The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\) over a skew field (Q555445)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\) over a skew field |
scientific article; zbMATH DE number 5931368
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\) over a skew field |
scientific article; zbMATH DE number 5931368 |
Statements
The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\) over a skew field (English)
0 references
22 July 2011
0 references
The reverse order law is characterized for the generalized inverse \(A^{(2)}_{T,S}\) in the approach of skew fields. A simple necessary and sufficient condition is obtained in terms of the rank of certain prescribed matrices. In addition, some particular cases are derived for the Moore-Penrose inverse, the Drazin inverse and the group inverse matrix over skew fields.
0 references
generalized inverse \(A^{(2)}_{T,S}\)
0 references
reverse order law
0 references
skew field
0 references
Moore-Penrose inverse
0 references
Drazin inverse
0 references
group inverse
0 references
0 references
