Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical radii of accretive matrices   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.

26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th