Characterizations and Properties of Dual Matrix Star Orders

Abstract

In this paper, we introduce the D-star order, T-star order, and P-star order on the class of dual matrices. By applying the matrix decomposition and dual generalized inverses, we discuss properties, characterizations, and relations among these orders, and illustrate their relations with examples.

Funding

National Natural Science Foundation of China(12061015)

Xiangsihu Young Scholars Innovative Research Team of Guangxi Minzu University(2019RSCXSHQN03)

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