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一类特殊矩阵谱条件数的注记

A Note on the Condition Number of Matrix Spectrum
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摘要 研究得到了一类特殊矩阵谱条件数上界的估计,与现有文献中只讨论参数︱α︱>1时这类矩阵条件数界的不同,本文补充讨论了︱α︱≤1时条件数的上界,完善了相应文献对这类特殊矩阵条件数的估计. The upper bound of a special kind of condition number of matrix spectrum is researched and estimated.The research supplements the estimation of such condition number in corresponding literature.
作者 陈建新
出处 《广东工业大学学报》 CAS 2011年第2期69-70,共2页 Journal of Guangdong University of Technology
基金 广东工业大学青年基金资助项目(062059)
关键词 谱条件数 2-范数 上界 spectrum condition number 2-norms upper bound
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参考文献10

  • 1Stewart G W, Sun J G. Matrix Perturbation Theory[ M]. Boston : Academic Press, 1990.
  • 2Bhatia R, Kittanen F, Li R C. Eigenvalues of symmetrizable matrices [ J ]. BIT, 1998 ( 38 ) : 1-11.
  • 3黎稳,孙伟伟.组合扰动界:Ⅱ.极分解[J].中国科学(A辑),2007,37(6):701-708. 被引量:11
  • 4Hoffman A J, Wielandt H W. The variation of the spectrum of a normal matrix[J]. Duke Math J, 1953(20) :37-39.
  • 5Song Y Z. A note on the variation of the spectrum of an arbitary matrix [ J ]. Linear Algebra and its Application, 2002 (342) :41-46.
  • 6Tristan Londre, Noah H Rhee. A note on relative perturbation bounds[J]. SIAM J. Matrix Analysis and its Applications, 1999 ,21:357-361.
  • 7Song Y Z. A note on the variation of the spectrum of an arbitary matrix[ J ]. Linear Algebra and its Application ,2002, 342:41-46.
  • 8Li Rencang. Relative perturbation theory III: more bounds on eigenvalue variation[ J]. Linear Algebra and its Application, 1997,266:337-345.
  • 9Ipsen C F. A note on absolute and relative perturbation bounds[ J ]. Linear Algebra and its Application, 2003, 358 : 239-253.
  • 10Fang Q. A note on corMition number of matrix [ J ]. J Comput Appl Math, 2003,157:231-234.

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