Accession Number : AD0663288

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

Descriptive Note : Doctoral thesis,

Corporate Author : CALIFORNIA UNIV LOS ANGELES NUMERICAL ANALYSIS RESEARCH

Personal Author(s) : Tapia,Richard Alfred

Report Date : OCT 1967

Pagination or Media Count : 106

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.

Descriptors :   (*OPERATORS(MATHEMATICS), BANACH SPACE), (*CALCULUS OF VARIATIONS, BOUNDARY VALUE PROBLEMS), FUNCTIONAL ANALYSIS, THESES, APPROXIMATION(MATHEMATICS), NUMERICAL ANALYSIS, SET THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE