Article citationsMore>>

Donoho, D.L. and Tsaig, Y. (2008) Fast Solution of l₁ Norm Minimization Problems When the Solution May Be Sparse. IEEE Transactions on Information Theory, 54, 4789-4812.
http://dx.doi.org/10.1109/TIT.2008.929958

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.