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The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem

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  • Na Liu
  • Hongxing Wang
  • Efthymios G. Tsionas

Abstract

Based on the core-EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix. Furthermore, we generalize the Cayley–Hamilton theorem for special matrices including the WG matrix. Finally, we give examples to verify these results.

Suggested Citation

  • Na Liu & Hongxing Wang & Efthymios G. Tsionas, 2021. "The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, December.
    • Handle: RePEc:hin:jjmath:4952943
    DOI: 10.1155/2021/4952943
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    Cited by:

    1. Mosić, Dijana & Zhang, Daochang & Stanimirović, Predrag S., 2024. "An extension of the MPD and MP weak group inverses," Applied Mathematics and Computation, Elsevier, vol. 465(C).

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