On the Iterative Solution of a System of Equations,
NAVAL ORDNANCE LAB WHITE OAK MD
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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.
- Theoretical Mathematics