Characterizations and Properties of Dual Matrix Star Orders

Hongxing Wang; Pei Huang

doi:10.1007/s42967-023-00255-z

Communications on Applied Mathematics and Computation ›› 2023 DOI: 10.1007/s42967-023-00255-z

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Characterizations and Properties of Dual Matrix Star Orders

Hongxing Wang¹^,a ,
Pei Huang¹

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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.

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Hongxing Wang, Pei Huang. Characterizations and Properties of Dual Matrix Star Orders. Communications on Applied Mathematics and Computation, 2023 https://doi.org/10.1007/s42967-023-00255-z