Review set

Identifying active constraints at a point

The questions hand you a point and ask which constraints hold with equality there, including the nonnegativity restrictions that are easiest to overlook. Taking the set returns quickly; deciding position by the rank of the normals rather than by counting them is what needs practice.

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What this covers

  • Identify the active constraints at a point

    Given a feasible region described by inequality, equality and nonnegativity constraints together with a feasible point, the learner can determine which constraints are active there, count the independent ones among them, and state what that count implies about the point's position in the region.

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