A simplified L-curve method as error estimator

08/27/2019
by   Stefan Kindermann, et al.
0

The L-curve method is a well-known heuristic method for choosing the regularization parameter for ill-posed problems by selecting it according to the maximal curvature of the L-curve. In this article, we propose a simplified version that replaces the curvature essentially by the derivative of the parameterization on the y-axis. This method shows a similar behaviour to the original L-curve method, but unlike the latter, it may serve as an error estimator under typical conditions. Thus, we can accordingly prove convergence for the simplified L-curve method.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset