Determinantal representation of weighted generalized inverses (Q1004446)
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: Determinantal representation of weighted generalized inverses |
scientific article; zbMATH DE number 5527467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determinantal representation of weighted generalized inverses |
scientific article; zbMATH DE number 5527467 |
Statements
Determinantal representation of weighted generalized inverses (English)
0 references
10 March 2009
0 references
\textit{D.~W. Robinson} [Linear Algebra Appl. 411, 254--276 (2005; Zbl 1086.15500)] studied the Moore-Penrose inverse of a matrix in a commutative ring and gave a determinantal formula for the Moore-Penrose inverse. The authors of the present paper introduce some determinantal representations of the weighted generalized inverse by using a result of the paper above. They also present a method for computing minors of the weighted Moore-Penrose inverse and the W-weighted Drazin inverse.
0 references
determinantal representation
0 references
minor
0 references
weighted Moore-Penrose inverse
0 references
W-weighted Drazin inverse
0 references
commutative ring
0 references
0 references
