### 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 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics

### Cite this

*Linear Algebra and Its Applications*,

*234*(0), 245-259.

}

*Linear Algebra and Its Applications*, vol. 234, no. 0, pp. 245-259.

**On bordering of regular matrices.** / Manjunatha Prasad, K.; Bhaskara Rao, K. P.S.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On bordering of regular matrices

AU - Manjunatha Prasad, K.

AU - Bhaskara Rao, K. P.S.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=9644252815&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=9644252815&partnerID=8YFLogxK

M3 - Article

VL - 234

SP - 245

EP - 259

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

IS - 0

ER -