separable multi-block convex optimization problem appears in many mathematical and engineering *** the first part of this paper,we propose an inertial proximal ADMM to solve a linearly constrained separablemulti-bloc...
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separable multi-block convex optimization problem appears in many mathematical and engineering *** the first part of this paper,we propose an inertial proximal ADMM to solve a linearly constrained separable multi-block convex optimization problem,and we show that the proposed inertial proximal ADMM has global convergence under mild assumptions on the regularization *** phase retrieval arises in holography,data separation and phaseless sampling,and it is also considered as a nonhomogeneous version of phase retrieval,which has received considerable attention in recent *** by convex relaxation of vector sparsity and matrix rank in compressive sensing and by phase lifting in phase retrieval,in the second part of this paper,we introduce a compressive affine phase retrieval via lifting approach to connect affine phase retrieval with multi-blockconvexoptimization,and then based on the proposed inertial proximal ADMM for 3-blockconvexoptimization,we propose an algorithm to recover sparse real signals from their(noisy)affine quadratic *** numerical simulations show that the proposed algorithm has satisfactory performance for affine phase retrieval of sparse real signals.
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