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 : APR 1968

Pagination or Media Count : 10

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 Newton's method. (Author)

Descriptors :   (*ITERATIONS, ALGORITHMS), INTERPOLATION, MEASURE THEORY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE