Component-Wise Error Analysis of Iterative Methods Practiced on a Floating-Point System.

Abstract

In the present paper the author gives a component-wise error estimate for an approximate solution obtained by practicing an iterative method on a floating-point system. Further, in case of Newton's method, the author gives a more precise error estimate and also a simple convenient rule for stopping the iterative process. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 11, 1972
Accession Number
AD0755057

Entities

People

  • Minoru Urabe

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Error Analysis
  • Errors
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Systems Analysis and Design