Generalized inverses with proportional minors (Q1338508)
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scientific article; zbMATH DE number 698656
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized inverses with proportional minors |
scientific article; zbMATH DE number 698656 |
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Generalized inverses with proportional minors (English)
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8 January 1995
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The author generalizes his previous results that a rank \(r\) matrix over an integral domain has a Moore-Penrose inverse if and only if the sum of squares of the \(r \times r\) minors is a unit, and that there is a group inverse if and only if the sum of the principal minors of rank \(r\) is a unit.
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Moore-Penrose inverse
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minors
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group inverse
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