References
- Bai JC, Li JC, Xu FM, et al. Generalized symmetric ADMM for separable convex optimization. Comput Optim Appl. 2018;70:129–170. doi: 10.1007/s10589-017-9971-0
- He BS, Yuan XM. Block-wise alternating direction method of multipliers for multiple-block convex programming and beyond. SMAI J Comput Math. 2015;1:145–174. doi: 10.5802/smai-jcm.6
- He BS, Ma F, Yuan XM. Convergence study on the symmetric version of ADMM with larger step sizes. SIAM J Imaging Sci. 2016;9:1467–1501. doi: 10.1137/15M1044448
- Glowinski R, Marrocco A. Approximation paréléments finis d'rdre un et résolution, par pénalisation-dualité d'une classe de problèmes de Dirichlet non linéaires. Rev Fr Autom Inf Rech Opér Anal Numér. 1975;2:41–76.
- Eckstein J. Some saddle-function splitting methods for convex programming. Optim Methods Softw. 1994;4:75–83. doi: 10.1080/10556789408805578
- Xu MH, Wu T. A class of linearized proximal alternating direction methods. J Optim Theory Appl. 2011;151:321–337. doi: 10.1007/s10957-011-9876-5
- Fazel M, Pong TK, Sun DF, et al. Hankel matrix rank minimization with applications to system identification and realization. SIAM J Matrix Anal Appl. 2013;34:946–977. doi: 10.1137/110853996
- He BS, Xu HK, Yuan XM. On the proximal Jacobian decomposition of ALM for multiple-block separable convexminimization problems and its relationship to ADMM. J Sci Comput. 2016;66:1204–1217. doi: 10.1007/s10915-015-0060-1
- Sun M, Sun HC. Improved proximal ADMM with partially parallel splitting for multi-block separable convex programming. J Appl Math Comput. 2018;58:151–181. doi: 10.1007/s12190-017-1138-8
- Gao B, Ma F. Symmetric alternating direction method with indefinite proximal regularization for linearly constrained convex optimization. J Optim Theory Appl. 2018;176:178–204. doi: 10.1007/s10957-017-1207-z
- Sun HC, Tian MY, Sun M. The symmetric ADMM with indefinite proximal regularization and its application. J Inequal Appl. 2017;2017:172. doi: 10.1186/s13660-017-1447-3
- Facchinei F, Pang JS. Finite-dimensional variational inequalities and complementarity problems. Berlin: Springer-Verlag; 2003.
- Robinson SM. Some continuity properties of polyhedral multifunctions. Math Program Stud. 1981;14:206–241. doi: 10.1007/BFb0120929