所属单位：理学院
发表刊物：EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
关键字：Polynomial eigenvalue problem generalised Arnoldi method refinement implicit restarting non-equivalence low-rank deflation
摘要：Based on the generalised Arnoldi procedure, we develop an implicitly restarted generalised Arnoldi method for solving the large-scale polynomial eigenvalue problem. By combining implicit restarting with the refinement scheme, we present an implicitly restarted refined generalised Arnoldi (IRGAR) method. To avoid repeated converged eigenpairs in the later iteration, we develop a novel non-equivalence low-rank deflation technique and propose a deflated and implicitly restarted refined generalised Arnoldi method (DIRGAR). Some numerical experiments show that this DIRGAR method is efficient and robust.
ISSN号：2079-7362
是否译文：否
发表时间：2018-02-01
合写作者：魏伟
通讯作者：戴华
发表时间：2018-02-01