Second order self-adaptive dynamical system for sparse signal reconstruction and applications to image recovery

摘要

In this article, we consider sparse signal reconstruction problems by an alternative sec-ond order self-adaptive dynamical system . By split feasibility problem of sparse signal re-construction, we introduce a new second order self-adaptive dynamical system. Then, we prove that the proposed system has a unique solution under reasonable conditions. Fur-thermore, it is shown that the corresponding orbit of the system always converges. Finally, all kinds of numerical results on synthetic data and data from practical problems verify the efficiency of the proposed approach .

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