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In the field of compressed sensing, ℓ1−2$\ell _{1-2}$‐minimization model can recover the sparse signal well. In dealing with the ℓ1−2$\ell _{1-2}$‐minimization problem, most of the existing literature uses the difference of convex algorithm (DCA) to solve the unrestricted ℓ1−2$\ell _{1-2}$‐minimization model, that is, model (4). Although experiment...