Levenberg-Marquardt method with general convex penalty for nonlinear inverse problems
Fu, Zhenwu 1Han, Bo 1Chen, Yong1
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作者信息
1. Harbin Inst Technol
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Abstract
We consider a Levenberg-Marquardt method for solving nonlinear inverse problems in Hilbert spaces. The proposed method uses general convex penalty terms to reconstruct nonsmooth solutions of inverse problems. Instead of an a priori choice, the regularization parameter in each iteration is chosen by solving an equation which depends on the residual. We utilize the discrepancy principle to terminate the iteration and give the convergence results. In addition, numerical simulations are presented to test the performance of the method. (C) 2021 Elsevier B.V. All rights reserved.
NSTL
Elsevier