Abstract
In this paper we propose an iterative method using alternating direction method of multipliers (ADMM) strategy to solve linear inverse problems in Hilbert spaces with a general convex penalty term. When the data is given exactly, we give a convergence analysis of our ADMM algorithm without assuming the existence of a Lagrange multiplier. In case the data contains noise, we show that our method is a regularization method as long as it is terminated by a suitable stopping rule. Various numerical simulations are performed to test the efficiency of the method.
Original language | English |
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Pages (from-to) | 2114-2137 |
Number of pages | 24 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 54 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2016 |