On the discrepancy principle

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dc.creatorRamm, A. G.
dc.date2003-04-17
dc.date.accessioned2026-07-07T04:29:58Z
dc.date.available2026-07-07T04:29:58Z
dc.descriptionA simple proof of the convergence of the variational regularization, with the regularization parameter, chosen by the discrepancy principle, is given for linear operators under suitable assumptions. It is shown that the discrepancy principle, in general, does not yield uniform with respect to the data convergence. An a priori choice of the regularization parameter is proposed and justified for some nonlinear operator equations.
dc.identifierhttps://arxiv.org/abs/math-ph/0304028
dc.identifierhttp://arxiv.org/abs/math-ph/0304028
dc.identifierNFAA, 8, N2, (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57358
dc.subjectMathematical Physics
dc.subject34R30, 35R25, 35R30, 37C35, 37L05, 37N30, 47A52, 47J06, 65M30, 65N21
dc.titleOn the discrepancy principle
dc.typetext

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