New characteristics and applications of the EP, normal and Hermitian matrices

Xiaoji Liu; Huijia Hao

New characteristics and applications of the EP, normal and Hermitian matrices

Authors

Xiaoji Liu Guangxi Vocational Normal University - School of Education
Huijia Hao Guangxi Minzu University University - School of Mathematics and Physics

Keywords:

EP matrix, Hermitian matrix, generalized inverse, decompositions, normal matrix, core inverse

Abstract

In this paper, we present the EP-matrices, normal, and new features of the Hermitian matrix. We are going to push it to a higher order form. This paper describes EP-matrices, normal matrices and Hermitian matrix equivalent forms by using Core inverse. We also give several special equivalent facts by use decompositions. We also give other special equivalent facts. A new equivalent condition for the reverse order law is also obtained.

Cover of n°53 Italian Journal of Pure and Applied Mathematics

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Published

2025-05-19

How to Cite

Liu, X., & Hao, H. (2025). New characteristics and applications of the EP, normal and Hermitian matrices. Italian Journal of Pure and Applied Mathematics, 53, 248–266. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5660