THE KANTOROVICH THEOREM AND ERROR ESTIMATES FOR NEWTON'S METHOD.

Abstract

In this note the authors derive a simple recurrence relation for the best possible error estimates the Kantorovich theorem can give for Newton's method. This formulation has, as immediate consequences, all previously derived error estimates and some improved error estimates. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1970
Accession Number
AD0713698

Entities

People

  • Louis B. Rall
  • Richard A. Tapia

Organizations

  • University of Wisconsin–Madison

Tags

Fields of Study

  • Mathematics

Readers

  • Linear Algebra