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Some results on Krylov solvability in Banach space and connections to spectral theory
Noe Angelo Caruso
This article contains the first steps in a general analysis of the problem of Krylov solvability of the inverse linear problem in a Banach space. In contrast to the well-studied Hi…
Open problems and perspectives on solving Friedrichs systems by Krylov approximation
Noe Angelo Caruso, Alessandro Michelangeli
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 (th…
Structural properties of Krylov subspaces, Krylov solvability, and applications to unbounded self-adjoint operators
Noè Angelo Caruso
This paper presents a study of the inherent structural properties of Krylov subspaces, in particular for the self-adjoint class of operators, and how they relate with the important…
Krylov solvability under perturbations of abstract inverse linear problems
Noe Angelo Caruso, Alessandro Michelangeli
When a solution to an abstract inverse linear problem on Hilbert space is approximable by finite linear combinations of vectors from the cyclic subspace associated with the datum a…