The Bott-Duffin drazin inverse and its application
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909652992655360 |
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| author | Zheng, Lu Zhang, Xiangyu Zuo, Kezheng Zhou, Jing |
| author_facet | Zheng, Lu Zhang, Xiangyu Zuo, Kezheng Zhou, Jing |
| contents | The paper introduce a new type of generalized inverse, called Bott-Duffin drazin inverse (or, in short, BDD-inverse) of a complex square matrix, and give some of its properties, characterizations and representations. Furthermore, We discuss the problem of the minimum P-norm solution of the constraint matrix equation by using the Bott-Duffin drazin inverse, and give Cramer s rule for this minimum P-norm solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16018 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Bott-Duffin drazin inverse and its application Zheng, Lu Zhang, Xiangyu Zuo, Kezheng Zhou, Jing Rings and Algebras The paper introduce a new type of generalized inverse, called Bott-Duffin drazin inverse (or, in short, BDD-inverse) of a complex square matrix, and give some of its properties, characterizations and representations. Furthermore, We discuss the problem of the minimum P-norm solution of the constraint matrix equation by using the Bott-Duffin drazin inverse, and give Cramer s rule for this minimum P-norm solution. |
| title | The Bott-Duffin drazin inverse and its application |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2506.16018 |