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