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A Note on the Alternating Direction Method of Multipliers

Journal of optimization theory and applications, 2012-10, Vol.155 (1), p.227-238

2012

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LOCAL LINEAR CONVERGENCE OF THE ALTERNATING DIRECTION METHOD OF MULTIPLIERS FOR QUADRATIC PROGRAMS

SIAM journal on numerical analysis, 2013-01, Vol.51 (6), p.3446-3457

2013

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Approximate first-order primal-dual algorithms for saddle point problems

Mathematics of computation, 2021-05, Vol.90 (329), p.1227-1262

2021

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Local Linear Convergence of the Alternating Direction Method of Multipliers for Nonconvex Separable Optimization Problems

Journal of optimization theory and applications, 2021, Vol.188 (1), p.1-25

2021

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A Gauss–Seidel type inertial proximal alternating linearized minimization for a class of nonconvex optimization problems

Journal of global optimization, 2020-04, Vol.76 (4), p.863-887

2020

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Optimal parameter of the SOR-like iteration method for solving absolute value equations

Numerical algorithms, 2024-06, Vol.96 (2), p.799-826

2024

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A modified fixed point iteration method for solving the system of absolute value equations

Optimization, 2022-03, Vol.71 (3), p.449-461

2022

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An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing

Mathematics of computation, 2014-09, Vol.83 (289), p.2263-2291

2014

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Positive Semidefinite Generalized Diffusion Tensor Imaging via Quadratic Semidefinite Programming

SIAM journal on imaging sciences, 2013-01, Vol.6 (3), p.1531-1552

2013

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New ALS Methods With Extrapolating Search Directions and Optimal Step Size for Complex-Valued Tensor Decompositions

IEEE transactions on signal processing, 2011-12, Vol.59 (12), p.5888-5898

2011

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CONVERGENCE ANALYSIS OF DOUGLAS-RACHFORD SPLITTING METHOD FOR "STRONGLY + WEAKLY" CONVEX PROGRAMMING

SIAM journal on numerical analysis, 2017-01, Vol.55 (4), p.1549-1577

2017

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On finite termination of the generalized Newton method for solving absolute value equations

Computational & applied mathematics, 2023-06, Vol.42 (4), Article 187

2023

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On the coerciveness of some merit functions for complementarity problems over symmetric cones

Journal of mathematical analysis and applications, 2007-12, Vol.336 (1), p.727-737

Han, Deren

2007

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A new relaxed acceleration two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems

AIMS mathematics, 2023-01, Vol.8 (6), p.13368-13389

2023

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A self-adaptive projection method for solving the multiple-sets split feasibility problem

Inverse problems, 2009-11, Vol.25 (11), p.115001-115001 (16)

2009

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A sequential updating scheme of the Lagrange multiplier for separable convex programming

Mathematics of computation, 2017-01, Vol.86 (303), p.315-343

2017

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A generalized proximal-point-based prediction–correction method for variational inequality problems

Journal of computational and applied mathematics, 2008-11, Vol.221 (1), p.183-193

Han, Deren

2008

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Solving linear variational inequality problems by a self-adaptive projection method

Applied mathematics and computation, 2006-11, Vol.182 (2), p.1765-1771

Han, Deren

2006

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Multi-step inertial strictly contractive PRSM algorithms for convex programming problems with applications

Journal of computational and applied mathematics, 2024-02, Vol.437, p.115469, Article 115469

2024

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Conditions for Strong Ellipticity of Anisotropic Elastic Materials

Journal of elasticity, 2009-10, Vol.97 (1), p.1-13

2009

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Competition and efficiency of private toll roads

Transportation research. Part B: methodological, 2007-03, Vol.41 (3), p.292-308

2007

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A generalized inertial proximal alternating linearized minimization method for nonconvex nonsmooth problems

Applied numerical mathematics, 2023-07, Vol.189, p.66-87

2023

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An improved two-step method for solving generalized Nash equilibrium problems

European journal of operational research, 2012-02, Vol.216 (3), p.613-623

2012

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The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing

Transportation research. Part E, Logistics and transportation review, 2008-09, Vol.44 (5), p.753-773

2008

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Stochastic Gauss–Seidel type inertial proximal alternating linearized minimization and its application to proximal neural networks

Mathematical methods of operations research (Heidelberg, Germany), 2024-04, Vol.99 (1-2), p.39-74

2024

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A Note on the Alternating Direction Method of Multipliers

LOCAL LINEAR CONVERGENCE OF THE ALTERNATING DIRECTION METHOD OF MULTIPLIERS FOR QUADRATIC PROGRAMS

Approximate first-order primal-dual algorithms for saddle point problems

Local Linear Convergence of the Alternating Direction Method of Multipliers for Nonconvex Separable Optimization Problems

A Gauss–Seidel type inertial proximal alternating linearized minimization for a class of nonconvex optimization problems

Optimal parameter of the SOR-like iteration method for solving absolute value equations

A modified fixed point iteration method for solving the system of absolute value equations

An augmented Lagrangian based parallel splitting method for separable convex minimization with applications to image processing

Positive Semidefinite Generalized Diffusion Tensor Imaging via Quadratic Semidefinite Programming

New ALS Methods With Extrapolating Search Directions and Optimal Step Size for Complex-Valued Tensor Decompositions

CONVERGENCE ANALYSIS OF DOUGLAS-RACHFORD SPLITTING METHOD FOR "STRONGLY + WEAKLY" CONVEX PROGRAMMING

On finite termination of the generalized Newton method for solving absolute value equations

On the coerciveness of some merit functions for complementarity problems over symmetric cones

A new relaxed acceleration two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems

A self-adaptive projection method for solving the multiple-sets split feasibility problem

A sequential updating scheme of the Lagrange multiplier for separable convex programming

A generalized proximal-point-based prediction–correction method for variational inequality problems

Solving linear variational inequality problems by a self-adaptive projection method

Multi-step inertial strictly contractive PRSM algorithms for convex programming problems with applications

Conditions for Strong Ellipticity of Anisotropic Elastic Materials

Competition and efficiency of private toll roads

A generalized inertial proximal alternating linearized minimization method for nonconvex nonsmooth problems

An improved two-step method for solving generalized Nash equilibrium problems

The multi-class, multi-criterion traffic equilibrium and the efficiency of congestion pricing

Stochastic Gauss–Seidel type inertial proximal alternating linearized minimization and its application to proximal neural networks

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