Paper VI Optimization tools for solving nonlinear ill-posed problems

Abstract

Using the Land a-curve, we consider how a nonlinear ill-posed Tikhonov regularized problem can be solved with a Gauss-Newton method. The solution to the problem is chosen from the point on the logarithmic L-curve that has maximum curvature, i.e the corner. The L-curve is used for analyzing how the tradeoff between minimizing the solution norm versus the… (More)

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