On the discrepancy principle

Details On the discrepancy principle On the discrepancy principle

2003-04-17

arxiv.org/abs/math-ph/0304028v1

NFAA, 8, N2, (2003)

Physics

Mathematical Physics

Scientific paper

A 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.

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