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

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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. Kantorovishs Newtons method.

Author(s):
Tapia, Richard Alfred
Author Organization(s):
CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH
Descriptive Note:
Doctoral thesis,
Pagination:
0106

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
67-7
Contract/Grant Number(s):
Nonr-233(76)
Project Number(s):
NR-044-144
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*OPERATORS(MATHEMATICS), BANACH SPACE), (*CALCULUS OF VARIATIONS, BOUNDARY VALUE PROBLEMS), FUNCTIONAL ANALYSIS, THESES, APPROXIMATION(MATHEMATICS), NUMERICAL ANALYSIS, SET THEORY, THEOREMS
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
EULER LAGRANGE EQUATION, NEWTON S METHOD
Report Date:
1967 Oct 01