Numerical radii of accretive matrices

2020/07/16 by Yassine Bedrani, Fuad Kittaneh, Bedrani, Yassine +5 · 2 citations
Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2007.08654

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.

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• The numerical radius of fractional powers of matrices
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