数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (6): 1483-1491.doi: 10.1016/S0252-9602(15)30069-2

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A NOTE ON THE REPRESENTATIONS FOR THE GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES

Dijana MOSIC   

  1. Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia
  • 收稿日期:2014-11-28 修回日期:2014-06-02 出版日期:2015-11-01 发布日期:2015-11-01
  • 作者简介:Dijana MOSIĆ, E-mail: dijana@pmf.ni.ac.rs
  • 基金资助:

    The work was supported by the Ministry of Education and Science, Republic of Serbia (174007).

A NOTE ON THE REPRESENTATIONS FOR THE GENERALIZED DRAZIN INVERSE OF BLOCK MATRICES

Dijana MOSIC   

  1. Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia
  • Received:2014-11-28 Revised:2014-06-02 Online:2015-11-01 Published:2015-11-01
  • Supported by:

    The work was supported by the Ministry of Education and Science, Republic of Serbia (174007).

摘要:

We present some representations for the generalized Drazin inverse of a block matrix x= in a Banach algebra A in terms of ad and (bc)d under certain conditions, extending some recent result related to the generalized Drazin inverse of an anti-triangular operator matrix. Also, several particular cases of this result are considered.

关键词: generalized Drazin inverse, block matrix, Banach algebra

Abstract:

We present some representations for the generalized Drazin inverse of a block matrix x= in a Banach algebra A in terms of ad and (bc)d under certain conditions, extending some recent result related to the generalized Drazin inverse of an anti-triangular operator matrix. Also, several particular cases of this result are considered.

Key words: generalized Drazin inverse, block matrix, Banach algebra

中图分类号: 

  • 46H05