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AIMS Mathematics

2026, Volume 11, Issue 9: 27867-27889. doi: 10.3934/math.20261113
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Bott–Duffin Drazin inverse and its application

  • 1.
    Teaching Section of Mathematics, Hubei Engineering Institute, Huangshi 435000, China
  • 2.
    Department of Mathematics, School of Mathematics and Statistics, Hubei Normal University, Huangshi 435000, China
  • 3.
    Department of Mathematics, Shanghai University, Shanghai 200444, China
  • Published: 02 September 2026

  • MSC : 15A09

  • The paper introduces the Bott–Duffin Drazin inverse (in short, BDD inverse) of a complex square matrix, which is a generalization of the Bott–Duffin inverse and the Bott–Duffin group inverse. We study some properties, characterizations and representations of the BDD inverse. Finally, we further explore its applications in solving a class of restricted linear equations in electrical network theory.

    Citation: Jing Zhou, Tan Mei, Jiale Gao, Kezheng Zuo. Bott–Duffin Drazin inverse and its application[J]. AIMS Mathematics, 2026, 11(9): 27867-27889. doi: 10.3934/math.20261113

    Related Papers:

  • The paper introduces the Bott–Duffin Drazin inverse (in short, BDD inverse) of a complex square matrix, which is a generalization of the Bott–Duffin inverse and the Bott–Duffin group inverse. We study some properties, characterizations and representations of the BDD inverse. Finally, we further explore its applications in solving a class of restricted linear equations in electrical network theory.



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