论文标题
灵活的子空间迭代，并具有有效的基于轮廓集成的eigensolver
Flexible subspace iteration with moments for an effective contour integration-based eigensolver
论文作者
论文摘要
轮廓集成方案是解决困难内部特征值问题的有价值工具。但是，许多具有多个右侧的大型线性系统的解决方案可能证明是一项艰巨的计算费用。如果使用多个矩创建了投影子空间，则右侧的数量，因此可以降低计算成本。在这项工作中，我们探讨了在轮廓集成方案中相对于其他各种重要参数的时刻选择和应用的启发式方法。我们提供了各种方案的预期性能，准确性和鲁棒性的证据，表明良好的启发式选择可以在这三种措施中提供具有良好特性的方案。
Contour integration schemes are a valuable tool for the solution of difficult interior eigenvalue problems. However, the solution of many large linear systems with multiple right hand sides may prove a prohibitive computational expense. The number of right hand sides, and thus, computational cost may be reduced if the projected subspace is created using multiple moments. In this work, we explore heuristics for the choice and application of moments with respect to various other important parameters in a contour integration scheme. We provide evidence for the expected performance, accuracy, and robustness of various schemes, showing that good heuristic choices can provide a scheme featuring good properties in all three of these measures.
