Accelerated subspace iteration method for generalized eigenproblems

被引：0
|
作者：
Wang, Xuelin [1 ]
Zhou, Ji [1 ]
机构：
[1] CAD Center, Huazhong Univ. of Sci. and Technol., Wuhan, Hubei, 430074, China
来源：
Computers and Structures | 1999年 / 71卷 / 03期
关键词：
Asymptotic stability - Finite element method - Iterative methods - Mathematical models - Matrix algebra - Vectors;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
An accelerated subspace iteration for generalized eigenproblems is proposed by combining the repeated inverse iteration with the over-relaxation technique. Two schemes are developed to obtain an over-relaxation factor. Numerical results show that the proposed acceleration is efficient and numerically stable for eigenproblems with a large number of eigenpairs required or with close eigenvalues.
引用
收藏
页码：293 / 301
相关论文
共 50 条
  • [41] A generalized distributed accelerated gradient method for distributed model predictive control with iteration complexity bounds
    Giselsson, Pontus
    2013 AMERICAN CONTROL CONFERENCE (ACC), 2013, : 327 - 333
  • [42] ChASE: Chebyshev Accelerated Subspace Iteration Eigensolver for Sequences of Hermitian Eigenvalue Problems
    Winkelmann, Jan
    Springer, Paul
    Di Napoli, Edoardo
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2019, 45 (02):
  • [43] Convergence and Preconditioning of Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems
    Nasser, Rayan
    Sadkane, Miloud
    COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2020, 20 (02) : 343 - 359
  • [44] A mixed method of subspace iteration for Dirichlet eigenvalue problems
    Gyou -Bong Lee
    Sung -Nam Ha
    Bum -Il Hong
    Korean Journal of Computational & Applied Mathematics, 1997, 4 (1): : 243 - 248
  • [45] An enhanced formulation of error bound in subspace iteration method
    Chen, Pu
    Gong, Yucai
    Chen, Yongqiang
    Kulasegaram, Sivakumar
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING, 2011, 27 (01) : 113 - 127
  • [46] The Subspace Iteration Method in Protein Normal Mode Analysis
    Sedeh, Reza Sharifi
    Bathe, Mark
    Bathe, Klaus-Juergen
    JOURNAL OF COMPUTATIONAL CHEMISTRY, 2010, 31 (01) : 66 - 74
  • [47] TSCHEBYSCHEV FILTERING AND LANCZOS PROCESS IN THE SUBSPACE ITERATION METHOD
    LOH, CH
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1984, 20 (01) : 182 - 186
  • [48] The Bathe subspace iteration method enriched by turning vectors
    Kim, Ki-Tae
    Bathe, Klaus-Jurgen
    COMPUTERS & STRUCTURES, 2017, 186 : 11 - 21
  • [49] Acceleration of inverse subspace iteration with Newton's method
    El Khoury, G.
    Nechepurenko, Yu. M.
    Sadkane, M.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 259 : 205 - 215
  • [50] Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation
    Xue, Fei
    Elman, Howard C.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (03) : 601 - 622
12345