On Krylov solutions to infinite-dimensional inverse linear problems
Numerical Analysis
2019-08-28 v2 Numerical Analysis
Functional Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1811.08202,
title = {On Krylov solutions to infinite-dimensional inverse linear problems},
author = {Noe Caruso and Alessandro Michelangeli and Paolo Novati},
journal= {arXiv preprint arXiv:1811.08202},
year = {2019}
}
Comments
To appear in Calcolo (2019)