On bordering of regular matrices

K. Manjunatha Prasad, K. P.S. Bhaskara Rao

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)245-259
Number of pages15
JournalLinear Algebra and Its Applications
Volume234
Issue number0
Publication statusPublished - 1996

Fingerprint

Ring
Factorization
Invertible matrix
Commutative Ring
Minor
Necessary Conditions
Computing
Sufficient Conditions
Gas

All Science Journal Classification (ASJC) codes

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

Cite this

Manjunatha Prasad, K. ; Bhaskara Rao, K. P.S. / On bordering of regular matrices. In: Linear Algebra and Its Applications. 1996 ; Vol. 234, No. 0. pp. 245-259.
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Manjunatha Prasad, K & Bhaskara Rao, KPS 1996, 'On bordering of regular matrices', 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.

In: Linear Algebra and Its Applications, Vol. 234, No. 0, 1996, p. 245-259.

Research output: Contribution to journalArticle

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