When is \(B^ -A^ -\) a generalized inverse of \(AB\)? (Q1338488)
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: When is \(B^ -A^ -\) a generalized inverse of \(AB\)? |
scientific article; zbMATH DE number 698642
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | When is \(B^ -A^ -\) a generalized inverse of \(AB\)? |
scientific article; zbMATH DE number 698642 |
Statements
When is \(B^ -A^ -\) a generalized inverse of \(AB\)? (English)
0 references
1 December 1994
0 references
When matrices \(A,B\) are invertible, their inverses satisfy \((AB)^{-1} = B^{-1}A^{-1}\). A matrix \(C^ -\) is a (1)-inverse of a matrix \(C\) if \(CC^ -C=C\). This paper examines when \(B^ -A^ -\) is a generalized inverse of \(AB\).
0 references
(1)-inverse
0 references
generalized inverse
0 references
