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A Method to Solve Very Large Physical Systems in Easy Stages

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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/n2where 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.

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Circuit Theory, Transactions of the IRE Professional Group on  (Volume:PGCT-2 )