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Mathematical Programming The State of the Art

Bonn 1982

  • Book
  • © 1983

Overview

Editors:
  1. Achim Bachem

    1. Institut für Ökonometrie und Operations Research, Universität Bonn, Bonn 1, Germany

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  2. Bernhard Korte

    1. Institut für Ökonometrie und Operations Research, Universität Bonn, Bonn 1, Germany

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  3. Martin Grötschel

    1. Lehrstuhl für Angewandte Mathematik II, Universität Augsburg, Augsburg, Germany

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Table of contents (23 chapters)

  1. Front Matter

    Pages I-VIII
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  2. About the XIth International Symposium on Mathematical Programming

    1. About the XIth International Symposium on Mathematical Programming

      • Achim Bachem, Bernhard Korte, Martin Grötschel
      Pages 1-11

  3. Mathematical Programming: The State of the Art — Bonn 1982

    1. Front Matter

      Pages 13-13
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    2. Predictor-Corrector and Simplicial Methods for Approximating Fixed Points and Zero Points of Nonlinear Mappings

      • E. L. Allgower, K. Georg
      Pages 15-56

    3. Polyhedral Theory and Commutative Algebra

      • L. J. Billera
      Pages 57-77

    4. Reminiscences About the Origins of Linear Programming

      • G. B. Dantzig
      Pages 78-86

    5. Penalty Functions

      • R. Fletcher
      Pages 87-114

    6. Applications of the FKG Inequality and Its Relatives

      • R. L. Graham
      Pages 115-131

    7. Semi-Infinite Programming and Applications

      • S.-Å. Gustafson, K. O. Kortanek
      Pages 132-157

    8. Applications of Matroid Theory

      • M. Iri
      Pages 158-201

    9. Recent Results in the Theory of Machine Scheduling

      • E. L. Lawler
      Pages 202-234

    10. Submodular functions and convexity

      • L. Lovász
      Pages 235-257

    11. Recent Developments in Algorithms and Software for Trust Region Methods

      • J. J. Moré
      Pages 258-287

    12. Variable Metric Methods for Constrained Optimization

      • M. J. D. Powell
      Pages 288-311

    13. Polyhedral Combinatorics

      • W. R. Pulleyblank
      Pages 312-345

    14. Generalized Equations

      • Stephen M. Robinson
      Pages 346-367

    15. Generalized Subgradients in Mathematical Programming

      • R. T. Rockafellar
      Pages 368-390

    16. Nondegeneracy Problems in Cooperative Game Theory

      • J. Rosenmüller
      Pages 391-416

    17. Conic Methods for Unconstrained Minimization and Tensor Methods for Nonlinear Equations

      • R. B. Schnabel
      Pages 417-438

    18. Min-Max Results in Combinatorial Optimization

      • A. Schrijver
      Pages 439-500
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Editors and Affiliations

  • Institut für Ökonometrie und Operations Research, Universität Bonn, Bonn 1, Germany

    Achim Bachem, Bernhard Korte

  • Lehrstuhl für Angewandte Mathematik II, Universität Augsburg, Augsburg, Germany

    Martin Grötschel

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