supremum norm

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Quirin Meyer

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Feb 21, 2019, 5:17:19 PM2/21/19
to Gurobi Optimization
Is there a way in Gurobi (preferable a C++ way) of adding a supreum norm constraint, i.e. $\Vert A\vec{x}-\vec{b} \Vert_\infty<\vec{c}$?

Daniel Espinoza

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Feb 22, 2019, 9:26:56 AM2/22/19
to Gurobi Optimization
There is no special construct for such a constraint, but it can be easily implemented this way:

A_{i*}x +s1_i - s2_i = b_i for i = 1..m
s1_i + s2_i <= c_i           for i = 1..m

where s1_i and s2_i >= 0
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