GCGE：并行块阻尼反幂法求解大规模本征值问题的软件包
GCGE: A Package for Solving Large Scale Eigenvalue Problems by Parallel Block Damping Inverse Power Method
摘要：
本文提出了一个求解大规模本征值问题的特征值求解器及其相应的软件包GCGE。该方法是阻尼思想、子空间投影法和动态位移反幂法的结合。为了减少投影子空间的维度，当所需特征对数量较多时，提出了一种移动机制。介绍了该软件包的数值方法、实现技术和软件结构。大量的数值计算结果表明，该特征值求解器和GCGE软件包具有很好的效率、稳定性和可扩展性，可用于计算大量大型对称矩阵的特征值对。
英文摘要：
We propose an eigensolver and the corresponding package, GCGE, for solving large scale eigenvalue problems. This method is the combination of damping idea, subspace projection method and inverse power method with dynamic shifts. To reduce the dimensions of projection subspaces, a moving mechanism is developed when the number of desired eigenpairs is large. The numerical methods, implementing techniques and the structure of the package are presented. Plenty of numerical results are provided to demonstrate the efficiency, stability and scalability of the concerned eigensolver and the package GCGE for computing many eigenpairs of large symmetric matrices arising from applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
