|
|||||
|
|
Estimates for the real and imaginary parts of the eigenvalues of matrices and applications |
|
| Authors: | Ibrahim Halil Gumus Omar Hirzallah |
| Affiliation: | 1. Faculty of Arts and Sciences, Department of Mathematics, Adiyaman University, Ad?yaman, Turkey.;2. Department of Mathematics, The Hashemite University, Zarqa, Jordan. |
| Abstract: | This paper is a continuation of our recent work on the localization of the eigenvalues of matrices. We give new bounds for the real and imaginary parts of the eigenvalues of matrices. Applications to the localization of the zeros of polynomials are also given. |
| Keywords: | real and imaginary parts of an eigenvalue Frobenius norm normal matrix spread of a matrix zeros of a polynomial |