Some Equivalent Conditions on Quaternion -K- Normal Matrices

K. Gunasekaran; R. Kavitha

doi:https://doi.org/10.14445/22315373/IJMTT-V51P534

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 4 | Year 2017 | Article Id. IJMTT-V51P534 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P534

Some Equivalent Conditions on Quaternion -K- Normal Matrices

K. Gunasekaran, R. Kavitha

Abstract

The equivalent conditions of quaternion-k-normal (q-k-normal) and q-k-unitary matrices are discussed also the q-k-eigenvalues and the decomposition are given.

Keywords

q-k-normal matrix, q-k-unitary matrix, q-k-eigenvalue and q-k-eigenvector.

References

1. Fuzhen Zhang : Matrix Normal theory basic results and Techniques; Springer Publications (1999) 241-249.
2. Grone.R and Johnson.CR, E.M.SQ, H.Wolkowicz:Normal Matrices; Lin.Alg.Appl.,87 (1987) 213-225.
3. Gunasekaran. K and Kavitha. R: on Quaternion k-normal matrices; International Journal of Mathematical Archive-7(7), (2016) 93-101.
4. Hill.R.D, Water. S.R: on k-symmetric real and k-Hermitian matrices; Lin. Alg. Appl.,Vol 169 (1992) 17-29.
5. Zhang.F: Quaternions and matrices of quaternions; Lin.Alg.Appl., 251 (1997) 21-57.

Citation :

K. Gunasekaran, R. Kavitha, "Some Equivalent Conditions on Quaternion -K- Normal Matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 4, pp. 258-265, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P534