Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tridiagonalization of systems of coupled linear differential equations
  with variable coefficients by a Lanczos-like method   We show constructively that, under certain regularity assumptions, any system
of coupled linear differential equations with variable coefficients can be
tridiagonalized by a time-dependent Lanczos-like method. The proof we present
formally establishes the convergence of the Lanczos-like algorithm and yields a
full characterization of algorithmic breakdowns. From there, the solution of
the original differential system is available in closed form. This is a key
piece in evaluating the elusive ordered exponential function both formally and
numerically.

22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin