Characterizations of the group invertibility of a matrix revisited
A square complex matrix AA is said to be group invertible if there exists a matrix XX such that AXA=AAXA=A, XAX=XXAX=X, and AX=XAAX=XA hold, and such a matrix XX is called the group inverse of AA. The group invertibility of a matrix is one of the fundamental concepts in the theory of generalized inv...
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-11-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2022-0171 |