Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Krylov solutions to infinite-dimensional inverse linear problems   We discuss, in the context of inverse linear problems in Hilbert space, the
notion of the associated infinite-dimensional Krylov subspace and we produce
necessary and sufficient conditions for the Krylov-solvability of a given
inverse problem, together with a series of model examples and numerical
experiments.

14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas