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## Details

Additional Physical Format: | Printed edition: |
---|---|

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Nicolas Hadjisavvas; Panos M Pardalos |

ISBN: | 9781461302797 146130279X 9780792369424 0792369424 |

OCLC Number: | 913436933 |

Description: | 1 online resource (XXIV, 597 pages) : online resource. |

Contents: | 1. Inner Approximation of State-constrained Optimal Control Problems -- 2. Nonsmooth Problems in Mathematical Diagnostics -- 3. Deterministic Global Optimization for Protein Structure Prediction -- 4. Some Remarks on Minimum Principles -- 5. Transversal Hypergraphs and Families of Polyhedral Cones -- 6. SDP Relaxations in Combinatorial Optimization from a Lagrangian Viewpoint -- 7. Convex Analysis in the Calculus of Variations -- 8. Global Minimization and Parameter Estimation in Computational Biology -- 9. Lagrangian Quadratic Bounds in Polynomial Nonconvex and Boolean Models with Superfluous Constraints -- 10. Generalized Duality in Variational Analysis -- 11. Clustering via D.C. Optimization -- 12. Algorithms and Merit Functions for the Principal Eigen-value -- 13. Modified Versions of the Cutting Angle Method -- 14. Theoretical and Computational Results for a Linear Bilevel Problem -- 15. The Lagrangian Search Method -- 16. An?-maximum Principle for Generalized Control Systems -- 17. D.C. Optimization Approaches via Markov Models for Restoration of Signal (1-D) and (2-D) -- 18. New Positive Semidefinite Relaxations for Nonconvex Quadratic Programs -- 19. Interval Analysis Applied to Global Minimization -- 20. Approximate Analytic Center Quadratic Cut Method for Strongly Monotone Variational Inequalities -- 21. Generating Convex Functions -- 22. The Method of Moments for Nonconvex Variational Problems -- 23. A Pivoting-based Heuristic for the Maximum Clique Problem -- 24. An Analytic Center Self Concordant Cut Method for the Convex Feasibility Problem -- 25. Strengthened Semidefinite Programming Relaxations for the Max-Cut Problem -- 26. Supervised Training Using Global Search Methods -- 27. Learning Rate Adaptation in Stochastic Gradient Descent -- 28. Improving the Particle Swarm Optimizer by Function 'Stretching' -- 29. Some Convergence Properties of the Steepest Descent Algorithm Revealed by Renormalisation -- 30. Interior-Point Algorithm for Dantzig and Wolfe Decomposition Principle -- 31. Stochastic Perturbation Methods for Affine Restrictions -- 32. Directed Derivatives of Convex Compact-Valued Mappings -- 33. A Perturbed Auxiliary Problem Method for Paramonotone Multivalued Mappings -- 34. A Note on Random Variational Inequalities and Simple Random Unilateral Boundary Value Problems -- 35. A Comparison Principle and the Lipschitz Continuity for Minimizers -- 36. Tunneling and Genetic Algorithms for Global Optimization -- 37. Convexity and Monotonicity in Global Optimization. |

Series Title: | Nonconvex optimization and its applications, 54. |

Responsibility: | edited by Nicolas Hadjisavvas, Panos M. Pardalos. |

### Abstract:

There has been much recent progress in global optimization algo- rithms for nonconvex continuous and discrete problems from both a theoretical and a practical perspective.
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