Accession Number : AD0753141

Title :   Convergence of Stirling's Method in Banach Spaces.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Rall,L. B.

Report Date : AUG 1972

Pagination or Media Count : 16

Abstract : A general class of iteration processes including Stirling's method is studied, and local and semi-local theorems are proved which show the quadratic convergence of Stirling's method under the assumptions of uniform boundedness and Lipschitz continuity of the Frechet derivative F' of the operator F. Comparisons between Stirling's and Newton's methods are given. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, OPERATORS(MATHEMATICS)), BANACH SPACE, ITERATIONS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE