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In various numerical problems one is confronted with the task of solving a system of linear inequalities: (1.1) (i = 1, … ,m) assuming, of course, that the above system is consistent. Sometimes one has, in addition, to minimize a given linear form l ( x ). Thus, in linear programming one obtains a problem of the latter type.
Shmuel Agmon (Fri,) studied this question.
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