
Accession Number : AD0663288
Title : A GENERALIZATION OF NEWTON'S METHOD WITH AN APPLICATION TO THE EULERLAGRANGE 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 EulerLagrange 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