Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the convergence of Kikuchi's natural iteration method   In this article we investigate on the convergence of the natural iteration
method, a numerical procedure widely employed in the statistical mechanics of
lattice systems to minimize Kikuchi's cluster variational free energies. We
discuss a sufficient condition for the convergence, based on the coefficients
of the cluster entropy expansion, depending on the lattice geometry. We also
show that such a condition is satisfied for many lattices usually studied in
applications. Finally, we consider a recently proposed general method for the
minimization of non convex functionals, showing that the natural iteration
method turns out as a particular case of that method.

29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph