Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of an iterative algorithm for Teichm\"uller maps via
  generalized harmonic maps   Finding surface mappings with least distortion arises from many applications
in various fields. Extremal Teichm\"uller maps are surface mappings with least
conformality distortion. The existence and uniqueness of the extremal
Teichm\"uller map between Riemann surfaces of finite type are theoretically
guaranteed [1]. Recently, a simple iterative algorithm for computing the
Teichm\"uller maps between connected Riemann surfaces with given boundary
value was proposed in [11]. Numerical results was reported in the paper to show
the effectiveness of the algorithm. The method was successfully applied to
landmark-matching registration. The purpose of this paper is to prove the
iterative algorithm proposed in [11] indeed converges.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