论文标题
解决特征值问题的新功率方法
New Power Method for Solving Eigenvalue Problems
论文作者
论文摘要
我们提出了一种新的权力方法，以获取特征值问题的解决方案。该方法不仅可以确定主要或最低特征值，而且还可以确定所有特征值，而无需放通程序。该方法使用操作员（或矩阵）的功能选择或过滤特征值。该方法可以通过改变与特征值估计相关的参数来自由选择解决方案。该方法的收敛性高度取决于参数与特征值的接近程度。在本文中，该方法的数值结果与分析结果非常吻合。
We present a new power method to obtain solutions of eigenvalue problems. The method can determine not only the dominant or lowest eigenvalues but also all eigenvalues without the need for a deflation procedure. The method uses a functional of an operator (or a matrix) to select or filter an eigenvalue. The method can freely select a solution by varying a parameter associated to an estimate of the eigenvalue. The convergence of the method is highly dependent on how closely the parameter to the eigenvalues. In this paper, numerical results of the method are shown to be in excellent agreement with the analytical ones.
