A simplified L-curve method as error estimator

Electronic Transactions on Numerical Analysis

article

Stefan Kindermann¹  Kemal Raik¹ 

[1] Industrial Mathematics Institute, Johannes Kepler University Linz

关键词: heuristic parameter choice;    L-curve method;    regularization;   

DOI  :  10.1553/etna_vol53s217

学科分类：数学（综合）

来源: Kent State University * Institute of Computational Mathematics

【 摘 要 】

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.

【 授权许可】

Unknown