反散射中Stekloff特征值问题的一个性质

A property of Stekloff eigenvalue problem in inverse scattering

对反散射中的Stekloff特征值问题的广义特征向量,证明了其共轭恰是共轭Stekloff特征值问题的广义特征向量。基于这一结果,我们对Stekloff特征值问题现有的二网格方案和多网格校正方案进行了改进。

In this paper, for a Stekloff eigenvalue problem arising from the inverse scattering theory, we prove that the generalized eigenvector of the dual Stekloff eigenvalue problem is just the dual of the generalized eigenvector of the primal Stekloff eigenvalue problem. Based on this result, we improve the two-grid scheme and the multi-grid correction scheme for the Stekloff eigenvalue problem.