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Other titles in the Nonconvex Optimization and Its Applications series:
From Local to Global Optimizationby Athanasios Migdalas
Synopses & Reviews
The book consists of research papers based on results presented at a conference held in Sweden to celebrate Hoang Tuy's achievements in Optimization. The collection is dedicated to Professor Tuy on the occasion of his 70th birthday. The papers appear in alphabetical order by first author and cover a wide range of recent results in Mathematical Programming. The work of Hoang Tuy, in particular in Global Optimization, has provided directions for new algorithmic developments in the field. Audience: Faculty, graduate students, and researchers in mathematical programming, computer science and engineering.
Book News Annotation:
Papers from an August 1997 conference held in Sweden explain recent results in mathematical programming, based on the work of Hoang Tuy, whose research in global optimization has provided directions for new algorithmic developments in the field. Specific subjects include convex global underestimation for molecular structure prediction, a finite branch-and-bound method for bilinear hydro power scheduling, modeling techniques for nonlinear pooling problems, and optimization and hierarchies for lumped distributed networks. Other topics are Tuy's 1964 cone splitting algorithm for concave minimization, minimizing sums of heterogeneous quadratic functions on Stiefel manifolds, and local and global behavior of moving polytope algorithms. This work lacks a subject index.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Table of Contents
Preface. An appreciation; Hoang Tuy. 1. Convex Global Underestimation for Molecular Structure Prediction; A.T. Phillips, J.B. Rosen, K.A. Dill. 2. Bayesian Heuristic Approach (BHA) and Applications to Discrete Optimization; J. Mockus. 3. A Finite Branch-and-Bound Method for Bilinear Hydro Power Scheduling; S. Feltenmark, P.O. Lindberg. 4. Two Examples of Global Optimization by Means of Local Techniques; A. Zilinskas. 5. Modelling techniques for nonlinear pooling problems; M. Rönnqvist. 6. Optimization and Hierarchies for Lumped Distributed Networks; A. Bui. 7. Hoang Tuy's 1964 Cone Splitting Algorithm for Concave Minimization; C. Meyer. 8. The alphaBB Global Optimization Algorithm for Nonconvex Problems: An Overview; C.S. Adjiman, C.A. Floudas. 9. Infimum of Polynomials and Singularity at Infinity; H.A.H. Vui. 10. Solving Global Optimization Problems with BARON; V. Ghildyal, N.V. Sahinidis. 11. D.C. Programming Approach to the Multidimensional Scaling Problem; L.T.H. An, P.D. Tao. 12. On Minimization of Sums of Heterogeneous Quadratic Functions on Stiefel Manifolds; T. Rapcsák. 13. A Nonlinear Lagrangian Function for Discrete Optimization Problems; X.Q. Yang, C.J. Goh. 14. Local and Global Behavior of Moving Polytope Algorithms; B.S. Hamma. 15. Relational Complementarity Problem; G. Isac, M.M. Kostreva, M. Polyashuk.
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