Abstract
Necessary and sufficient conditions are given for a commutative ring ℝ to be a ring over which every regular matrix can he completed to an invertible matrix of a particular size by hordering. Such rings are precisely the protective free rings. Also, over such rings every regular matrix has a rank factorization. Using the bordering technique, we give an interesting method of computing minors of a reflexive g-inverse G of a regular matrix A when I - AC and I - GA have rank factorizations.
| Original language | English |
|---|---|
| Pages (from-to) | 245-259 |
| Number of pages | 15 |
| Journal | Linear Algebra and Its Applications |
| Volume | 234 |
| Issue number | 0 |
| Publication status | Published - 1996 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics