Convex optimization

Slater's condition

In mathematics, Slater's condition (or Slater condition) is a sufficient condition for strong duality to hold for a convex optimization problem, named after Morton L. Slater. Informally, Slater's condition states that the feasible region must have an interior point (see technical details below). Slater's condition is a specific example of a constraint qualification. In particular, if Slater's condition holds for the primal problem, then the duality gap is 0, and if the dual value is finite then it is attained. (Wikipedia).

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Related pages

Interior (topology) | Relative interior | Convex function | Convex optimization | Mathematics | Mathematical optimization | Duality gap | Strong duality | Feasible region