A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems
From MaRDI portal
Publication:1031700
DOI10.1016/j.camwa.2007.03.015zbMath1179.49033OpenAlexW2057813899MaRDI QIDQ1031700
Publication date: 30 October 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2007.03.015
decomposition methodsentropic/interior proximal methodsvariational inequality problemsrelative error criterionself-adaptive strategy
Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Decomposition methods (49M27)
Related Items
The developments of proximal point algorithms ⋮ A partial parallel splitting augmented Lagrangian method for solving constrained matrix optimization problems ⋮ A new decomposition method for variational inequalities with linear constraints ⋮ An LQP-based two-step method for structured variational inequalities ⋮ A proximal point algorithm with asymmetric linear term ⋮ An LQP-based symmetric alternating direction method of multipliers with larger step sizes ⋮ A new implementable prediction-correction method for monotone variational inequalities with separable structure ⋮ The indefinite proximal point algorithms for maximal monotone operators ⋮ A class of nonlinear proximal point algorithms for variational inequality problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on a globally convergent Newton method for solving monotone variational inequalities
- Application of the alternating direction method of multipliers to separable convex programming problems
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Approximate iterations in Bregman-function-based proximal algorithms
- A logarithmic-quadratic proximal method for variational inequalities
- A proximal-based deomposition method for compositions method for convex minimization problems
- Enlargement of monotone operators with applications to variational inequalities
- Self-adaptive operator splitting methods for monotone variational inequalities
- A new hybrid generalized proximal point algorithm for variational inequality problems
- A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator
- Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities
- A new inexact alternating directions method for monotone variational inequalities
- Smooth methods of multipliers for complementarity problems
- Inexact implicit methods for monotone general variational inequalities
- Network economics: a variational inequality approach
- A globally convergent Newton method for solving strongly monotone variational inequalities
- An Inexact Hybrid Generalized Proximal Point Algorithm and Some New Results on the Theory of Bregman Functions
- Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- On the Goldstein-Levitin-Polyak gradient projection method
- Monotone Operators and the Proximal Point Algorithm
- Computing stationary points
- Alternating Projection-Proximal Methods for Convex Programming and Variational Inequalities
- Convergence of Proximal-Like Algorithms
- Proximal Minimization Methods with Generalized Bregman Functions
- A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space
- Interior Proximal and Multiplier Methods Based on Second Order Homogeneous Kernels
- On the basic theorem of complementarity
- Entropic proximal decomposition methods for convex programs and variational inequalities
- Inexact implicit method with variable parameter for mixed monotone variational inequalities
- Modified Goldstein--Levitin--Polyak projection method for asymmetric strongly monotone variational inequalities
