期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

半精化双正交Lanczos方法 被引量：2

A semi-refined biorthogonalization Lanczos method
下载PDF
导出
摘要 根据精化投影方法的思想及双正交 Lanczos过程提出一种近似精化方法——半精化双正交 Lanczos方法 ,并给出了半精化近似特征对与精化近似特征对对应的残量范数之间的关系 ,数值实验表明了新算法的优越性 . An approximate refined method,i.e.,a semi-refined biorthogonalization Lanczos method based on the refined strategy and the biorthogonalization procedure is proposed. Moreover, the relationship between the norm of semi-refined approximate eigenpair and that of refined approximate eigenpair is analyzed. Some numerical experiments are carried out and the results show the new algorithm is superior to its counterparts.
作者 吴钢
机构地区 大连理工大学应用数学系
出处 《大连理工大学学报》 CAS CSCD 北大核心 2002年第4期381-386,共6页 Journal of Dalian University of Technology
关键词 半精化双正交Lanczos方法 正交投影 斜轴投影 双正交过程 KRYLOV子空间 半精化向量 精化投影 特征值 orthogonal projection oblique projection/the biorthogonalization procedure Krylov subspace Ritz vector semi-refined Ritz vector
分类号 O241.6 [理学—计算数学]
  • 相关文献

参考文献2

  • 1吴钢.解大规模非对称矩阵特征问题Lanczos方法的两种精化版本[M].大连:大连理工大学,2001..
  • 2张勇.解大型非对称矩阵特征问题的截断精化类算法[M].大连:大连理工大学,1996..

同被引文献19

  • 1[5]Morgan R B. On restarting the arnoldi method for large non-symmetric eigenvalue problems[J]. Mathematics of Computation, 1996,65(215):1213-1230.
  • 2[6]Meerbergen K, Rose D. Matrix transformation for computing right most eigenvalues of large sparse non-symmetric eigenvalue problems[J]. IMA Journal of Numerical Analysis,1996,16:297-346.
  • 3[7]Katagiri T, Kanada Y. An efficient implementation of parallel eigenvalue computation for massively parallel processing[J]. Parallel Computing, 2001,27(14):1831-1845.
  • 4Bai, Z Barret, D Day, D Demmel, J. and Dongarra, J. Test matrix collection for nonHermitian eigenvalue problems. Technical Report, Department of Mathematics, University of Kentucky, US, 1995
  • 5Daniel, L. W Gragg, WB, Kaufman, L. and Stewart, G.W. Reorthogonalization and stable algorithms for updating the Gram-Schmidt QR factorization. Math. Compute, 1974, 30:772-795
  • 6Grimme, E., Sorensen, D. and Van Dooren, P. Model reduction of state space systems via an implicitly restarted Lanczos method. Numer. Algorithms, 1996, 12:1-31
  • 7Jcnning, A. and Stewart, W.J. Simultaneous iteration for partial eigensolution of real matrices.J. Inst. Math. Appl, 1975, 15:351-361
  • 8Jia, Z. Refined iterative algorithm based on Arnoldi's process for large unsymmetric eigenproblems. Linear Algebra Appl, 1997, 259:1-23
  • 9Jia, Z. and Stewart, G.W. An analysis of the Rayleigh-Ritz method for approximating eigenspaces. Math. Comp, to appear
  • 10Jia, Z. The convergence of generalized Lanczos methods for large unsymmetric eigenproblems.SIAM J. Matrix Anal. Appl, 1995, 16:516-539

引证文献2

二级引证文献5

大连理工大学学报
2002年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部