Homotopy Methods and Global Convergence

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 com...

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Bibliographic Details
Other Authors: Eaves, B. Curtis (Editor)
Format: eBook
Language:English
Published: New York, NY Springer US 1983, 1983
Edition:1st ed. 1983
Series:II Systems Science
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Piecewise Smooth Homotopies
  • Global Convergence Rates of Piecewise-Linear Continuation Methods: A Probabilistic Approach
  • Relationships between Deflation and Global Methods in the Problem of Approximating Additional Zeros of a System of Nonlinear Equations
  • Smooth Homotopies for Finding Zeros of Entire Functions
  • Where Solving for Stationary Points by LCPs Is Mixing Newton Iterates
  • On the Equivalence of the Linear Complementarity Problem and a System of Piecewise Linear Equations: Part II
  • Relations between PL Maps, Complementary Cones, and Degree in Linear Complementarity Problems
  • A Note on Stepsize Control for Numerical Curve Following
  • On a Class of Linear Complementarity Problems of Variable Degree
  • Linear Complementarity and the Degree of Mappings
  • Sub- and Supersolutions for Nonlinear Operators: Problems of Monotone Type
  • An Efficient Procedure for Traversing Large Pieces in Fixed Point Algorithms
  • The Application of Fixed Point Methods to Economics
  • On a Theory of Cost for Equation Solving
  • Algorithms for the Linear Complementarity Problem Which Allow an Arbitrary Starting Point
  • Engineering Applications of the Chow-Yorke Algorithm
  • Availability of Computer Codes for Piecewise-Linear and Differentiable Homotopy Methods