Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diverging orbits for the Ehrlich-Aberth and the Weierstrass root finders   We show that the higher dimensional Weierstrass and Ehrlich-Aberth methods
for finding roots of polynomials have infinite orbits that diverge to infinity.
This is possible for the Jacobi update scheme (all coordinates are updated in
parallel) as well as Gauss-Seidel (any coordinate update is used for all
subsequent coordinates).

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th