Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time integration of symmetric and anti-symmetric low-rank matrices and
  Tucker tensors   A numerical integrator is presented that computes a symmetric or
skew-symmetric low-rank approximation to large symmetric or skew-symmetric
time-dependent matrices that are either given explicitly or are the unknown
solution to a matrix differential equation. A related algorithm is given for
the approximation of symmetric or anti-symmetric time-dependent tensors by
symmetric or anti-symmetric Tucker tensors of low multilinear rank. The
proposed symmetric or anti-symmetric low-rank integrator is different from
recently proposed projector-splitting integrators for dynamical low-rank
approximation, which do not preserve symmetry or anti-symmetry. However, it is
shown that the (anti-)symmetric low-rank integrators retain favourable
properties of the projector-splitting integrators: low-rank time-dependent
matrices and tensors are reproduced exactly, and the error behaviour is robust
to the presence of small singular values, in contrast to standard integration
methods applied to the differential equations of dynamical low-rank
approximation. Numerical experiments illustrate the behaviour of the proposed
integrators.

32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph