A determinant for rectangular matrices
The familiar notion of the determinant is generalised to include rectangular matrices. An expression for a normalised generalised inverse of a matrix is given in terms of its determinant and a possible generalisation of the Schur complement is discussed as a simple application.
Gespeichert in:
| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 1980-02, Vol.21 (1), p.137-146 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | The familiar notion of the determinant is generalised to include rectangular matrices. An expression for a normalised generalised inverse of a matrix is given in terms of its determinant and a possible generalisation of the Schur complement is discussed as a simple application. |
|---|---|
| ISSN: | 0004-9727 1755-1633 |
| DOI: | 10.1017/S0004972700011369 |