Accession Number : AD0688285

Title :   ON SUFFICIENT TESTS OF CONVERGENCE OF THE METHOD OF AVERAGING FUNCTIONAL CORRECTIONS,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Sokolov,Yu. D.

Report Date : 10 APR 1969

Pagination or Media Count : 21

Abstract : In the iterative solution of the nonlinear functional equation x = T(x) + phi on a function space, the author's method of averaging functional corrections is defined by the sequence y sub n = T(y sub (n-1) + (alpha sub n)Z) + phi, where z is a fixed function, alpha sub n is a scalar satisfying L (y sub n) = L (y sub (n-1)) + (alpha sub n) L z, and L is a fixed linear functional on the function space. Sufficient conditions are obtained for the convergence of this method as applied to systems of integral equations of the Hammerstein type. The results are related to the previous work of Kurpel. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, INTEGRAL EQUATIONS), (*INTEGRAL EQUATIONS, APPROXIMATION(MATHEMATICS)), ITERATIONS, NONLINEAR SYSTEMS, SEQUENCES(MATHEMATICS), INEQUALITIES, CONVERGENCE, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE