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group inverse
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(Definition)
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Let $A$ be an $n \times n$ matrix over $\mathbb{R}$ . A group inverse for $A$ is an $n \times n$ matrix $X$ such that
Such a matrix, when it exists, is unique and is denoted by $A^{\#}$ . A group inverse is a special case of a Drazin inverse.
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"group inverse" is owned by Mathprof.
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Cross-references: Drazin inverse, matrix
There are 4 references to this entry.
This is version 2 of group inverse, born on 2007-04-30, modified 2007-04-30.
Object id is 9306, canonical name is GroupInverse.
Accessed 2026 times total.
Classification:
| AMS MSC: | 15A09 (Linear and multilinear algebra; matrix theory :: Matrix inversion, generalized inverses) |
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Pending Errata and Addenda
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