Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Potra-Pt\'ak method to determine the multiple zeros of
  nonlinear equations   In this paper, we present a third-order iterative method based on
Potra-Pt{\'a}k method to compute the approximate multiple roots of nonlinear
equations. The method requires two evaluations of the function and one
evaluation of its first derivative per iteration and it has the efficiency
index equal to $3^{\frac{1}{3}}\approx 1.44225$. We describe the analysis of
the proposed methods along with numerical experiments including comparison with
existing methods. Moreover, the attraction basins are shown and compared with
other existing methods.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin