An inexact generalized PRSM with LQP regularization for structured variational inequalities and its applications to traffic equilibrium problems

DOI10.1186/s13660-016-1095-zzbMath1338.90308OpenAlexW2415526902WikidataQ59467119 ScholiaQ59467119MaRDI QIDQ295005

Jing Liu, Min Sun

Publication date: 17 June 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1095-z

zbMATH Keywords

structured variational inequalitiesPeaceman-Rachford splitting methodtraffic equilibrium problems

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30)

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Proximal ADMM with larger step size for two-block separable convex programming and its application to the correlation matrices calibrating problems ⋮ The convergence rate of the proximal alternating direction method of multipliers with indefinite proximal regularization

Cites Work

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• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• Approximate iterations in Bregman-function-based proximal algorithms
• A new inexact alternating directions method for monotone variational inequalities
• The primal Douglas-Rachford splitting algorithm for a class of monotone mappings with application to the traffic equilibrium problem
• Projected dynamical systems and variational inequalities with applications
• An interior-proximal method for convex linearly constrained problems and its extension to variational inequalities
• Convergence analysis of the generalized alternating direction method of multipliers with logarithmic-quadratic proximal regularization
• On the global and linear convergence of the generalized alternating direction method of multipliers
• Inexact alternating direction methods of multipliers with logarithmic-quadratic proximal regularization
• A Strictly Contractive Peaceman--Rachford Splitting Method for Convex Programming
• An LQP-Based Decomposition Method for Solving a Class of Variational Inequalities
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• A Strictly Contractive Peaceman-Rachford Splitting Method with Logarithmic-Quadratic Proximal Regularization for Convex Programming
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Projection methods for variational inequalities with application to the traffic assignment problem
• Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
• Modified Lagrangians in convex programming and their generalizations
• An Introduction to Variational Inequalities and Their Applications
• A hybrid LQP-based method for structured variational inequalities
• On Preconditioning of Incompressible Non-Newtonian Flow Problems