Lagrangian Relaxation
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[1] C. Lemaréchal,et al. THE U -LAGRANGIAN OF A CONVEX FUNCTION , 1996 .
[2] Torbjörn Larsson,et al. The Efficiency of Ballstep Subgradient Level Methods for Convex Optimization , 1999, Math. Oper. Res..
[3] D. Bertsekas. Projected Newton methods for optimization problems with simple constraints , 1981, CDC 1981.
[4] K. Kiwiel. Efficiency of Proximal Bundle Methods , 2000 .
[5] Ravindra K. Ahuja,et al. Network Flows: Theory, Algorithms, and Applications , 1993 .
[6] Defeng Sun,et al. Quasi-Newton Bundle-Type Methods for Nondifferentiable Convex Optimization , 1998, SIAM J. Optim..
[7] Robert Mifflin,et al. A quasi-second-order proximal bundle algorithm , 1996, Math. Program..
[8] Franz Rendl,et al. A Spectral Bundle Method for Semidefinite Programming , 1999, SIAM J. Optim..
[9] J. Percus,et al. Reduction of the N‐Particle Variational Problem , 1964 .
[10] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[11] Michael Patriksson,et al. Ergodic, primal convergence in dual subgradient schemes for convex programming , 1999, Mathematical programming.
[12] Yurii Nesterov,et al. New variants of bundle methods , 1995, Math. Program..
[13] Antonio Frangioni,et al. Solving semidefinite quadratic problems within nonsmooth optimization algorithms , 1996, Comput. Oper. Res..
[14] Farid Alizadeh,et al. Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization , 1995, SIAM J. Optim..
[15] K. Kiwiel. A Dual Method for Certain Positive Semidefinite Quadratic Programming Problems , 1989 .
[16] Boris N. Pshenichnyj. The Linearization Method for Constrained Optimization , 1994 .
[17] Naum Zuselevich Shor,et al. Minimization Methods for Non-Differentiable Functions , 1985, Springer Series in Computational Mathematics.
[18] Stephen J. Wright,et al. Numerical Optimization , 2018, Fundamental Statistical Inference.
[19] V. N. Solov'ev,et al. The subdifferential and the directional derivatives of the maximum of a family of convex functions , 1998 .
[20] K. Kiwiel. A Method for Solving Certain Quadratic Programming Problems Arising in Nonsmooth Optimization , 1986 .
[21] Jan Vlcek,et al. A bundle-Newton method for nonsmooth unconstrained minimization , 1998, Math. Program..
[22] Claude Lemaréchal,et al. Variable metric bundle methods: From conceptual to implementable forms , 1997, Math. Program..
[23] Yurii Nesterov,et al. Complexity estimates of some cutting plane methods based on the analytic barrier , 1995, Math. Program..
[24] Stephen J. Wright. Primal-Dual Interior-Point Methods , 1997, Other Titles in Applied Mathematics.
[25] A. A. Goldstein,et al. Newton's method for convex programming and Tchebycheff approximation , 1959, Numerische Mathematik.
[26] J. Zowe,et al. Some remarks on the construction of higher order algorithms in convex optimization , 1983 .
[27] C. Lemaréchal,et al. Bundle methods applied to the unit-commitment problem , 1996 .
[28] Robert Mifflin,et al. On VU-theory for Functions with Primal-Dual Gradient Structure , 2000, SIAM J. Optim..
[29] R. E. Marsten,et al. The Boxstep Method for Large-Scale Optimization , 2011, Oper. Res..
[30] R. Fletcher. Practical Methods of Optimization , 1988 .
[31] G. Nemhauser,et al. Integer Programming , 2020 .
[32] P. Wolfe. Note on a method of conjugate subgradients for minimizing nondifferentiable functions , 1974 .
[33] Claude Lemaréchal,et al. Dual Methods in Entropy Maximization. Application to Some Problems in Crystallography , 1992, SIAM J. Optim..
[34] M. Wagner,et al. Generalized Linear Programming Solves the Dual , 1976 .
