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Advances in Convex Analysis and Global Optimization

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

  • Nicolas Hadjisavvas
  • Panos M. Pardalos

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

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. V. F. Demyanov, A. Astorino, M. Gaudioso
    Pages 11-30
  3. John L. Klepeis, Christodoulos A. Floudas
    Pages 31-73
  4. Franco Giannessi
    Pages 75-103
  5. Claude Lemaréchal, François Oustry
    Pages 119-134
  6. R. T. Rockafellar
    Pages 135-151
  7. J. B. Rosen, A. T. Phillips, S. Y. Oh, K. A. Dill
    Pages 153-180
  8. Stephen M. Robinson
    Pages 205-219
  9. Hoang Thy, A. M. Bagirov, A. M. Rubinov
    Pages 221-234
  10. A. M. Bagirov, A. M. Rubinov
    Pages 245-268
  11. Manoel Campêlo, Susana Scheimberg
    Pages 269-281
  12. Pavlos S. Efraimidis, Paul G. Spirakis
    Pages 283-294
  13. Pierre Maréchal
    Pages 361-369
  14. René Meziat, Juan José Egozcue, Pablo Pedregal
    Pages 371-382
  15. Alessio Massaro, Marcello Pelillo
    Pages 383-394
  16. Faranak Sharifi Mokhtarian, Jean-Louis Goffin
    Pages 395-407
  17. Miguel F. Anjos, Henry Wolkowicz
    Pages 409-420
  18. V. P. Plagianakos, G. D. Magoulas, M. N. Vrahatis
    Pages 421-432
  19. V. P. Plagianakos, G. D. Magoulas, M. N. Vrahatis
    Pages 433-444
  20. K. E. Parsopoulos, V. P. Plagianakos, G. D. Magoulas, M. N. Vrahatis
    Pages 445-457
  21. Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky
    Pages 459-471
  22. Marcos Augusto dos Santos, Paulo Roberto Oliveira
    Pages 473-485
  23. M. Bouhadi, R. Ellaia, J. E. Souza de Cursi
    Pages 487-499
  24. Robert Baier, Elza M. Farkhi
    Pages 501-514
  25. G. Salmon, J. J. Strodiot, V. H. Nguyen
    Pages 515-529
  26. Carlo Mariconda, Giulia Treu
    Pages 545-551
  27. Susana Gómez, Julio Solano, Longina Castellanos, Marcos I. Quintana
    Pages 553-567
  28. Back Matter
    Pages 595-597

About this book

Introduction

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.

Keywords

algorithms applied mathematics calculus combinatorial optimization computation derivative global optimization gradient descent Markov model Mathematica mathematical programming mathematics optimization optimization algorithm programming

Editors and affiliations

  • Nicolas Hadjisavvas
    • 1
  • Panos M. Pardalos
    • 2
  1. 1.University of the AegeanGreece
  2. 2.University of FloridaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-0279-7
  • Copyright Information Springer-Verlag US 2001
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-7923-6942-4
  • Online ISBN 978-1-4613-0279-7
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site