Accession Number : AD0700776

Title :   DERIVATIVE-FREE ITERATION PROCESSES OF HIGHER ORDER.

Descriptive Note : Technical rept.,

Corporate Author : MIDWEST RESEARCH INST KANSAS CITY MO ENERGETICS RESEARCH LAB

Personal Author(s) : Wimp,Jet

Report Date : NOV 1969

Pagination or Media Count : 18

Abstract : Two different iteration processes are derived for determining a root alpha of the equation x = psi(x) where psi is analytic in a neighborhood of alpha. The methods do not contain derivatives of psi and are of arbitrary order m. They reduce to Steffensen's iteration procedure when m = 2. (Author)

Descriptors :   (*EQUATIONS, *NUMERICAL METHODS AND PROCEDURES), ITERATIONS, ANALYTIC FUNCTIONS, DETERMINANTS(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE