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A linearly convergent algorithm for sparse signal reconstruction

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For the sparse signal reconstruction problem in compressive sensing, we propose a projection-type algorithm without any backtracking line search based on a new formulation of the problem. Under suitable conditions,… Click to show full abstract

For the sparse signal reconstruction problem in compressive sensing, we propose a projection-type algorithm without any backtracking line search based on a new formulation of the problem. Under suitable conditions, global convergence and its linear convergence of the designed algorithm are established. The efficiency of the algorithm is illustrated through some numerical experiments on some sparse signal reconstruction problem.

Keywords: sparse signal; algorithm sparse; signal reconstruction; linearly convergent; convergent algorithm

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2018

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