References
- Gabay D, Mercier B. A dual algorithm for the solution of nonlinear variational problems via finite-element approximations. Comput Math Appl. 1976;2:17–40.
- Gabay D. Applications of the method of multipliers to variational inequalities. In: Fortin M, Glowinski R, editors. Augmented Lagrange methods: applications to the solution of boundary-valued problems. Vol. 15, Studies in mathematics and its applications. Amsterdam: North-Holland; 1983. p. 299–331.
- Chen G, Teboulle M. A proximal-based decomposition method for convex minimization problems. Math Program. 1994;64:81–101.
- Eckstein J, Fukushima M. Some reformulation and applications of the alternating directions method of multipliers. In: Hager WW, Hearn DW, Pardalos PM, editors. Large scale optimization: state of the art. Kluwer Academic Publishers; 1994. p. 115–134.
- He BS, Liao LZ, Han DR, Yang H. A new inexact alternating directions method for monotone variational inequalities. Math Program. 2002;92:103–118.
- Jiang ZK, Bnouhachem A. A projection-based prediction-correction method for structured monotone variational inequalities. Appl Math Comput. 2008;202:747–759.
- Jiang ZK, Yuan XM. New parallel descent-like method for sloving a class of variational inequalities. J Optim Theory Appl. 2010;145:311–323.
- Tao M, Yuan XM. On the O(1/t) convergence rate of alternating direction method with logarithmic-quadratic proximal regularization. SIAM J Optim. 2012;22:1431–1448.
- Wang K, Xu LL, Han DR. A new parallel splitting descent method for structured variational inequalities. J Ind Manage Optim. 2014;10:461–476.
- Yuan XM, Li M. An LQP-based decomposition method for solving a class of variational inequalities. SIAM J Optim. 2011;21:1309–1318.
- Auslender A, Teboulle M, Ben-Tiba S. A logarithmic-quadratic proximal method for variational inequalities. Comput Optim Appl. 1999;12:31–40.
- Bnouhachem A. On LQP alternating direction method for solving variational. J Inequalities Appl. 2014;2014:1–15.
- Bnouhachem A, Xu MH. An inexact LQP alternating direction method for solving a class of structured variational inequalities. Comput Math Appl. 2014;67:671–680.
- Li M. A hybrid LQP-based method for structured variational inequalities. Int J Comput Math. 2012;89:1412–1425.
- Bnouhachem A, Benazza H, Khalfaoui M. An inexact alternating direction method for solving a class of structured variational inequalities. Appl Math Comput. 2013;219:7837–7846.
- Bnouhachem A, Ansari QH. A descent LQP alternating direction method for solving variational inequality problems with separable structure. Appl Math Comput. 2014;246:519–532.
- Bnouhachem A, Hamdi A. Parallel LQP alternating direction method for solving variational inequality problems with separable structure. J Inequalities Appl. 2014;2014:1–14.
- Facchinei F, Pang JS. Finite-dimensional variational inequalities and complementarity problems, vol. Vol. I and II, Springer series in operations research. New York: Springer; 2003.