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有界线性算子的Drazin逆的扰动

The Perturbation of the Drazin Inverse of Bounded Linear Operators
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摘要 给出了Drazin可逆算子在一个扰动下仍Drazin可逆的充分条件及Drazin逆的表达式,并根据给出的表达式,探讨了相关的误差估计界. The sufficient conditions and expression for the Drazin inverse of the perturbed were derived.And the bound of the re]ative error was given based on the expression.
作者 武淑霞
机构地区 四川民族学院数学系
出处 《宜宾学院学报》 2014年第6期10-12,共3页 Journal of Yibin University
基金 四川民族学院科研项目(12XYZB007)
关键词 DRAZIN逆 算子矩阵 扰动 范数 razin inverse operator matrix perturbation norm
分类号 O177.6 [理学—基础数学]
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参考文献6

  • 1杨凯凡,杜鸿科.扰动算子的Drazin可逆性及其Drazin逆的表达[J].数学学报（中文版）,2010,53(6):1187-1192. 被引量：3
  • 2Meyer C D, Rose N J. The index and the Drazin inverse of block triangu- lar matrices[J]. SIAM J Appl Math, 1977, 33: 1-7.
  • 3Djordjevic D S, Stanimirovic P S. On the generalized Drazin invcrs ad generalized resolvent[J]. Czechoslovak Math J, 2001, 51( 126): 617-6 .
  • 4Hartwig R E, Wang G, Wei Y. Some additive results on Drazin inverse [J]. Linear Algebra Appl, 2001, 322:207-217.
  • 5Djordjevic D S, Wei Y. Additive resuhs for the generalized 13razin in- verse[J]. J Austral Math Soe, 2002, 73: 115-125.
  • 6Wei Y, Wang G. The perturbation theory for the Drazin inverse and its applications[J]. Linear Algebra Appl, 1997, 258:179-186.

二级参考文献14

  • 1Wang G., Wei Y., Qiao S., Generalized Inverses: Theory and Computations, Graduate Series in Mathematics, vol. 5, Beijing: Science Press, 2004.
  • 2Conway J. B., A Course in Functional Analysis, Springer-Verlag, New York Inc. 1990.
  • 3Du H. K., Deng C. Y., The representation and characterization of Drazin inverses of operators on a Hilbert space, Linear Algebra and its Applications, 2005, 407: 117-124.
  • 4Du H. K., Yang K. F., Lian T. Y., Perturbations of Drazin invertible operators, has submitted.
  • 5Gonzalez N. C., Additive perturbation results for the Drazin inverse, Linear Algebra and its Applications, 2005, 397: 279-297.
  • 6Gonzalez N. C., Dopazo E., Representations of the Drazin inverse for a class of block matrices, Linear Algebra and its Applications 2005, 400: 253-269.
  • 7Li X., Wei Y., An expressing of the Drazin inverse of a perturbed matrix, Applied Mathematics and Uompuration, 2004, 153: 187-198.
  • 8Wei Y., The Drazin inverse of updating of a square matrix with application to perturbation formula, Applied Mathematics and Computation, 2007, 108: 77-83.
  • 9Li X., Wei Y., A note on the perturbation bound of the Drazin inverse, Applied Mathematics and Computation, 2003, 140: 329-340.
  • 10Wei Y., Qiao S., The representation and approximation of the Drazin inverse of a linear operator in Hilbert space, Applied Mathematics and Computation, 2003, 138:77- 89.

共引文献2

宜宾学院学报
2014年 第6期

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