Accession Number:

AD0895219

Title:

On the Iterative Solution of a System of Equations,

Descriptive Note:

Corporate Author:

NAVAL ORDNANCE LAB WHITE OAK MD

Personal Author(s):

Report Date:

1952-08-15

Pagination or Media Count:

15.0

Abstract:

The problem for consideration is the solution of the system of simultaneous equations xsub j fsub j xsub 1, xsub 2, ... xsub 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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE