear equations based on a linear dynamic system
New iterative improvement of a solution for an Ill-conditioned system of linear equations based on a linear dynamic system
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DOI：
10.1016/s0898-1221(02)00219-5
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发表时间：
2002-10
影响因子：
2.9
通讯作者：
Xinyuan Wu;Rong Shao;Yiran Zhu
中科院分区：
文献类型：
--
作者：
Xinyuan Wu;Rong Shao;Yiran Zhu
本文对迭代改进解的动力系统进行了分析，并在此基础上提出了新的迭代改进解。证明了新的迭代改进解是无条件收敛的。数值实验表明，对于病态的线性方程组，新的迭代改进解更有效。
In this paper, the analysis of the dynamic system for iterative improvement of a solution is discussed, and the new iterative improvement of a solution is proposed based on the dynamic system. We have proved that the new iterative improvement of the solution is convergent unconditionally. The numerical experiments illustrate that the new iterative improvement of the solution is more effective for an ill-conditional system of linear equations.