The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem
Based on the core-EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix. Furthermore, we generalize the Cayley–Hamilton theorem for special matrices including the WG matrix. Finally, we give examples to verify these results.
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/4952943 |
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| _version_ | 1832566394178240512 |
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| author | Na Liu Hongxing Wang |
| author_facet | Na Liu Hongxing Wang |
| author_sort | Na Liu |
| collection | DOAJ |
| description | Based on the core-EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix. Furthermore, we generalize the Cayley–Hamilton theorem for special matrices including the WG matrix. Finally, we give examples to verify these results. |
| format | Article |
| id | doaj-art-2971e42d12c74d4c8883bf62df9b9e4d |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2971e42d12c74d4c8883bf62df9b9e4d2025-02-03T01:04:16ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/4952943The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton TheoremNa Liu0Hongxing Wang1School of Mathematics and PhysicsSchool of Mathematics and PhysicsBased on the core-EP decomposition, we use the WG inverse, Drazin inverse, and other inverses to give some new characterizations of the WG matrix. Furthermore, we generalize the Cayley–Hamilton theorem for special matrices including the WG matrix. Finally, we give examples to verify these results.http://dx.doi.org/10.1155/2021/4952943 |
| spellingShingle | Na Liu Hongxing Wang The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem Journal of Mathematics |
| title | The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem |
| title_full | The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem |
| title_fullStr | The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem |
| title_full_unstemmed | The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem |
| title_short | The Characterizations of WG Matrix and Its Generalized Cayley–Hamilton Theorem |
| title_sort | characterizations of wg matrix and its generalized cayley hamilton theorem |
| url | http://dx.doi.org/10.1155/2021/4952943 |
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