Characterizations of k-normal matrices

B.K.N.Muthugobal; R.Subash

doi:https://doi.org/10.14445/22315373/IJMTT-V4I11P4

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 11 | Year 2013 | Article Id. IJMTT-V4I11P4 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I11P4

Characterizations of k-normal matrices

B.K.N.Muthugobal , R.Subash

Abstract

In this paper to extend and generalize lists of characterizations of k-normal and k-hermitian matrices known in the literature, by providing numerous sets of equivalent conditions referring to the notions of conjugate transpose, Moore-Penrose and group inverse.

Keywords

k-normal, k-hermitian, Moore-Penrose inverse, Group inverse and Conjugate transpose.

References

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[6]. Oskar Maria Baksalary and Gotz Trenkler, “Characterizations of EP, Norma and Hermitian matrices” Linear and Multilinear Alg. Vol.56, No.3 (2008), 299-304.

Citation :

B.K.N.Muthugobal , R.Subash, "Characterizations of k-normal matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 11, pp. 280-287, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I11P4