In this paper, we consider the convergence rate of ADMM when applying to the convex optimization problems that the subdifferentials of the underlying functions are piecewise linear multifunctions, ...

In this note, we extend the algorithms Extra [13] and subgradient-push [10] to a new algorithm ExtraPush for consensus optimization with convex differentiable objective functions over a directed ...

Concurrently, error analysis plays a crucial role in quantifying the reliability and convergence of numerical approximations used to solve these complex problems.

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