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大型带状特征值问题的块Jacobi-Davidson方法

Block Jacobi-Davidson Method of Large Eigenvalue Problem
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摘要 对大型矩阵,块校正方程求解的工作量大,有效求解校正方程是块Jacobi-Davidson方法的关键.研究块Jacobi-Davidson方法校正方程的不精确求解,构造预处理矩阵的块不完全分解法,并通过数值试验,对多种预条件子的效果进行比较. When it comes to solving large matrix problems, block correction equation solution involves enormous amount of work. The key of block Jacobi-Davidson method lies in effective solution correction equation. To research the inexact solution of block Jacobi-Davidson correction equation, the incomplete block decomposition method of precondition matrix is constructed, and numerical experiments are carried out to compare the effect of preconditions.
作者 谭静 汪晓虹
机构地区 淮安信息职业技术学院基础部 南京航空航天大学数学系
出处 《南京工程学院学报（自然科学版）》 2015年第3期63-68,共6页 Journal of Nanjing Institute of Technology(Natural Science Edition)
关键词 块Jacobi-Davidson方法 校正方程 预处理矩阵 block Jacobi-Davidson method correction equation preconditioning matrix
分类号 O151.21 [理学—基础数学]
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参考文献13

  • 1PAIGE C C. Computational variants of the Lanczos method of the eigenproblem[ J]. J Inst Math Appl, 1972,10:373 -381.
  • 2DAVIDSON E R. The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvector of large real symmetric matrices [ J ]. J Comput Phys, 1975,17:87 - 94.
  • 3SLEIJPEN G L, VAN DER VORST H A. A Jaeobi-Davidson method for linear eigenvalue problems[ J]. SIMA J Matrix Anal Appl, 1996,17: 401 -425.
  • 4HEINRICH V. A new justification of the Jacobi-Davidson method for large eigenproblems [ J]. Linear Algebra and its Applications ,2007,424: 448 - 455.
  • 5LEHOUCQ R B. Analysis and implementation of an implicitly restarted Arnoldi iteration[ D ]. Houston:Rice University, 1995.
  • 6LEHOUCQ R B,SORENSEN D C. Deflation techniques for an implicitly restarted Arnoldi iteration[ J]. SIAM J Matrix Anal Appl, 1996,17: 789 - 821.
  • 7JIA Z. A refined subspaee iteration algoritlan for large sparse eigenproblems[ J]. Appl Numer Math,2000,32:35 -52.
  • 8王顺绪.二次特征值问题的并行精化Jacobi-Davidson方法及其多核并行实现[J].高等学校计算数学学报,2012,34(4):357-364. 被引量：1
  • 9KOULAEI M H, TOUTOUNIAN F. On computing of block ILU preconditioner for block tridiagonal systems[ J]. Journal of Computational and Applied Mathematics,2007,202:248 - 257.
  • 10MEURANT G. Aeview on the inverse of symmetric tridiagonal and block tridiagonal matrices[ J]. SIAM J Matrix Anal Appl, 1992,13:707 - 728.

二级参考文献8

  • 1Sutter H and Larus J. Software and the concurrency revolution[J]. Q focus: Multiprocessors, 2005, 3(7):54-62.
  • 2Sleijpen G L G and Van der Vorst H A. A Jacobi-Davidson iteration method for linear eigenvalue problems. SIAM J. Matrix Anal. Appl.,1996, 17(2):401-425.
  • 3Sleijpen G L G, Booten A G L, Fokkema D R and Van der Vorst It A. Jacobi-Davidson type methods for generalized eigenvalues and polynomial eigenproblenm. BIT,1996,36(3):595-633.
  • 4Betcke T and Voss H. A Jacobi-Davidson-type projection method for nonlinear eigenvalue problems, Future generation computer systems, 2004, 20(3):363-372.
  • 5Meerbergen K, Locking and restarting quadratic eigenvalue solvers, SIAM J. Sci. Comput. 22(2001), lS14-1S39.
  • 6Jia Z. Refined iterative algorithm based on Arnoldi's proeesss for large unsymmetric eigenprob- lems,Linear algebra and its applications 1997, 259: 1-23.
  • 7Jia Z. An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Mathematics of computation.2000, 234:637-647.
  • 8贾仲孝,孙玉泉.精化的二次残量迭代法[J].高等学校计算数学学报,2004,26(2):146-155. 被引量：5
南京工程学院学报（自然科学版）
2015年 第3期

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