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Nondifferentiable Optimization: Motivations and Applications

Proceedings of an IIASA (International Institute for Applied Systems Analysis) Workshop on Nondifferentiable Optimization Held at Sopron, Hungary, September 17–22, 1984

  • Conference proceedings
  • © 1985

Overview

Editors:
  1. Vladimir F. Demyanov

    1. International Institute for Applied Systems Analysis, Laxenburg, Austria
      Applied Mathematical Department, Leningrad University, Leningrad, USSR

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  2. Diethard Pallaschke

    1. Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Karlsruhe 1, Germany

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 255)

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Table of contents (32 papers)

  1. Front Matter

    Pages N2-VI
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  2. Concepts in Nonsmooth Analysis

    1. Front Matter

      Pages 1-1
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    2. Attempts to Approximate a Set-Valued Mapping

      • V. F. Demyanov, C. Lemaréchal, J. Zowe
      Pages 3-7

    3. Miscellanies on Nonsmooth Analysis and Optimization

      • J.-B. Hiriart-Urruty
      Pages 8-24

    4. Bundle Methods, Cutting-Plane Algorithms and σ-Newton Directions

      • C. Lemaréchal, J. J. Strodiot
      Pages 25-33

    5. The Solution of a Nested Nonsmooth Optimization Problem

      • Robert Mifflin
      Pages 34-40

    6. Variations on the Theme of Nonsmooth Analysis: Another Subdifferential

      • Jean-Paul Penot
      Pages 41-54

    7. Lipschitzian Stability in Optimization: The Role of Nonsmooth Analysis

      • R. T. Rockafellar
      Pages 55-73

    8. Upper-Semicontinuously Directionally Differentiable Functions

      • A. M. Rubinov
      Pages 74-86

    9. A New Approach to Clarke’s Gradients in Infinite Dimensions

      • Jay S. Treiman
      Pages 87-93

  4. Algorithms and Optimization Methods

    1. Front Matter

      Pages 163-163
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    2. Seminormal Functions in Optimization Theory

      • E. J. Balder
      Pages 165-169

    3. The General Concept of Cone Approximations in Nondifferentiable Optimization

      • K.-H. Elster, J. Thierfelder
      Pages 170-189
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Keywords

About this book

The International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria, has been involved in research on nondifferentiable optimization since 1976. IIASA-based East-West cooperation in this field has been very productive, leading to many important theoretical, algorithmic and applied results. Nondifferentiable optimi­ zation has now become a recognized and rapidly developing branch of mathematical programming. To continue this tradition, and to review recent developments in this field, IIASA held a Workshop on Nondifferentiable Optimization in Sopron (Hungary) in September 1964. The aims of the Workshop were: 1. To discuss the state-of-the-art of nondifferentiable optimization (NDO), its origins and motivation; 2. To compare-various algorithms; 3. To evaluate existing mathematical approaches, their applications and potential; 4. To extend and deepen industrial and other applications of NDO. The following topics were considered in separate sessions: General motivation for research in NDO: nondifferentiability in applied problems, nondifferentiable mathematical models. Numerical methods for solving nondifferentiable optimization problems, numerical experiments, comparisons and software. Nondifferentiable analysis: various generalizations of the concept of subdifferen­ tials. Industrial and other applications. This volume contains selected papers presented at the Workshop. It is divided into four sections, based on the above topics: I. Concepts in Nonsmooth Analysis II. Multicriteria Optimization and Control Theory III. Algorithms and Optimization Methods IV. Stochastic Programming and Applications We would like to thank the International Institute for Applied Systems Analysis, particularly Prof. V. Kaftanov and Prof. A.B. Kurzhanski, for their support inorganiz­ ing this meeting.

Editors and Affiliations

  • International Institute for Applied Systems Analysis, Laxenburg, Austria

    Vladimir F. Demyanov

  • Applied Mathematical Department, Leningrad University, Leningrad, USSR

    Vladimir F. Demyanov

  • Institut für Statistik und Mathematische Wirtschaftstheorie, Universität Karlsruhe, Karlsruhe 1, Germany

    Diethard Pallaschke

Bibliographic Information

  • Book Title: Nondifferentiable Optimization: Motivations and Applications

  • Book Subtitle: Proceedings of an IIASA (International Institute for Applied Systems Analysis) Workshop on Nondifferentiable Optimization Held at Sopron, Hungary, September 17–22, 1984

  • Editors: Vladimir F. Demyanov, Diethard Pallaschke

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-662-12603-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1985

  • Softcover ISBN: 978-3-540-15979-7Published: 01 October 1985

  • eBook ISBN: 978-3-662-12603-5Published: 29 June 2013

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: VI, 355

  • Number of Illustrations: 25 b/w illustrations

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods

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