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Daubechies, I., Defrise, M. and Christine, D.M. (2004) An Iterative Thresholding Algorithm for Linear Inverse Problems with a Sparsity Constraint. Communications on Pure and Applied Mathematics, 57, 1413-1457.
http://dx.doi.org/10.1002/cpa.20042

has been cited by the following article:

• TITLE: An Efficient Adaptive Iteratively Reweighted l1 Algorithm for Elastic lq Regularization

  AUTHORS: Yong Zhang, Wanzhou Ye

  KEYWORDS: Compressed Sensing, Elastic lq Minimization, Nonconvex Optimization, Convergence, Critical Point

  JOURNAL NAME: Advances in Pure Mathematics, Vol.6 No.7, June 16, 2016

  ABSTRACT: In this paper, we propose an efficient adaptive iteratively reweighted l1 algorithm (A-IRL1 algorithm) for solving the elastic lq regularization problem. We prove that the sequence generated by the A-IRL1 algorithm is convergent for any rational and the limit is a critical point of the elastic lq regularization problem. Under certain conditions, we present an error bound for the limit point of convergent sequence.