Core-EP-Nilpotent Decomposition and Its Applications

Yang Zhang, Zongyang Jiang and Xiaogang Liu

Journal of Mathematics, 2023, vol. 2023, 1-7

Abstract: We give the illustration of a new decomposition: the core-EP-nilpotent decomposition, which is on the basis of the core-EP decomposition and EP-nilpotent decomposition for some square matrices in this thesis. According to the new decomposition, we show the definitions and characteristics of two new orders: core-E-N partial order and core-E-S partial order. We also illustrate relations of the two orders under some restricted conditions.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1001901

DOI: 10.1155/2023/1001901

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