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math.NA2024
Comparing the ill-posedness for linear operators in Hilbert spaces
Peter Mathé, Bernd Hofmann
The difficulty for solving ill-posed linear operator equations in Hilbert space is reflected by the strength of ill-posedness of the governing operator, and the inherent solution s…
math.NA2024
Tractability of linear ill-posed problems in Hilbert space
Peter Mathé, Bernd Hofmann
We introduce a notion of tractability for ill-posed operator equations in Hilbert space. For such operator equations the asymptotics of the best possible rate of reconstruction in…