The Generalized Inverse of Upper Triangular Operator Matrix and Its Applications in Perturbation Analysis

被引:0
|
作者
Deng, Chun-Yuan [1 ]
机构
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
关键词
generalized inverse; Drazin inverse; Perturbation;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the representations of generalized inverse and generalized Drazin inverse of upper triangular block operator matrix on Banach spaces. We consider some applications of our results to the perturbation and analyze a number of special cases.
引用
收藏
页码:35 / 38
页数:4
相关论文
共 50 条
  • [1] Perturbation analysis of generalized inverse of quaternion matrix
    Li, Ying
    Zhao, Linlin
    Advances in Matrix Theory and Applications, 2006, : 482 - 485
  • [2] ON THE DRAZIN INVERSE FOR UPPER TRIANGULAR OPERATOR MATRICES
    Zguitti, Hassane
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (02): : 27 - 33
  • [3] The (Generalized) Weylness of Upper Triangular Operator Matrices
    J. Dong
    X. H. Cao
    Analysis Mathematica, 2020, 46 : 465 - 481
  • [4] Perturbation of Browder spectrum of upper triangular operator matrices
    Zhang, Shifang
    Zhang, Lin
    Zhong, Huaijie
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (03): : 502 - 511
  • [5] The (Generalized) Weylness of Upper Triangular Operator Matrices
    Dong, J.
    Cao, X. H.
    ANALYSIS MATHEMATICA, 2020, 46 (03) : 465 - 481
  • [6] Construction of the Inverse Matrix to a Block Upper Triangular Matrix
    Fedorenko, Sergei V.
    Shmelkin, Dmitri
    2016 XV INTERNATIONAL SYMPOSIUM PROBLEMS OF REDUNDANCY IN INFORMATION AND CONTROL SYSTEMS (REDUNDANCY), 2016, : 43 - 44
  • [7] The Similarity of Upper Triangular Block Operator Matrix
    Zhai, Fahui
    Zhao, Weina
    PROCEEDINGS OF THE THIRD INTERNATIONAL WORKSHOP ON MATRIX ANALYSIS AND APPLICATIONS, VOL 3, 2009, : 314 - 317
  • [8] On the numerical radius of an upper triangular operator matrix
    Naimi, Mehdi
    Benharrat, Mohammed
    TAMKANG JOURNAL OF MATHEMATICS, 2024, 55 (02): : 195 - 201
  • [9] A note on the spectrum of an upper triangular operator matrix
    Barraa, M
    Boumazgour, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (10) : 3083 - 3088
  • [10] Perturbation theory for the generalized Bott-Duffin inverse and its applications
    Chen, GL
    Liu, GM
    Xue, YF
    APPLIED MATHEMATICS AND COMPUTATION, 2002, 129 (01) : 145 - 155