This paper introduces a method for computing eigenvalues and eigenvectors of a generalized Hermitian, matrix eigenvalue problem. The work is focused on large scale eigenvalue problems, where the application of a direct inverse is out of reach. Instead, an explicit time-domain integrator for the corresponding wave problem is combined with a proper filtering and a Krylov iteration in order to solve for eigenvalues within a given region of interest. We report results of small scale model problems to confirm the reliability of the method, as well as the computation of acoustic resonances in a three dimensional model of a hunting horn to demonstrate the efficiency.

翻译：本文提出了一种用于计算广义Hermitian矩阵特征值问题中特征值和特征向量的方法。本研究聚焦于大规模特征值问题，其中直接逆变换的应用难以实现。为此，我们将对应波问题的显式时域积分器与适当的滤波及Krylov迭代相结合，以求解指定感兴趣区域内的特征值。我们通过小规模模型问题的结果验证了该方法的可靠性，并利用狩猎号角三维模型中的声学共振计算展示了其高效性。