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A Representation of the Drazin Inverse for the Sum of Two Matrices and the Anti-Triangular Block Matrices

Author

Listed:
  • Li Guo

    (School of Mathematics and Statistics, Beihua University, Jilin City 132013, China)

  • Guangli Hu

    (School of Mathematics and Statistics, Beihua University, Jilin City 132013, China)

  • Deyue Yu

    (School of Mathematics and Statistics, Beihua University, Jilin City 132013, China)

  • Tian Luan

    (School of Mathematics and Statistics, Beihua University, Jilin City 132013, China)

Abstract

In this paper, a new formula for the Drazin inverse for the Sum of Two Matrices is given under conditions weaker than those used in some current literature. Further, we apply our results to obtain new representations for the Drazin inverse of an anti-triangular block matrix under some conditions, which also extend some existing results.

Suggested Citation

  • Li Guo & Guangli Hu & Deyue Yu & Tian Luan, 2023. "A Representation of the Drazin Inverse for the Sum of Two Matrices and the Anti-Triangular Block Matrices," Mathematics, MDPI, vol. 11(17), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3661-:d:1224549
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    References listed on IDEAS

    as
    1. Xiaoji Liu & Shuxia Wu & Yaoming Yu, 2011. "On the Drazin Inverse of the Sum of Two Matrices," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-13, December.
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