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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

  • Vladimir F. Demyanov
  • Diethard Pallaschke

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

Table of contents

  1. Front Matter
    Pages N2-VI
  2. Concepts in Nonsmooth Analysis

  3. Multicriteria Optimization and Control Theory

  4. Algorithms and Optimization Methods

    1. Front Matter
      Pages 163-163
    2. E. J. Balder
      Pages 165-169
    3. K. Lommatzsch, Nguyen Van Thoai
      Pages 230-236
  5. Stochastic Programming and Applications

  6. Back Matter
    Pages 350-355

About these proceedings

Introduction

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 in organiz­ ing this meeting.

Keywords

Applications Optimization Methods algorithms cooperation duality linear optimization mathematical programming optimization optimization theory planning programming research science and technology stability variational inequalities

Editors and affiliations

  • Vladimir F. Demyanov
    • 1
    • 2
  • Diethard Pallaschke
    • 3
  1. 1.International Institute for Applied Systems AnalysisLaxenburgAustria
  2. 2.Applied Mathematical DepartmentLeningrad UniversityLeningradUSSR
  3. 3.Institut für Statistik und Mathematische WirtschaftstheorieUniversität KarlsruheKarlsruhe 1Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-12603-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1985
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-15979-7
  • Online ISBN 978-3-662-12603-5
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site