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

Author:

Liu Na1,Wang Hongxing1ORCID

Affiliation:

1. School of Mathematics and Physics, Guangxi Higher School Key Laboratory of Complex Systems and Intelligent Computing, Guangxi University for Nationalities, Nanning 530006, China

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.

Funder

Innovation Project of Guangxi Graduate Education

Publisher

Hindawi Limited

Subject

General Mathematics

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