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   Articles with "alternating direction" as a keyword



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Solving variational inequalities and cone complementarity problems in nonsmooth dynamics using the alternating direction method of multipliers

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recommendations! Published in 2021 at "International Journal for Numerical Methods in Engineering"

DOI: 10.1002/nme.6693

Abstract: This work presents a numerical method for the solution of variational inequalities arising in nonsmooth flexible multibody problems that involve set‐valued forces. For the special case of hard frictional contacts, the method solves a second… read more here.

Keywords: direction method; alternating direction; cone complementarity; method ... See more keywords
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An inexact proximal generalized alternating direction method of multipliers

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recommendations! Published in 2020 at "Computational Optimization and Applications"

DOI: 10.1007/s10589-020-00191-1

Abstract: This paper proposes and analyzes an inexact variant of the proximal generalized alternating direction method of multipliers (ADMM) for solving separable linearly constrained convex optimization problems. In this variant, the first subproblem is approximately solved… read more here.

Keywords: alternating direction; proximal generalized; direction method; generalized alternating ... See more keywords
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Iteration-complexity analysis of a generalized alternating direction method of multipliers

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recommendations! Published in 2019 at "Journal of Global Optimization"

DOI: 10.1007/s10898-018-0697-z

Abstract: This paper analyzes the iteration-complexity of a generalized alternating direction method of multipliers (G-ADMM) for solving separable linearly constrained convex optimization problems. This ADMM variant, first proposed by Bertsekas and Eckstein, introduces a relaxation parameter… read more here.

Keywords: alternating direction; direction method; generalized alternating; iteration complexity ... See more keywords
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A Partially Inexact Proximal Alternating Direction Method of Multipliers and Its Iteration-Complexity Analysis

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recommendations! Published in 2019 at "Journal of Optimization Theory and Applications"

DOI: 10.1007/s10957-019-01525-8

Abstract: This paper proposes a partially inexact proximal alternating direction method of multipliers for computing approximate solutions of a linearly constrained convex optimization problem. This method allows its first subproblem to be solved inexactly using a… read more here.

Keywords: complexity; alternating direction; direction method; method ... See more keywords
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Local Linear Convergence of the Alternating Direction Method of Multipliers for Nonconvex Separable Optimization Problems

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recommendations! Published in 2021 at "Journal of Optimization Theory and Applications"

DOI: 10.1007/s10957-020-01782-y

Abstract: In this paper, we consider the convergence rate of the alternating direction method of multipliers for solving the nonconvex separable optimization problems. Based on the error bound condition, we prove that the sequence generated by… read more here.

Keywords: alternating direction; direction method; convergence; method multipliers ... See more keywords
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A dual symmetric Gauss-Seidel alternating direction method of multipliers for hyperspectral sparse unmixing

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recommendations! Published in 2020 at "Numerical Algorithms"

DOI: 10.1007/s11075-020-00985-8

Abstract: Since sparse unmixing has emerged as a promising approach to hyperspectral unmixing, some spatial-contextual information in the hyperspectral images has been exploited to improve the performance of the unmixing recently. The total variation (TV) has… read more here.

Keywords: alternating direction; direction method; hyperspectral sparse; sparse unmixing ... See more keywords
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Sparse Reconstruction of Fluorescence Molecular Tomography Using Variable Splitting and Alternating Direction Scheme

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recommendations! Published in 2017 at "Molecular Imaging and Biology"

DOI: 10.1007/s11307-017-1088-4

Abstract: PurposeFluorescence molecular tomography (FMT) is a novel imaging modality for three-dimensional preclinical research and has many potential applications for drug therapy evaluation and tumor diagnosis. However, FMT presents an ill-conditioned and ill-posed inverse problem, which… read more here.

Keywords: reconstruction; alternating direction; variable splitting; molecular tomography ... See more keywords
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An inexact alternating direction method of multipliers with relative error criteria

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recommendations! Published in 2017 at "Optimization Letters"

DOI: 10.1007/s11590-016-1021-9

Abstract: In this paper, we study an inexact version of the alternating direction method of multipliers (ADMM) for solving two-block separable linearly constrained convex optimization problems. Specifically, the two subproblems in the classic ADMM are allowed… read more here.

Keywords: relative error; alternating direction; direction method; error criteria ... See more keywords
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Inexact alternating direction method based on Newton descent algorithm with application to Poisson image deblurring

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recommendations! Published in 2017 at "Signal, Image and Video Processing"

DOI: 10.1007/s11760-016-0973-7

Abstract: The recovery of images from the observations that are degraded by a linear operator and further corrupted by Poisson noise is an important task in modern imaging applications such as astronomical and biomedical ones. Gradient-based… read more here.

Keywords: image; alternating direction; inexact alternating; newton descent ... See more keywords
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Projected Alternating Direction Method of Multipliers for Hybrid Systems

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recommendations! Published in 2017 at "IFAC-PapersOnLine"

DOI: 10.1016/j.ifacol.2017.08.1571

Abstract: Abstract In large-scale control optimization problems, a decentralized control structure can offer great scalability and rapidity advantages over a centralized implantation. Alternating Direction Method of Multipliers (ADMM) is a decentralized optimization algorithm which has the… read more here.

Keywords: algorithm; alternating direction; hybrid systems; direction method ... See more keywords
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Axisymmetric alternating direction explicit scheme for efficient coupled simulation of hydro-mechanical interaction in geotechnical engineering—Application to circular footing and deep tunnel in saturated ground

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recommendations! Published in 2018 at "Journal of rock mechanics and geotechnical engineering"

DOI: 10.1016/j.jrmge.2017.09.010

Abstract: Abstract Explicit solution techniques have been widely used in geotechnical engineering for simulating the coupled hydro-mechanical (H-M) interaction of fluid flow and deformation induced by structures built above and under saturated ground, i.e. circular footing… read more here.

Keywords: circular footing; geotechnical engineering; alternating direction; saturated ground ... See more keywords