Homotopy Methods and Global Convergence

  • B. Curtis Eaves
  • Floyd J. Gould
  • Heinz-Otto Peitgen
  • Michael J. Todd

Part of the NATO Conference Series book series (NATOCS, volume 13)

Table of contents

  1. Front Matter
    Pages i-viii
  2. J. C. Alexander, T.-Y. Li, J. A. Yorke
    Pages 1-14
  3. Jack Carr, John Mallet-Paret
    Pages 43-62
  4. Roger Howe, Richard Stone
    Pages 179-223
  5. Mike Shub, Steven Smale
    Pages 263-265
  6. B. Curtis Eaves, Floyd J. Gould, Heinz-Otto Peitgen, Michael J. Todd
    Pages 309-315
  7. Back Matter
    Pages 317-318

About this book


This Proceedings presents refereed versions of most of the papers presented at the NATO Advanced Research Institute on Homotopy Methods and Global Convergence held in Porto Cervo, Sardinia, June 3-6, 1981. This represents the fourth recent occurrence of an international conference addressing the common theme of fixed point computation. The first such conference, ti tled "Computing Fixed Points with Applications," was held in the Department of Mathematical Sciences at Clemson University, Clemson, South Carolina, June 26-28, 1974 and was sponsored by the Office of Naval Research and the Office of the Army Research Center. The second conference, "Symposium on Analysis and Computation of Fixed Points," was held at the University of Wisconsin, Madison, May 7-8, 1979, under the sponsorship of the National Science Foundation, the U. S. Army, and the Mathematics Research Center of the University of Wisconsin, Madison. The third conference, titled "Symposium on Fixed Point Algorithms and Complementarity," was held at the University of Southampton, Southampton, UK, July 3-5, 1979 and was sponsored by U. N. E. S. C. O. , European Research Office (London), Department of Mathematics (University of Southampton), I. B. M. U. K. , Ltd. , Lloyds Bank, Ltd. , and the Office of Naval Research (London). The Advanced Research Institute held in Sardinia was devoted to the theory and application of modern homotopy methods. The following topics were stressed: Path-Following Techniques; Bottom-Line Applications; Global vs. Classical Methods; and Sta- v vi PREFACE of-the-Art, Perspectives and Potential.


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Editors and affiliations

  • B. Curtis Eaves
    • 1
  • Floyd J. Gould
    • 2
  • Heinz-Otto Peitgen
    • 3
  • Michael J. Todd
    • 4
  1. 1.Standford UniversityStanfordUSA
  2. 2.University of ChicagoChicagoUSA
  3. 3.University of BremenBremenFederal Republic of Germany
  4. 4.Cornell UniversityIthacaUSA

Bibliographic information