In this paper, we propose an efficient adaptive iteratively reweighted l<sub>1</sub> algorithm (A-IRL1 algorithm) for solving the elastic l<sub>q</sub> regularization problem. We prove that the...In this paper, we propose an efficient adaptive iteratively reweighted l<sub>1</sub> algorithm (A-IRL1 algorithm) for solving the elastic l<sub>q</sub> 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 l<sub>q</sub> regularization problem. Under certain conditions, we present an error bound for the limit point of convergent sequence.展开更多
文摘In this paper, we propose an efficient adaptive iteratively reweighted l<sub>1</sub> algorithm (A-IRL1 algorithm) for solving the elastic l<sub>q</sub> 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 l<sub>q</sub> regularization problem. Under certain conditions, we present an error bound for the limit point of convergent sequence.
