Convergence Results on Proximal Method of Multipliers in Nonconvex Programming
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[1] R. Fletcher. Practical Methods of Optimization , 1988 .
[2] R. Rockafellar. Augmented Lagrange Multiplier Functions and Duality in Nonconvex Programming , 1974 .
[3] John M. Mulvey,et al. A New Scenario Decomposition Method for Large-Scale Stochastic Optimization , 1995, Oper. Res..
[4] M. Hestenes. Multiplier and gradient methods , 1969 .
[5] Le Thi Hoai An,et al. A D.C. Optimization Algorithm for Solving the Trust-Region Subproblem , 1998, SIAM J. Optim..
[6] Reiner Horst,et al. A new algorithm for solving the general quadratic programming problem , 1993, Comput. Optim. Appl..
[7] J. Dussault,et al. A New Decomposition Method in Nonconvex Programming Via a Separable Augmented Lagrangian , 1997 .
[8] N. Watanabe,et al. Decomposition in large system optimization using the method of multipliers , 1978 .
[9] R. Rockafellar. The multiplier method of Hestenes and Powell applied to convex programming , 1973 .
[10] B. Lemaire. About the Convergence of the Proximal Method , 1992 .
[11] F. Luque. Asymptotic convergence analysis of the proximal point algorithm , 1984 .
[12] Jonathan Eckstein. Parallel alternating direction multiplier decomposition of convex programs , 1994 .
[13] R. Tyrrell Rockafellar,et al. Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming , 1976, Math. Oper. Res..
[14] Dimitri P. Bertsekas,et al. Multiplier methods: A survey , 1975, at - Automatisierungstechnik.
[15] Dimitri P. Bertsekas,et al. Constrained Optimization and Lagrange Multiplier Methods , 1982 .
[16] H. Mukai,et al. A New Technique for Nonconvex Primal-Dual Decomposition of a Large-Scale Separable Optimization Problem , 1983, 1983 American Control Conference.
[17] J. Spingarn. Submonotone mappings and the proximal point algorithm , 1982 .
[18] Jonathan E. Spingarn,et al. Applications of the method of partial inverses to convex programming: Decomposition , 1985, Math. Program..
[19] Alexander Kaplan,et al. Proximal Point Methods and Nonconvex Optimization , 1998, J. Glob. Optim..
[20] Andrzej Ruszczynski,et al. On Convergence of an Augmented Lagrangian Decomposition Method for Sparse Convex Optimization , 1995, Math. Oper. Res..
[21] M. J. D. Powell,et al. A method for nonlinear constraints in minimization problems , 1969 .
[22] R. Glowinski,et al. Augmented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics , 1987 .
[23] D. Bertsekas. The Method of Multipliers for Inequality Constrained and Nondifferentiable Optimization Problems , 1982 .
[24] Bernard Martinet,et al. Algorithmes pour la résolution de problèmes d'optimisation et de minimax , 1972 .
[25] G. Stephanopoulos,et al. The use of Hestenes' method of multipliers to resolve dual gaps in engineering system optimization , 1975 .
[26] W. Gander,et al. A D.C. OPTIMIZATION ALGORITHM FOR SOLVING THE TRUST-REGION SUBPROBLEM∗ , 1998 .
[27] Stephen J. Wright. Implementing proximal point methods for linear programming , 1990 .
[28] Lamberto Cesari,et al. Optimization-Theory And Applications , 1983 .
[29] Masao Fukushima,et al. PARTIAL PROXIMAL METHOD OF MULTIPLIERS FOR CONVEX PROGRAMMING PROBLEMS , 1996 .
[30] Werner Oettli,et al. An algorithm for indefinite quadratic programming with convex constraints , 1991, Oper. Res. Lett..
[31] Shin-Yeu Lin. Complete decomposition algorithm for nonconvex separable optimization problems and applications , 1992, Autom..
[32] M. Fukushima,et al. A minimization method for the sum of a convex function and a continuously differentiable function , 1981 .
[33] Piotr Tatjewski,et al. Two-level primal-dual decomposition technique for large-scale nonconvex optimization problems with constraints , 1990 .
[34] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .
[35] D. Bertsekas. Convexification procedures and decomposition methods for nonconvex optimization problems , 1979 .
[36] Jonathan Eckstein,et al. Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming , 1993, Math. Oper. Res..