The improvement with relative errors of He et al.'s inexact alternating direction method for monotone variational inequalities
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Publication:815484
DOI10.1016/j.mcm.2005.04.007zbMath1081.49010OpenAlexW2020073708MaRDI QIDQ815484
Publication date: 16 February 2006
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2005.04.007
relative erroralternating direction methodmonotone variational inequalitiesproximal point methodinexact criterion
Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
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Cites Work
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- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Application of the alternating direction method of multipliers to separable convex programming problems
- A variable-penalty alternating directions method for convex optimization
- A proximal-based deomposition method for compositions method for convex minimization problems
- A new inexact alternating directions method for monotone variational inequalities
- Network economics: a variational inequality approach
- A class of projection and contraction methods for monotone variational inequalities
- A globally convergent Newton method for solving strongly monotone variational inequalities
- Projection methods for variational inequalities with application to the traffic assignment problem
- Monotone Operators and the Proximal Point Algorithm
- Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
- Engineering and Economic Applications of Complementarity Problems
- Numerical Solution of Problems in Incompressible Finite Elasticity by Augmented Lagrangian Methods. I. Two-Dimensional and Axisymmetric Problems
- Transportation Network Policy Modeling with Goal Targets and Generalized Penalty Functions
- On the basic theorem of complementarity
- A new accuracy criterion for approximate proximal point algorithms
- Modified Goldstein--Levitin--Polyak projection method for asymmetric strongly monotone variational inequalities
