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Triangulations and Simplicial Methods

  • Book
  • © 1995

Overview

Authors:
  1. Chuangyin Dang

    1. Department of Engineering Science, University of Auckland, Auckland, New Zealand

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 421)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction

    • Chuangyin Dang
    Pages 1-7

  3. Preliminaries

    • Chuangyin Dang
    Pages 9-20

  4. Existing Triangulations

    • Chuangyin Dang
    Pages 21-43

  5. The D1-Triangulation of Rn

    • Chuangyin Dang
    Pages 45-64

  6. The T1-Triangulation of the Unit Simplex

    • Chuangyin Dang
    Pages 65-77

  7. The D1-Triangulation in Variable Dimension Algorithms on the Unit Simplex

    • Chuangyin Dang
    Pages 79-103

  8. The D1-Triangulation in Variable Dimension Algorithms on the Euclidean Space

    • Chuangyin Dang
    Pages 105-127

  9. The D3-Triangulation for Simplicial Homotopy Algorithms

    • Chuangyin Dang
    Pages 129-143

  10. The D2-Triangulation for Simplicial Homotopy Algorithms

    • Chuangyin Dang
    Pages 145-172

  11. Conclusions

    • Chuangyin Dang
    Pages 173-177

  12. Back Matter

    Pages 179-198
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Keywords

About this book

As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.

Authors and Affiliations

  • Department of Engineering Science, University of Auckland, Auckland, New Zealand

    Chuangyin Dang

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