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Advances in Convex Analysis and Global Optimization

Honoring the Memory of C. Caratheodory (1873–1950)

  • Book
  • © 2001

Overview

Editors:
  1. Nicolas Hadjisavvas

    1. University of the Aegean, Greece

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    You can also search for this editor in PubMed   Google Scholar

  2. Panos M. Pardalos

    1. University of Florida, USA

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Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 54)

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Table of contents (37 chapters)

  1. Front Matter

    Pages i-xxiv
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  2. Inner Approximation of State-Constrained Optimal Control Problems

    • F. H. Clarke, R. J. Stern
    Pages 1-9

  3. Nonsmooth Problems in Mathematical Diagnostics

    • V. F. Demyanov, A. Astorino, M. Gaudioso
    Pages 11-30

  4. Deterministic Global Optimization for Protein Structure Prediction

    • John L. Klepeis, Christodoulos A. Floudas
    Pages 31-73

  5. Some Remarks on Minimum Principles

    • Franco Giannessi
    Pages 75-103

  6. Transversal Hypergraphs and Families of Polyhedral Cones

    • Leonid Khachiyan
    Pages 105-118

  7. SDP Relaxations in Combinatorial Optimization from a Lagrangian Viewpoint

    • Claude Lemaréchal, François Oustry
    Pages 119-134

  8. Convex Analysis in the Calculus of Variations

    • R. T. Rockafellar
    Pages 135-151

  9. Global Minimization and Parameter Estimation in Computational Biology

    • J. B. Rosen, A. T. Phillips, S. Y. Oh, K. A. Dill
    Pages 153-180

  10. Lagrangian Quadratic Bounds in Polynomial Nonconvex and Boolean Models with Superfluous Constraints

    • N. Z. Shor
    Pages 181-204

  11. Generalized Duality in Variational Analysis

    • Stephen M. Robinson
    Pages 205-219

  12. Clustering via D. C. Optimization

    • Hoang Thy, A. M. Bagirov, A. M. Rubinov
    Pages 221-234

  13. Algorithms and Merit Functions for the Principal Eigenvalue

    • Giles Auchmuty
    Pages 235-244

  14. Modified Versions of the Cutting Angle Method

    • A. M. Bagirov, A. M. Rubinov
    Pages 245-268

  15. Theoretical and Computational Results for a Linear Bilevel Problem

    • Manoel Campêlo, Susana Scheimberg
    Pages 269-281

  16. The Lagrangian Search Method

    • Pavlos S. Efraimidis, Paul G. Spirakis
    Pages 283-294

  17. An ε-Maximum Principle for Generalized Control Systems

    • Andreas H. Hamel
    Pages 295-301

  18. D.C. Optimization Approaches via Markov Models for Restoration of Signal (1-D) and (2-D)

    • Thi Hoai Le An, Pham Dinh Tao
    Pages 303-317

  19. New Positive Semidefinite Relaxations for Nonconvex Quadratic Programs

    • Jean B. Lasserre
    Pages 319-331

  20. Interval Analysis Applied to Global Minimization of Potential Energy Functions

    • Carlile Lavor, Nelson Maculan
    Pages 333-344
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Keywords

About this book

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. Convex analysis plays a fun­ damental role in the analysis and development of global optimization algorithms. This is due essentially to the fact that virtually all noncon­ vex optimization problems can be described using differences of convex functions and differences of convex sets. A conference on Convex Analysis and Global Optimization was held during June 5 -9, 2000 at Pythagorion, Samos, Greece. The conference was honoring the memory of C. Caratheodory (1873-1950) and was en­ dorsed by the Mathematical Programming Society (MPS) and by the Society for Industrial and Applied Mathematics (SIAM) Activity Group in Optimization. The conference was sponsored by the European Union (through the EPEAEK program), the Department of Mathematics of the Aegean University and the Center for Applied Optimization of the University of Florida, by the General Secretariat of Research and Tech­ nology of Greece, by the Ministry of Education of Greece, and several local Greek government agencies and companies. This volume contains a selective collection of refereed papers based on invited and contribut­ ing talks presented at this conference. The two themes of convexity and global optimization pervade this book. The conference provided a forum for researchers working on different aspects of convexity and global opti­ mization to present their recent discoveries, and to interact with people working on complementary aspects of mathematical programming.

Editors and Affiliations

  • University of the Aegean, Greece

    Nicolas Hadjisavvas

  • University of Florida, USA

    Panos M. Pardalos

Bibliographic Information

  • Book Title: Advances in Convex Analysis and Global Optimization

  • Book Subtitle: Honoring the Memory of C. Caratheodory (1873–1950)

  • Editors: Nicolas Hadjisavvas, Panos M. Pardalos

  • Series Title: Nonconvex Optimization and Its Applications

  • DOI: https://doi.org/10.1007/978-1-4613-0279-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 2001

  • Hardcover ISBN: 978-0-7923-6942-4Published: 30 June 2001

  • Softcover ISBN: 978-1-4613-7975-1Published: 17 September 2011

  • eBook ISBN: 978-1-4613-0279-7Published: 01 December 2013

  • Series ISSN: 1571-568X

  • Edition Number: 1

  • Number of Pages: XXIV, 597

  • Topics: Optimization, Algorithms, Mathematical Modeling and Industrial Mathematics

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