Convergence of Stirling's Method in Banach Spaces.

Abstract

A general class of iteration processes including Stirling's method is studied, and local and semi-local theorems are proved which show the quadratic convergence of Stirling's method under the assumptions of uniform boundedness and Lipschitz continuity of the Frechet derivative F' of the operator F. Comparisons between Stirling's and Newton's methods are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0753141

Entities

People

  • Louis B. Rall

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Continuity
  • Convergence
  • Iterations
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space