Accession Number : AD0666607

Title :   AN ITERATIVE PROCEDURE FOR THE SOLUTION OF NONLINEAR EQUATIONS IN A BANACH SPACE.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Aalto,S. K.

Report Date : JUL 1967

Pagination or Media Count : 44

Abstract : In 1964, Zarantonello published a constructive method for the solution of certain nonlinear problems in a Hilbert space. The present report extends the method in various directions including a generalization to a Banach space setting. A revealing geometric interpretation of the method yields guidelines for the analysis. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, PROBLEM SOLVING), BANACH SPACE, HILBERT SPACE, MAPPING(TRANSFORMATIONS), OPERATORS(MATHEMATICS), INEQUALITIES, CONVERGENCE, ITERATIONS, SET THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE