Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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How to Characterize Equalities for the Generalized Inverse $A^{(2)}_{T,S}$ of a Matrix

  • LIU, YONGHUI (Department of Mathematics, Zao Zhuang Normal College, Department of Mathematics, East China Normal University)
  • Received : 2002.12.30
  • Published : 2003.11.23
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Abstract

In this paper, some rank equalities related to generalized inverses $A^{(2)}_{T,S}$ of a matrix are presented. As applications, a variety of rank equalities related to the M-P inverse, the Drazin inverse, the group inverse, the weighted M-P inverse, the Bott-Duffin inverse and the generalized Bott-Duffin inverse are established.

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