Simplex dictionary (source code)

= Simplex dictionary

A simplex dictionary expresses the basic variables and the objective as affine functions of the nonbasic variables in a <linear program>. Setting the nonbasic variables to zero gives a <basic feasible solution> when all basic values are nonnegative. A <simplex algorithm> pivot exchanges one basic and one nonbasic variable. For maximization, a feasible dictionary with all nonbasic objective coefficients nonpositive certifies optimality.