Year: 2025
Type: article
Abstract: Normal matrices are an important class of matrices; many authors discuss the normality of matrices. In terms of projection matrices, the inverse of matrices, one-sided $ X $-equality, and $ X $-idempotency of matrices, many new characterizations of normal matrices are obtained in this paper. It may be the first time that the projection, one-sided $ X $-equality, and one-sided $ X $-idempotency are used to characterize the normality of matrices.
Source: AIMS Mathematics
DOI: 10.3934/math.2025550
Authors: Zhirong Guo, Qianglian Huang
Institutions: Yangzhou Vocational University, Yangzhou University
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
OpenAlex ID: W4410768626