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Computational Aspects

  • Guorong WangEmail author
  • Yimin Wei
  • Sanzheng Qiao
Chapter
Part of the Developments in Mathematics book series (DEVM, volume 53)

Abstract

It follows from Chap.  1 that the six important kinds of generalized inverse: the M-P inverse \(A^\dag \), the weighted M-P inverse \(A_{MN}^{\dag }\), the group inverse \(A_g\), the Drazin inverse \(A_d\), the Bott-Duffin inverse \(A_{(L)}^{(-1)}\) and the generalized Bott-Duffin inverse \(A_{(L)}^{(\dag )}\) are all the generalized inverse \(A_{T,S}^{(2)}\), which is the \(\{ 2 \}\)-inverse of A with the prescribed range T and null space S.

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Copyright information

© Springer Nature Singapore Pte Ltd. and Science Press 2018

Authors and Affiliations

  1. 1.Department of MathematicsShanghai Normal UniversityShanghaiChina
  2. 2.Department of MathematicsFudan UniversityShanghaiChina
  3. 3.Department of Computing and SoftwareMcMaster UniversityHamiltonCanada

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