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扰动算子的Drazin可逆性及其Drazin逆的表达 被引量：3

Drazin Invertibility and the Expression of the Drazin Inverse of a Perturbed Operator
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摘要 本文给出了Drazin可逆算子在一个扰动下仍然Drazin可逆的充分条件,给出了扰动算子Drazin逆的表达式.同时,并根据其Drazin逆的表达式,得到了其相关的误差估计界. In this paper,some sufficient conditions for a Drazin invertible operator to be still Drazin invertible under a perturbation are established.The expression for the Drazin inverse of the perturbed operator is derived.Moreover,based on the expression, the bound of the relative error is developed.
作者 杨凯凡 杜鸿科
机构地区 陕西理工学院数学系 陕西师范大学数学与信息科学学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2010年第6期1187-1192,共6页 Acta Mathematica Sinica：Chinese Series
基金 国家自然科学基金资助项目(10871224) 陕西省教育厅自然科学基金(09JK380)
关键词 DRAZIN逆 扰动 空间分解 Drazin inverse perturbation space decomposition
分类号 O177.91 [理学—基础数学]
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参考文献14

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  • 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.
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同被引文献13

  • 1岑建苗.关于长方矩阵的加权群逆的存在性[J].计算数学,2007,29(1):39-48. 被引量：15
  • 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.
  • 7Xingping Sheng,Guoliang Chen.The computation and perturbation analysis for weighted group inverse of rectangular matrices[J]. Journal of Applied Mathematics and Computing . 2009 (1-2)
  • 8Cline RE,Greville TNE.A Drazin inverse for rectangular matrices. Linear Algebra and Its Applications . 1980
  • 9DJORDJEVIC D.S.,VLADIMIRI RAKOCEVIC。.Lectureson generalized inverse. Faculty of Sciences and Mathematics:University of NiS . 2008
  • 10Zeidler E.Nonlinear Functional Analysis and its Applications Ⅱ/B: Nonlinear Monotone operators[]..1990

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数学学报（中文版）
2010年 第6期

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