Deterministic Global Optimization

1. Introduction.- 2. Basic Concepts of Global Optimization.- I Biconvex and Bilinear Problems.- 3. The GOP Primal — Relaxed Dual Decomposition Approach: Theory.- 4. The GOP Approach: Implementation and Computational Studies.- 5. The GOP Approach in Bilevel Linear and Quadratic Problems.- 6. The GOP Approach in Phase and Chemical Equilibrium Problems.- 7. The GOP Approach: Distributed Implementation.- II Signomial Problems.- 8. Generalized Geometric Programming: Theory.- 9. Generalized Geometric Programming: Computational Studies.- III Towards General Twice Differentiable NLPs.- 10. From Biconvex to General Twice Differentiable NLPs.- 11. The ?BB for Box Constrained Twice-Differentiable NLPs: Theory.- 12. The ?BB for Constrained Twice -Differentiable NLPs: Theory.- 13. Computational Studies of the ?BB Approach.- 14. Global Optimization in Microclusters.- 15. The ?BB Approach in Molecular Structure Prediction.- 16. The ?BB Approach in Protein Folding.- 17. The ?BB Approach in Peptide Docking.- 18. The ?BB Approach in Batch Design under Uncertainty.- 19. The ?BB Approach in Parameter Estimation.- IV Nonlinear and Mixed-Integer Optimization.- 20. Introduction to Nonlinear and Mixed-Integer Optimization.- 21. The SMIN-?BB Approach: Theory and Computations.- 22. The GMIN-?BB Approach: Theory and Computations.- V Nonlinear Constrained Systems of Equations.- 23. All Solutions of Nonlinear Constrained Systems of Equations.- 24. Locating All Homogeneous Azeotropes.- References.