摘要
本文利用有关矩阵扰动理论 ,从分析 Davidson类方法中子空间的扩充向量入手 ,对Davidson方法的本质作了较为深入的研究。分析结果较为合理地解释了有关文献中的一些数值试验现象。本文利用文献 [2 ]所提出的精化策略对 Davidson类方法进行改造 ,得到了一个新的算法。数值试验表明 ,新算法是非常有效的 ,同时也验证了本文对 Davidson类方法的本质的研究结论。
The essence of Davidson method has been studied in this paper by using matrix perturbation theory through analyzing the vector spanned to the subspace of this method. The result can reasonably explain some observations of numerical experiments reported in the literatures, and it is also tested by the numeric experiments in this paper. A new algorithm has been proposed using the Refining-Strategy proposed by The numeric experiments show that the new algorithm is very efficiently.
出处
《计算力学学报》
CAS
CSCD
北大核心
2001年第3期335-338,共4页
Chinese Journal of Computational Mechanics
