This work investigates the theoretical performance of alternating-direction method multipliers (ADMM) as it applies to nonconvex optimization problems, and in particular, problems with constraint sets. The alternating direction is an that has largely been analyzed for convex problems. ultimate goal assess what kind convergence properties case, this end, contributions are twofold. First, analyze...

Color image restoration is an ill-posed problem, and regularization necessary. In this paper, we first formulate the color problem into a constrained minimization that minimizes quadratic functional subject to constraint total variation of less than given parameter δ. The advantages over traditional unconstrained one δ has obvious physical meaning easy select. However solving generally more dif...