Characterizations and Properties of Dual Matrix Star Orders

Hongxing Wang , Pei Huang

Communications on Applied Mathematics and Computation ›› 2025, Vol. 7 ›› Issue (1) : 179 -202.

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Communications on Applied Mathematics and Computation ›› 2025, Vol. 7 ›› Issue (1) :179 -202. DOI: 10.1007/s42967-023-00255-z
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Characterizations and Properties of Dual Matrix Star Orders
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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.

Keywords

Dual generalized inverse / D-star partial order / P-star partial order / Moore-Penrose dual generalized inverse / Dual Moore-Penrose generalized inverse / 15A09 / 15A66 / 06A06 / 15A24

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Hongxing Wang, Pei Huang. Characterizations and Properties of Dual Matrix Star Orders. Communications on Applied Mathematics and Computation, 2025, 7(1): 179-202 DOI:10.1007/s42967-023-00255-z

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Funding

National Natural Science Foundation of China(12061015)

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

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