Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The W4 method: a new multi-dimensional root-finding scheme for nonlinear
  systems of equations   We propose a new class of method for solving nonlinear systems of equations,
which, among other things,has four nice features: (i) it is inspired by the
mathematical property of damped oscillators, (ii) it can be regarded as a
simple extention to the Newton-Raphson(NR) method, (iii) it has the same local
convergence as the NR method does, (iv) it has a significantly wider
convergence region or the global convergence than that of the NR method. In
this article, we present the evidence of these properties, applying our new
method to some examples and comparing it with the NR method.

28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th