Titlebook: Nonsmooth Optimization and Its Applications; Seyedehsomayeh Hosseini,Boris S. Mordukhovich,Andr Book 2019 The Editor(s) (if applicable) an

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Book 2019 problems is undeniable. Even solving difficult smooth problems sometimes requires the use of nonsmooth optimization methods, in order to either reduce the problem’s scale or simplify its structure. Accordingly, the field of nonsmooth optimization is an important area of mathematical programming tha

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The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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An Approximate ADMM for Solving Linearly Constrained Nonsmooth Optimization Problems with Two Blockection method of multipliers is developed for solving these problems. In this method the subproblems are solved approximately. The convergence of the method is studied. New test problems are designed and used to verify the efficiency of the proposed method and to compare it with two versions of the proximal bundle method.