Open AccessThe Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem
Author(s) -
Na Liu,
Hongxing Wang
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/4952943
Subject(s) - mathematics , drazin inverse , inverse , matrix (chemical analysis) , algebra over a field , pure mathematics , combinatorics , geometry , materials science , composite material
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.
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