A Globally Convergent Ball Newton Method.

Abstract

A new n-dimensional Newton method is presented. In each step a whole n-dimensional ball is determined rather than a single new approximation point. This ball contains the desired zero of the given function. The method is globally convergent. If the given initial ball does not contain any zero, then the method stops after a finite number of steps. Depending upon the assumptions which are made, the convergence of the ball radii is linear, superlinear or quadratic. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA079728

Entities

People

  • Karl L. Nickel

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Intelligence
  • Computations
  • Convergence
  • Functional Analysis
  • Inclusions
  • Inequalities
  • Mathematics
  • North Carolina
  • Numbers
  • Numerical Analysis
  • Real Numbers
  • Sequences
  • Three Dimensional
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Explosive Engineering.