Accession Number : AD0638615

Title :   ON SOME ITERATIVE PROCESSES.

Descriptive Note : Technical summary rept.

Corporate Author : MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON

Personal Author(s) : Safiev,R. A.

Report Date : MAR 1966

Pagination or Media Count : 13

Abstract : The paper presents a unified treatment of the convergence of two higher-order iterative methods for solving the nonlinear equation P(x) = 0 in a Banach space. Both methods use the second derivative of the operator P, and have a cubic rate of convergence under given conditions. One method is known as the method of tangent hyperbolas, as generalized by M. A. Mertvecova, and the other method is the generalization of Cebysev's method given by N. I. Necepurenko. (Author)

Descriptors :   (*ITERATIONS, *FUNCTIONAL ANALYSIS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE