convex optimization - What Is a Pointed Cone Intuitively? How Could One Visualize It? - Mathematics Stack Exchange

A cone $K$, where $K ⊆\Bbb R^n$ , is pointed; which means that it contains no line (or equivalently, $(x ∈ K~\land~ −x∈K) ~\to~ x=\vec 0$.

What is the intuitive explanation for the duality in optimization? Why

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What is the intuitive explanation for the duality in optimization

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convex optimization - What Is a Pointed Cone Intuitively? How