Core-EP-Nilpotent Decomposition and Its Applications
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/1001901 |
| _version_ | 1811171050046619648 |
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| author | Yang Zhang Zongyang Jiang |
| author_facet | Yang Zhang Zongyang Jiang |
| author_sort | Yang Zhang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T17:07:41Z |
| format | Article |
| id | doaj.art-ba8f62a6ad7540b8b59585f6d515b190 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-04-10T17:07:41Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-ba8f62a6ad7540b8b59585f6d515b1902023-02-06T01:40:35ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/1001901Core-EP-Nilpotent Decomposition and Its ApplicationsYang Zhang0Zongyang Jiang1School of MathematicsSchool of MathematicsWe 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.http://dx.doi.org/10.1155/2023/1001901 |
| spellingShingle | Yang Zhang Zongyang Jiang Core-EP-Nilpotent Decomposition and Its Applications Journal of Mathematics |
| title | Core-EP-Nilpotent Decomposition and Its Applications |
| title_full | Core-EP-Nilpotent Decomposition and Its Applications |
| title_fullStr | Core-EP-Nilpotent Decomposition and Its Applications |
| title_full_unstemmed | Core-EP-Nilpotent Decomposition and Its Applications |
| title_short | Core-EP-Nilpotent Decomposition and Its Applications |
| title_sort | core ep nilpotent decomposition and its applications |
| url | http://dx.doi.org/10.1155/2023/1001901 |
| work_keys_str_mv | AT yangzhang coreepnilpotentdecompositionanditsapplications AT zongyangjiang coreepnilpotentdecompositionanditsapplications |