A GENERALIZATION OF NEWTON'S METHOD WITH AN APPLICATION TO THE EULER-LAGRANGE EQUATION.

Abstract

The paper presents a procedure for approximating the zeros of a nonlinear operator P from a Banach space X to a Banach space Y. This procedure is general enough to include the generalized Euler-Lagrange equation. The procedure presented is called the weak Newton method and is a generalization of L. V. Kantorovish's Newton's method.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1967
Accession Number
AD0663288

Entities

People

  • Richard Alfred Tapia

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra

Technology Areas

  • Space