Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving the Discrete Euler-Arnold Equations for the Generalized Rigid
  Body Motion   We propose three iterative methods for solving the Moser-Veselov equation,
which arises in the discretization of the Euler-Arnold differential equations
governing the motion of a generalized rigid body. We start by formulating the
problem as an optimization problem with orthogonal constraints and proving that
the objective function is convex. Then, using techniques from optimization on
Riemannian manifolds, the three feasible algorithms are designed. The first one
splits the orthogonal constraints using the Bregman method, whereas the other
two methods are of the steepest-descent type. The second method uses the
Cayley-transform to preserve the constraints and a Barzilai-Borwein step size,
while the third one involves geodesics, with the step size computed by Armijo's
rule. Finally, a set of numerical experiments are carried out to compare the
performance of the proposed algorithms, suggesting that the first algorithm has
the best performance in terms of accuracy and number of iterations. An
essential advantage of these iterative methods is that they work even when the
conditions for applicability of the direct methods available in the literature
are not satisfied.

19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org