| Kluwer Academic Publishers |
| Nonconvex Optimization and Its Applications |
| Volume 37, 760 pp. |
| ISBN 0-7923-6014-1 (Hardbound) |
| Kluwer web site for this book |
This book provides a unified and insightful treatment
of deterministic global optimization. It introduces
theoretical and algorithmic advances that
address the computation and
characterization of global optima,
determine valid lower and upper bounds on the global minima and maxima,
and enclose all solutions of nonlinear
constrained systems of equations.
Among its special features, the book :
Audience
This book can be used as a textbook in graduate level courses and as a desk reference for researchers in all branches of engineering and applied science, applied mathematics, industrial engineering, operations research, computer science, economics, computational chemistry and molecular biology.
Chapter 1 : Introduction
Chapter 2 : Basic Concepts of Global Optimization
Part I - Biconvex and Bilinear Problems
Chapter 3 : The GOP Primal Relaxed Dual Decomposition Approach: Theory
Chapter 4 : The GOP Approach : Implementation and Computational Studies
Chapter 5 : The GOP Approach in Bilevel Linear and Quadratic problems
Chapter 6 : The GOP Approach in Phase and Chemical Equilibrium
Chapter 7 : The GOP Approach - Distributed Implementation
Part II - Signomial Problems
Chapter 8 : Generalized Geometric Programming : Theory
Chapter 9 : Generalized Geometric Programming : Computational Studies
Part III - Towards Twice Differentiable NLPs
Chapter 10 : From Biconvex to General Twice Differentiable NLPs
Chapter 11 : The aBB for Box-Constrained NLPs
Chapter 12 : The aBB for General Constrained NLPs : Theory
Chapter 13 : Computational Studies of the aBB Approach
Chapter 14 : Global Optimization in Microclusters
Chapter 15 : The aBB Approach in Molecular Structure Prediction
Chapter 16 : The aBB Approach in Protein Folding
Chapter 17 : The aBB Approach in Peptide Docking
Chapter 18 : The aBB Approach in Batch Design under Uncertainty
Chapter 19 : The aBB Approach in Parameter Estimation
Part IV - Nonlinear and Mixed Integer Optimization
Chapter 20 : Introduction
Chapter 21 : The SMIN-aBB Approach : Theory and Computations
Chapter 22 : The GMIN-aBB Approach : Theory and Computations
Part V - Nonlinear Constrained Systems of Equations
Chapter 23 : All Solutions of Nonlinear Constrained Systems of Equations
Chapter 24 : Locating All Homogeneous Azeotropes
