Numerical radii of accretive matrices
Functional Analysis
2020-07-20 v1
Abstract
The numerical radius of a matrix is a scalar quantity that has many applications in the study of matrix analysis. Due to the difficulty in computing the numerical radius, inequalities bounding it have received a considerable attention in the literature. In this article, we present many new bounds for the numerical radius of accretive matrices. The importance of this study is the presence of a new approach that treats a specific class of matrices, namely the accretive ones. The new bounds provide a new set of inequalities, some of which can be considered as refinements of other existing ones, while others present new insight to some known results for positive matrices.
Cite
@article{arxiv.2007.08654,
title = {Numerical radii of accretive matrices},
author = {Yassine Bedrani and Fuad Kittaneh and Mohammed Sababheh},
journal= {arXiv preprint arXiv:2007.08654},
year = {2020}
}