Newton's Method for Nonlinear Inequalities,

Abstract

A Newton-type algorithm has been presented elsewhere for solving nonlinear inequalities of the form f(x) < or = 0, and quadratic convergence has been proved under very strong hypotheses. In the paper the author shows that the same results hold under a considerable weakening of the hypotheses. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0749096

Entities

People

  • James W. Daniel

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Convergence
  • Hypotheses
  • Inequalities

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Theoretical Analysis.