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Core-EP-Nilpotent Decomposition and Its Applications

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  • Yang Zhang
  • Zongyang Jiang
  • Xiaogang Liu

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.

Suggested Citation

  • Yang Zhang & Zongyang Jiang & Xiaogang Liu, 2023. "Core-EP-Nilpotent Decomposition and Its Applications," Journal of Mathematics, Hindawi, vol. 2023, pages 1-7, January.
    • Handle: RePEc:hin:jjmath:1001901
    DOI: 10.1155/2023/1001901
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