[35] François Oustry,et al. A second-order bundle method to minimize the maximum eigenvalue function , 2000, Math. Program..
[36] Krzysztof C. Kiwiel,et al. Proximity control in bundle methods for convex nondifferentiable minimization , 1990, Math. Program..
[37] J. Goffin,et al. Decomposition and nondifferentiable optimization with the projective algorithm , 1992 .
[38] J. Hiriart-Urruty,et al. Convex analysis and minimization algorithms , 1993 .
[39] C. Reeves. Modern heuristic techniques for combinatorial problems , 1993 .
[40] H. Uzawa,et al. Preference, production, and capital: Iterative methods for concave programming , 1989 .
[41] G. Sonnevend. An "analytical centre" for polyhedrons and new classes of global algorithms for linear (smooth, convex) programming , 1986 .
[42] Franz Rendl,et al. A recipe for semidefinite relaxation for (0,1)-quadratic programming , 1995, J. Glob. Optim..
[43] Stefan Feltenmark,et al. Dual Applications of Proximal Bundle Methods, Including Lagrangian Relaxation of Nonconvex Problems , 1999, SIAM J. Optim..
[44] N. Z. Shor,et al. A minimization method using the operation of extension of the space in the direction of the difference of two successive gradients , 1971 .
[45] Stephen P. Boyd,et al. Semidefinite Programming , 1996, SIAM Rev..
[46] K. Kiwiel. Methods of Descent for Nondifferentiable Optimization , 1985 .
[47] C. Lemaréchal,et al. Semidefinite Relaxations and Lagrangian Duality with Application to Combinatorial Optimization , 1999 .
[48] David P. Williamson,et al. Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming , 1995, JACM.
[49] Michael J. Best,et al. Equivalence of some quadratic programming algorithms , 1984, Math. Program..
[50] Richard M. Karp,et al. The traveling-salesman problem and minimum spanning trees: Part II , 1971, Math. Program..
[51] Yu. M. Ermol’ev. Methods of solution of nonlinear extremal problems , 1966 .
[52] Yurii Nesterov,et al. Interior-point polynomial algorithms in convex programming , 1994, Siam studies in applied mathematics.
[53] J. E. Falk. Lagrange Multipliers and Nonconvex Programs , 1969 .
[54] P. Camerini,et al. On improving relaxation methods by modified gradient techniques , 1975 .
[55] Masao Fukushima,et al. A Globally and Superlinearly Convergent Algorithm for Nonsmooth Convex Minimization , 1996, SIAM J. Optim..
[56] C. Lemaréchal,et al. The eclipsing concept to approximate a multi-valued mapping , 1991 .
[57] T. Terlaky. On lp programming , 1985 .
[58] Claude Lemaréchal,et al. Convergence of some algorithms for convex minimization , 1993, Math. Program..
[59] Donald M. Topkis. Letter to the Editor - A Note on Cutting-Plane Methods Without Nested Constraint Sets , 1970, Oper. Res..
[60] N. Z. Shor,et al. Method of obtaining estimates in quadratic extremal problems with Boolean variables , 1985 .
[61] László Lovász,et al. On the Shannon capacity of a graph , 1979, IEEE Trans. Inf. Theory.
[62] Claude Lemaréchal,et al. A geometric study of duality gaps, with applications , 2001, Math. Program..
[63] I. Ekeland,et al. Convex analysis and variational problems , 1976 .
[64] J. E. Kelley,et al. The Cutting-Plane Method for Solving Convex Programs , 1960 .
[65] D. Luenberger. Optimization by Vector Space Methods , 1968 .
[66] N. Z. Shor. Utilization of the operation of space dilatation in the minimization of convex functions , 1972 .
[67] Harvey J. Everett. Generalized Lagrange Multiplier Method for Solving Problems of Optimum Allocation of Resources , 1963 .
[68] C. Lemaréchal,et al. Nonsmooth Algorithms to Solve Semidefinite Programs , 1999 .