Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Selection Operator for the Discrete Empirical Interpolation Method
  -- improved a priori error bound and extensions   This paper introduces a new framework for constructing the Discrete Empirical
Interpolation Method DEIM projection operator. The interpolation node selection
procedure is formulated using the QR factorization with column pivoting, and it
enjoys a sharper error bound for the DEIM projection error. Furthermore, for a
subspace $\mathcal{U}$ given as the range of an orthonormal $U$, the DEIM
projection does not change if $U$ is replaced by $U \Omega$ with arbitrary
unitary matrix $\Omega$. In a large-scale setting, the new approach allows
modifications that use only randomly sampled rows of $U$, but with the
potential of producing good approximations with corresponding probabilistic
error bounds. Another salient feature of the new framework is that robust and
efficient software implementation is easily developed, based on readily
available high performance linear algebra packages.

31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph