On the Solution of Nonlinear Equations by Path Methods.

Abstract

The problem considered is that of finding a solution to a system of nonlinear equations subject to some auxiliary constraints. The methods studied here are called path methods, also referred to as continuation or global Newton methods, for solving equations. A general theory is developed which unifies the results from several papers and allows new methods to be analyzed easily. The new methods are shown to converge under more general boundary and monotonicity conditions than those assumed for the existing methods. A rigorous proof of convergence is given for an algorithm which implements a general path method. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA053200

Entities

People

  • Thomas R. Elken

Organizations

  • Stanford University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Computations
  • Convergence
  • Differential Equations
  • Differential Topology
  • Eigenvalues
  • Equations
  • Mathematics
  • New York
  • Operations Research
  • Orientation (Direction)
  • Point Theorem
  • Theses
  • Topology
  • Two Dimensional
  • Vector Spaces

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.