A Method to Solve Very Large Physical Systems in Easy Stages

Physical systems with very large number of variables (say with tens of thousands of variables) may be solved with already available digital computers by tearing the system apart into a large number of small subdivisions, solving each subdivision separately, afterward interconnecting the partial solutions by a set of transformations to obtain outright the exact solution of the original system, Among the many advantages of the tearing (or tensorial) method is the red 3 ction of the amount of original calculations to a small fraction of about 2/n
²
where n is the number of subdivisions. Another advantage is the reduction of the number of elements in inverse matrices to a fraction smaller than 1/
\sqrt{n}
. The same saving of labor appears also in smaller systems employing slide-rule calculations.