A Note on the Krylov Solvability of Compact Normal Operators on Hilbert Space
Noè Angelo Caruso
Abstract:We analyse the Krylov solvability of inverse linear problems on Hilbert space $$\mathcal {H}$$
H
where the underlying operator is compact and normal. Krylov solvability is an important feature of inverse linear problems that has profound implications in theoretical and applied numerical analysis as it is critical to understand the utility of Krylov based methods for solving inverse problems. Our results explicitly describe for the first time the Krylov subspace for such opera… Show more
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