Displacement structure of the DMP inverse
A matrix AA is said to have the displacement structure if the rank of the Sylvester displacement AU−VAAU-VA or the Stein displacement A−VAUA-VAU is much smaller than the rank of AA. In this article, we study the displacement structure of the DMP inverse Ad,†{A}^{d,\dagger }. Estimations for the Sylv...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-10-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2022-0506 |
| Summary: | A matrix AA is said to have the displacement structure if the rank of the Sylvester displacement AU−VAAU-VA or the Stein displacement A−VAUA-VAU is much smaller than the rank of AA. In this article, we study the displacement structure of the DMP inverse Ad,†{A}^{d,\dagger }. Estimations for the Sylvester displacement rank of DMP inverse are presented under some restrictions. The generalized displacement is also discussed. The general results are applied to the core inverse. |
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| ISSN: | 2391-5455 |