Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified iterated Tikhonov methods for solving systems of nonlinear
  ill-posed equations   We investigate iterated Tikhonov methods coupled with a Kaczmarz strategy for
obtaining stable solutions of nonlinear systems of ill-posed operator
equations. We show that the proposed method is a convergent regularization
method. In the case of noisy data we propose a modification, the so called
loping iterated Tikhonov-Kaczmarz method, where a sequence of relaxation
parameters is introduced and a different stopping rule is used. Convergence
analysis for this method is also provided.

14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom