Fixed Points
eBook - PDF

Fixed Points

Algorithms and Applications

  1. 506 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Fixed Points

Algorithms and Applications

About this book

Fixed Points: Algorithms and Applications covers the proceedings of the First International Conference on Computing Fixed Points with Applications, held in the Department of Mathematical Sciences at Clemson University, Clemson, South Carolina on June 26-28, 1974. This book is composed of 21 chapters and starts with reviews of finding roots of polynomials by pivoting procedures and the relations between convergence and labeling in approximation algorithm. The next chapters deal with the principles of complementary pivot theory and the Markovian decision chains; the method of continuation for Brouwer fixed point calculation; a fixed point approach to stability in cooperative games; and computation of fixed points in a nonconvex region. Other chapters discuss a computational comparison of fixed point algorithms, the fundamentals of union jack triangulations, and some aspects of Mann's iterative method for approximating fixed points. The final chapters consider the application of fixed point algorithms to the analysis of tax policies and the pricing for congestion in telephone networks. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.

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Yes, you can access Fixed Points by Stepan Karamardian in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9780123980502
eBook ISBN
9781483261133
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Fixed Points: Algorithms and Applications
  3. Copyright Page
  4. Table of Contents
  5. Contributors
  6. Preface
  7. Introduction
  8. Chapter 1. Finding Roots of Polynomials By Pivoting
  9. Chapter 2. A New Simplicial Approximation Algorithm With Restarts: Relations Between Convergence and Labelings
  10. Chapter 3. Complementary Pivot Theory and Markoviaïi Decision Chains
  11. Chapter 4. Application of a Fixed Point Search Algorithm to Nonlinear Boundary Value Problems Having Several Solutions
  12. Chapter 5. Generating Stationary Points for a Class of Mathematical Programming Problems by Fixed Point Algorithms
  13. Chapter 6. A Method of Continuation for Calculating a Brouwer Fixed Point
  14. Chapter 7. Continuation Methods for Simplicial Mappings
  15. Chapter 8. A Fixed Point Approach to Stability in Cooperative Games
  16. Chapter 9. Error Bounds for Approximate Fixed Points
  17. Chapter 10. Computation of Fixed Point in a Nonconvex Region
  18. Chapter 11. Investigations Into the Efficiency of the Fixed Point Algorithms
  19. Chapter 12. Almost-Complementary Paths in the Generalized Complementarity Problem
  20. Chapter 13. A Computational Comparison of Fixed Point Algorithms Which Use Complementary Pivoting
  21. Chapter 14. Computational Experience With Large-Scale Linear Complementarity Problems
  22. Chapter 15. Union Jack Triangulations
  23. Chapter 16. Fixed Point Iterations Using Infinite Matrices, III
  24. Chapter 17. Some Aspects of Mann's Iterative Method for Approximating Fixed Points
  25. Chapter 18. Solving Economic General Equilibrium Models by the Sandwich Method
  26. Chapter 19. Applying Fixed Point Algorithms to the Analysis of Tax Policies
  27. Chapter 20. "Fiscal Harmonization in the EEC; Some Preliminary Findings of Fixed Point Calculations"
  28. Chapter 21. Pricing for Congestion in Telephone Networks: A Numerical Example