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Linear and Multilinear Algebra Volume 64, 2016 - Issue 5
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Articles

Minus partial order on regular matrices

Manjunatha Prasad KaranthaDepartment of Statistics, Manipal University, Manipal, India.Correspondence[email protected] [email protected]
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,
MohanaDepartment of Mathematics, Mangalore University, Mangalagangotri, India.View further author information
&
P. Divya ShenoyDepartment of Statistics, Manipal University, Manipal, India.;Department of Mathematics, Manipal Institute of Technology, Manipal, India.View further author information
Pages 929-941 | Received 02 Sep 2014, Accepted 16 Jun 2015, Published online: 24 Jul 2015

References

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  • Hartwig RE. How to order regular elements? Math. Japon. 1980;25:1–13.
  • Bhaskara Rao KPS. Generalized inverses of matices over integral domain. Linear Algebra Appl. 1983;49:179–189.
  • Manjunatha Prasad K. Generalized inverse of matrices over commutative rings. Linear Algebra Appl. 1994;211:35–52.
  • Jacobson N. Basic algebra I & II: W.H. New York: Freeman; 1974.
  • Mitra SK. The minus partial order and shorted matrix. Linear Algebra Appl. 1986;81:207–236.
  • Rao CR, Mitra SK. Generalized inverse of matrices and its applications. New York: Wiley; 1971.
  • Mitra SK, Bhimasankarm P, Malik SB. Matrix partial orders, shorted operators and applications. Hackensack, NJ: World Scientific; 2010.

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