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Convexity and Duality in Optimization

Proceedings of the Symposium on Convexity and Duality in Optimization Held at the University of Groningen, The Netherlands June 22, 1984

  • Conference proceedings
  • © 1985

Overview

Editors:
  1. Jacob Ponstein

    1. University of Groningen, Groningen, The Netherlands

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 256)

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Table of contents (5 papers)

  1. Front Matter

    Pages N2-v
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  2. Mathematical Faits Divers

    • J.-B. Hiriart-Urruty
    Pages 1-9

  3. Monotropic Programming: A Generalization of Linear Programming and Network Programming

    • R. Tyrrell Rockafellar
    Pages 10-36

  4. Generalized Differentiability / Duality and Optimization for Problems Dealing with Differences of Convex Functions

    • J.-B. Hiriart-Urruty
    Pages 37-70

  5. From Convex to Mixed Programming

    • J. Ponstein
    Pages 71-94

  6. Some Linear Programs in Probabilities and their Duals

    • W. K. Klein Haneveld
    Pages 95-141

  7. Back Matter

    Pages 142-147
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Keywords

About this book

The analysis and optimization of convex functions have re­ ceived a great deal of attention during the last two decades. If we had to choose two key-words from these developments, we would retain the concept of ~ubdi66~e~ and the duality theo~y. As it usual in the development of mathematical theories, people had since tried to extend the known defi­ nitions and properties to new classes of functions, including the convex ones. For what concerns the generalization of the notion of subdifferential, tremendous achievements have been carried out in the past decade and any rna·· thematician who is faced with a nondifferentiable nonconvex function has now a panoply of generalized subdifferentials or derivatives at his disposal. A lot remains to be done in this area, especially concerning vecto~-valued functions ; however we think the golden age for these researches is behind us. Duality theory has also fascinated many mathematicians since the underlying mathematical framework has been laid down in the context of Convex Analysis. The various duality schemes which have emerged in the re­ cent years, despite of their mathematical elegance, have not always proved as powerful as expected.

Editors and Affiliations

  • University of Groningen, Groningen, The Netherlands

    Jacob Ponstein

Bibliographic Information

  • Book Title: Convexity and Duality in Optimization

  • Book Subtitle: Proceedings of the Symposium on Convexity and Duality in Optimization Held at the University of Groningen, The Netherlands June 22, 1984

  • Editors: Jacob Ponstein

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-45610-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Softcover ISBN: 978-3-540-15986-5Published: 01 October 1985

  • eBook ISBN: 978-3-642-45610-7Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: V, 142

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods

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