Subjects: Mathematics >> Computational Mathematics. submitted time 2019-08-27
Abstract： A generalized conjugate gradient method is proposed to solve eigenvalue problems. This method is designed by combining the dumping block inverse power scheme, subspace projection method. Furthermore, based on the properties of the proposed method, a series of optimization techniques is developed to improve the stability, computing efficiency and scalability. We also introduce a computing package GCGE (Generalized Conjugate Gradient Eigensolver) which is developed based on the proposed method here. Some numerical examples are provided to validate the stability, computing efficiency and scalability of the method in this paper. The corresponding computing package can be downloaded from the web site: https://github.com/pase2017/GCGE-1.0.
Peer Review Status:
Awaiting Review
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