Research Communication | Open Access
Volume 2019 | Communication ID 157
Volume 2019 | Communication ID 157
| New bounds for the numerical radius of a matrix |
Abdelkader Frakis
Received |
Accepted |
Published |
Jan 30, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: The numerical range of a square complex matrix $A$ plays an important role in different fields of contemporary mathematics, including numerical linear Algebra, operator theory, numerical analysis, matrix analysis, fluid dynamics and other. Using the numerical range we can localize the eigenvalues of $A$. The most related concept is the numerical radius of $A$, which is a quantity defined as the largest absolute value of the numbers in the numerical range. In this paper we exhibit new bounds of the numerical radius using the entries of the matrix $A$ itself.