Quasiconvex Functions | Quasiconvex Functions |
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Quasiconvex functions are useful in practical problem solving because they are unimodal (by definition when nonmonotone); a global minimum is guaranteed to exist over any convex set in the function domain. Unlike convex functions, quasiconvex functions are not necessarily continuous. Although insufficient for convex functions, convexity of each and every sublevel set is necessary and sufficient for quasiconvexity. |
