Separation of Nonconvex Sets with General Augmenting Functions
Published Online:4 Aug 2008https://doi.org/10.1287/moor.1070.0296
References
- Asymptotic Cones and Functions in Optimization and Variational Inequalities (2003) (Springer-Verlag, New York) Google Scholar
- Asymptotic analysis for penalty and barrier methods in convex and linear programming. Math. Oper. Res. (1997) 22:43–62Link, Google Scholar
- Penalty/barrier multiplier methods: A new class of augmented Lagrangian algorithms for large-scale convex prorgramming problems. (1993) . Technical Report 4/93, Optimization Laboratory, Faculty of Industrial Engineering and Management, Technion-Israel Institute of Technology, Haifa, IsraelGoogle Scholar
- Min common/max crossing duality: A simple geometric framework for convex optimization and minimax theory. (2002) . Technical Report LIDS-P-2536, Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MAGoogle Scholar
- Convex Analysis and Optimization (2003) (Athena Scientific, Belmont, MA) Google Scholar
- Convex Analysis and Nonlinear Optimization (2000) (Springer-Verlag, New York) Crossref, Google Scholar
- Convex Analysis and Minimization Algorithms (1993) I and II(Springer-Verlag, Berlin/New York) Crossref, Google Scholar
- A unified augmented Lagrangian approach to duality and exact penalization. Math. Oper. Res. (2003) 28:533–552Link, Google Scholar
- Linear and Nonlinear Programming (2004) 2nd ed.(Kluwer Academic Publishers, Norwell, MA) Google Scholar
- A geometric framework for nonconvex optimization duality using augmented Lagrangian functions. J. Global Optim. (2008) 40(4):545–573Crossref, Google Scholar
- Introduction to Optimization (1987) (Optimization Software Inc., New York) Google Scholar
- Modified barrier functions: Theory and methods. Math. Programming (1992) 54:177–222Crossref, Google Scholar
- Convex Analysis (1970) (Princeton University Press, Princeton, NJ) Crossref, Google Scholar
- Variational Analysis (1998) (Springer-Verlag, New York) Crossref, Google Scholar
- Lagrange-Type Functions in Constrained Nonconvex Optimization (2003) (Kluwer Academic Publishers, Norwell, MA) Crossref, Google Scholar
- The zero duality gap property and lower semicontinuity of the perturbation function. Math. Oper. Res. (2002) 27:775–791Link, Google Scholar
- On the convergence of the exponential multiplier method for convex programming. Math. Programming (1993) 60:1–19Crossref, Google Scholar

