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A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems - MaRDI portal

A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems (Q2307744)

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A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems
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    A hybrid Bregman alternating direction method of multipliers for the linearly constrained difference-of-convex problems (English)
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    25 March 2020
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    The authors investigate a Bregman ADMM type method for linearly constrained optimization problems with the objective being the sum of a smooth convex function and a dc function. Subgradient and/or proximal steps are used in the numerical scheme. By imposing some geometrical conditions, like the Kurdika-Lojasieewicz property, the authors are able to show convergence to a critical point. Numerical experiments in image processing and least squares problems are considered as well.
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    linearly constrained difference-of-convex problems
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    Bregman distance
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    alternating direction method of multipliers
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    Kurdyka-Łojasiewicz function
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