Accession Number : AD0895219

Title :   On the Iterative Solution of a System of Equations,

Corporate Author : NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s) : Good, R. A. ; Eddy, R. P.

Report Date : 15 AUG 1952

Pagination or Media Count : 15

Abstract : The problem for consideration is the solution of the system of simultaneous equations: x(sub j) = (f(sub j)) (x(sub 1), x(sub 2), ... x(sub n) where 1 < or = j < or = n. Vector notation is introduced to facilitate the computation of a root in an open convex region of n-dimensional space. Series convergence and divergence are discussed with approximations and matrix techniques to facilitate series convergence. Several examples demonstrate this is a powerful method to accelerate the determination of the root.

Descriptors :   *ITERATIONS), (*SIMULTANEOUS EQUATIONS, ALGORITHMS, VECTOR ANALYSIS, SERIES(MATHEMATICS), CONVERGENCE, APPROXIMATION(MATHEMATICS), MATRICES(MATHEMATICS), NUMERICAL METHODS AND PROCEDURES.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE