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:

1972-08-01

Pagination or Media Count:

16.0

Abstract:

A general class of iteration processes including Stirlings method is studied, and local and semi-local theorems are proved which show the quadratic convergence of Stirlings method under the assumptions of uniform boundedness and Lipschitz continuity of the Frechet derivative F of the operator F. Comparisons between Stirlings and Newtons methods are given. Author

Descriptors:

• (*FUNCTIONAL ANALYSIS
• OPERATORS(MATHEMATICS))
• BANACH SPACE
• ITERATIONS
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE