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An extension of the Perron-Frobenius theorem

ABSTRACT

Starting from a rather simple theorem by Scheffold a set of sufficient conditions is found for the system pAp=Bp to have a solution with p>1 and p>0, where A and B are nxn positive matrices. It is shown that such a system would be an extension of the system pAp=Ip for which the Perron-Frobenius theorem holds.

KEYWORDS:
Sraffian analysis; production system

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