ON SUFFICIENT TESTS OF CONVERGENCE OF THE METHOD OF AVERAGING FUNCTIONAL CORRECTIONS,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 10, 1969
- Accession Number
- AD0688285
Entities
People
- Yu. D. Sokolov
Organizations
- Johns Hopkins University Applied Physics Laboratory