Abstract
Let the following be given: two n × m real matrices, E and F, such that F ⩽ E, three real n-rows, p, a and b, such that b ⩽ a, and three real m-columns, t, c and d, such that d ⩽ c. We give inequalities relating the given matrices and vectors, equivalent to the consistency of the system F ⩽ X ⩽ E , d ⩽ Xt ⩽ c , b ⩽ pX ⩽a , where X is an n × m unknown real matrix.
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