Conjugate Secondary Normal Matrices with Conjugate Secondary Normal Submatrices

Dr. R.Raja

doi:https://doi.org/10.14445/22315373/IJMTT-V55P570

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 55 | Number 7 | Year 2018 | Article Id. IJMTT-V55P570 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P570

Conjugate Secondary Normal Matrices with Conjugate Secondary Normal Submatrices

Dr. R.Raja

Abstract

In studying, the reduction of a complex n x n matrix A to its Hessenbery form by the Arnoldi algorithm, T.Huckle [2] discovered that an irreducible Hessenbery normal matrix with a normal leading principal m x m submatrix, where 1<m

Keywords

s-normal matrix, con-s-normal matrix, con-s-normal submatrix, s-unitary, irreducible tridiagonal matrix.

References

1. Elsner, L. and Ikramov, Kh.D., “On normal matrices with normal principal submatrices.” Zap. Nauchn. Semin. POMI, 229 (1995), 63-94.
2. Huckle, T., “The Arnoldi method for normal matrices.” SIAM. J. Matrix Anal. Appl., 15, No. 2 (1994), 479-489.
3. Krishnamoorthy, S. and Raja, R., “On Con-s-normal matrices.” International J. of Math. Sci. and Engg. Appls., Vol.5 (II), (2011), 131-139.

Citation :

Dr. R.Raja, "Conjugate Secondary Normal Matrices with Conjugate Secondary Normal Submatrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 7, pp. 541-544, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P570