ON NEWTON-LIKE METHODS.

Abstract

The paper studies the convergence of Newton-like algorithms for the solution of nonlinear operator equations P(x) = 0 based on using a linear operator that is nearly a left inverse of the Frechet derivative P'(x) instead of the actual inverse or an approximate right inverse as has been treated elsewhere. The results are asymptotic in nature and do not give existence proofs or error estimates as are commonly seen. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0675790

Entities

People

  • James W. Daniel

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Convergence
  • Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Molecular and Cellular Biochemistry