Open problems and perspectives on solving Friedrichs systems by Krylov approximation
<|reference_start|>Open problems and perspectives on solving Friedrichs systems by Krylov approximation: We set up, at the abstract Hilbert space setting, the general question on when an inverse linear problem induced by an operator of Friedrichs type admits solutions belonging to (the closure of) the Krylov subspace associated to such operator. Such Krylov solvability of abstract Friedrichs systems allows to predict when, for concrete differential inverse problems, truncation algorithms can or cannot reproduce the exact solutions in terms of approximants from the Krylov subspace.<|reference_end|>
@article{caruso2024open,
    title={Open problems and perspectives on solving Friedrichs systems by Krylov
  approximation},
    author={Noe Angelo Caruso and Alessandro Michelangeli},
    journal={arXiv preprint arXiv:2406.05777},
    year={2024},
    archivePrefix={arXiv},
    eprint={2406.05777},
    primaryClass={math.FA cs.NA math.AP math.NA}
}