s-g INVERSE OF s-NORMAL MATRICES

R. Vijayakumar

doi:https://doi.org/10.14445/22315373/IJMTT-V39P531

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 39 | Number 4 | Year 2016 | Article Id. IJMTT-V39P531 | DOI : https://doi.org/10.14445/22315373/IJMTT-V39P531

s-g INVERSE OF s-NORMAL MATRICES

R. Vijayakumar

Abstract

s-g inverse of a given square matrix is defined and its characterizations are obtained. s-hermitian idempotent matrix is defined. Properties of s-g inverse of an s-normal matrix are given.n AMS classifications: 15A09, 15A57.

Keywords

s-normal, s-unitary, nilpotent, s-hermitian matrices.

References

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[2] Isarel-Adi Ben and Greville Thomas M E; Generalized inverses: Theory and Applications; A wiley interscience publications Newyork, 1974.
[3] Ann Lee: Secondary symmetric, secondary skew symmetric, secondary orthogonal matrices; Period math. Hungary 7, 63-76, 1976.
[4] S.Krishnamoorthy, R. Vijayakumar, On s-normal matrices, Journal of Analysis and Computation, Vol 2, 2009.
[5] S.Krishnamoorthy, R.Vijayakumar, Some characteristics on s-normal matrices, International Journal of Computational and Applied mathematics, Vol.4, No.1, 49- 53, 2009.
[6] S. Krishnamoorthy, R. Vijayakumar, Some equivalent conditions on s-normal matrices, International Journal of Contemporary Mathematical Sciences, Vol.4, No.29, 1449- 1454, 2009.

Citation :

R. Vijayakumar, "s-g INVERSE OF s-NORMAL MATRICES," International Journal of Mathematics Trends and Technology (IJMTT), vol. 39, no. 4, pp. 240-244, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V39P531