A new method for solving linear ill-posed problems

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摘要

In this paper, we propose a new method for solving large-scale ill-posed problems. This method is based on the Karush–Kuhn–Tucker conditions, Fisher–Burmeister function and the discrepancy principle. The main difference from the majority of existing methods for solving ill-posed problems is that, we do not need to choose a regularization parameter in advance. Experimental results show that the proposed method is effective and promising for many practical problems.

论文关键词:Ill-posed problems,Tikhonov regularization,L-curve,Generalized cross validation,Newton’s method

论文评审过程:Available online 24 April 2012.

论文官网地址:https://doi.org/10.1016/j.amc.2012.03.098