Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parallel Matrix Function Evaluation via Initial value ODE modelling   The purpose of this article is to propose ODE based approaches for the
numerical evaluation of matrix functions $f(A)$, a question of major interest
in the numerical linear algebra. To this end, we model $f(A)$ as the solution
at a finite time $T$ of a time dependent equation. We use parallel algorithms,
such as the parareal method, on the time interval $[0, T]$ in order to solve
the evolution equation obtained. When $f(A)$ is reached as a stable steady
state, it can be computed by combining parareal algorithms and optimal control
techniques. Numerical illustrations are given.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys