@@ -76,12 +76,12 @@ The vector-valued set types implemented in MathOptInterface.jl are:
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| [ ` DualExponentialCone() ` ] (@ref MathOptInterface.DualExponentialCone) | `` \{ (u,v,w) \in \mathbb{R}^3 : -u \exp (v/u) \le \exp(1) w, u < 0 \} `` |
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| [ ` GeometricMeanCone(d) ` ] (@ref MathOptInterface.GeometricMeanCone) | `` \{ (t,x) \in \mathbb{R}^{1+n} : x \ge 0, t \le \sqrt[n]{x_1 x_2 \cdots x_n} \} `` where `` n `` is `` d - 1 `` |
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| [ ` PowerCone(α) ` ] (@ref MathOptInterface.PowerCone) | `` \{ (x,y,z) \in \mathbb{R}^3 : x^{\alpha} y^{1-\alpha} \ge \|z\|, x \ge 0,y \ge 0 \} `` |
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- | [ ` DualPowerCone(α) ` ] (@ref MathOptInterface.DualPowerCone) | `` \{ (u,v,w) \in \mathbb{R}^3 : \left(\frac{u}{\alpha}\right( ^{\alpha}\left(\frac{v}{1-\alpha}\right)^{1-\alpha} \ge \|w\|, u,v \ge 0 \} `` |
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+ | [ ` DualPowerCone(α) ` ] (@ref MathOptInterface.DualPowerCone) | `` \{ (u,v,w) \in \mathbb{R}^3 : \left(\frac{u}{\alpha}\right) ^{\alpha}\left(\frac{v}{1-\alpha}\right)^{1-\alpha} \ge \|w\|, u,v \ge 0 \} `` |
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| [ ` NormOneCone(d) ` ] (@ref MathOptInterface.NormOneCone) | `` \{ (t,x) \in \mathbb{R}^{d} : t \ge \sum_i \lvert x_i \rvert \} `` |
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| [ ` NormInfinityCone(d) ` ] (@ref MathOptInterface.NormInfinityCone) | `` \{ (t,x) \in \mathbb{R}^{d} : t \ge \max_i \lvert x_i \rvert \} `` |
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| [ ` RelativeEntropyCone(d) ` ] (@ref MathOptInterface.RelativeEntropyCone) | `` \{ (u, v, w) \in \mathbb{R}^{d} : u \ge \sum_i w_i \log (\frac{w_i}{v_i}), v_i \ge 0, w_i \ge 0 \} `` |
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| [ ` HyperRectangle(l, u) ` ] (@ref MathOptInterface.HyperRectangle) | `` \{x \in \bar{\mathbb{R}}^d: x_i \in [l_i, u_i] \forall i=1,\ldots,d\} `` |
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- | [ ` NormCone(p, d) ` ] (@ref MathOptInterface.NormCone) | ``\{ (t,x) \in \mathbb{R}^{d} : t \ge \left(\sum\limits_i | x_i| ^p\right)^{\frac{1}{p}} \} `` |
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+ | [ ` NormCone(p, d) ` ] (@ref MathOptInterface.NormCone) | `` \{ (t,x) \in \mathbb{R}^{d} : t \ge \left(\sum\limits_i \lvert x_i \rvert ^p\right)^{\frac{1}{p}} \} `` |
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## Matrix cones
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