New descent LQP alternating direction methods for solving a class of structured variational inequalities
DOI10.1186/s13663-015-0387-1zbMath1343.49047OpenAlexW2152534474WikidataQ59434594 ScholiaQ59434594MaRDI QIDQ288023
Abdellah Bnouhachem, Suliman Al-Homidan, Qamrul Hasan Ansari
Publication date: 24 May 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-015-0387-1
projection methodalternating direction methodlogarithmic-quadratic proximal methodstructured variational inequalities
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
- A descent LQP alternating direction method for solving variational inequality problems with separable structure
- An inexact LQP alternating direction method for solving a class of structured variational inequalities
- A new parallel splitting descent method for structured variational inequalities
- A projection-based prediction-correction method for structured monotone variational inequalities
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- A variable-penalty alternating directions method for convex optimization
- A logarithmic-quadratic proximal method for variational inequalities
- A proximal-based deomposition method for compositions method for convex minimization problems
- Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities
- A new inexact alternating directions method for monotone variational inequalities
- A modified alternating direction method for convex minimization problems
- An inexact alternating direction method for solving a class of structured variational inequalities
- Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing
- An LQP-Based Decomposition Method for Solving a Class of Variational Inequalities
- A hybrid LQP-based method for structured variational inequalities
- On the $O(1/t)$ Convergence Rate of Alternating Direction Method with Logarithmic-Quadratic Proximal Regularization