An Optimal ADMM for Unilateral Obstacle Problems

An Optimal ADMM for Unilateral Obstacle Problems

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We PCB Extension Cable Assembly propose a new alternating direction method of multipliers (ADMM) with an optimal parameter for the unilateral obstacle problem.We first use the five-point difference scheme to discretize the problem.Then, we present an augmented Lagrangian by introducing an auxiliary unknown, and an ADMM is applied to the corresponding saddle-point problem.Through eliminating the primal and auxiliary unknowns, a pure dual algorithm is then used.

The convergence of the proposed method is analyzed, and a simple strategy is presented for selecting the optimal parameter, WHITE WILLOW with the largest and smallest eigenvalues of the iterative matrix.Several numerical experiments confirm the theoretical findings of this study.