Accession Number:

AD0760340

Title:

A Study of Ostrowski Efficiency for Composite Iteration Algorithms.

Descriptive Note:

Interim rept. No. 4,

Corporate Author:

VIRGINIA UNIV CHARLOTTESVILLE

Personal Author(s):

• Feldstein,Alan
• Firestone,Roger M.

Report Date:

1968-04-01

Pagination or Media Count:

10.0

Abstract:

The following question is investigated It is possible for the function composition of Hermite interpolatory iteration algorithms to result in an increase in the Ostrowski efficiency. A detailed investigation is carried out to discover those cases when the answer is yes. Several interesting, new algorithms are uncovered. Each has a theoretical efficiency greater than that of either the secant method or of Newtons method. Author

Descriptors:

• (*ITERATIONS
• ALGORITHMS)
• INTERPOLATION
• MEASURE THEORY
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE