An extended proximal ADMM algorithm for three-block nonconvex optimization problems (Q2043189)

scientific article; zbMATH DE number 7376409

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English	An extended proximal ADMM algorithm for three-block nonconvex optimization problems	scientific article; zbMATH DE number 7376409

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instance of

scholarly article

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title

An extended proximal ADMM algorithm for three-block nonconvex optimization problems (English)

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Journal of Computational and Applied Mathematics

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publication date

29 July 2021

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zbMATH Keywords

alternating direction method of multipliers

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nonconvex optimization

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linear constraints

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Kurdyka-łojasiewicz property

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proximal terms

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.cam.2021.113681

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cites work

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Iteration-Complexity of Block-Decomposition Algorithms and the Alternating Direction Method of Multipliers

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Convergence of alternating direction method for minimizing sum of two nonconvex functions with linear constraints

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Asymptotic properties of bridge estimators in sparse high-dimensional regression models

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Global Convergence of Splitting Methods for Nonconvex Composite Optimization

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A Symmetric Alternating Direction Method of Multipliers for Separable Nonconvex Minimization Problems

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The direct extension of ADMM for multi-block convex minimization problems is not necessarily convergent

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A note on the alternating direction method of multipliers

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On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function

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Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights

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On the convergence analysis of the alternating direction method of multipliers with three blocks

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Parallel multi-block ADMM with $o(1/k)$ convergence

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A Convergent $3$-Block Semi-Proximal ADMM for Convex Minimization Problems with One Strongly Convex Block

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On the sublinear convergence rate of multi-block ADMM

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Iteration complexity analysis of multi-block ADMM for a family of convex minimization without strong convexity

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Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems

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A Convergent 3-Block SemiProximal Alternating Direction Method of Multipliers for Conic Programming with 4-Type Constraints

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Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis

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On the linear convergence of the alternating direction method of multipliers

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Global convergence of ADMM in nonconvex nonsmooth optimization

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Alternating Direction Method of Multipliers for a Class of Nonconvex and Nonsmooth Problems with Applications to Background/Foreground Extraction

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Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods

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Proximal alternating linearized minimization for nonconvex and nonsmooth problems

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Convergence of ADMM for multi-block nonconvex separable optimization models

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On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

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Identifiers

zbMATH Open document ID

1472.90103

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Mathematics Subject Classification ID

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10.1016/J.CAM.2021.113681

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Sitelinks

Mathematics(1 entry)

mardi Publication:2043189