From 9b6a92906ca04e114d434e870a7987711fd833df Mon Sep 17 00:00:00 2001 From: Oscar Dowson Date: Mon, 23 Oct 2023 09:59:19 +1300 Subject: [PATCH 1/2] [docs] fix NormCone description in standard_form.md --- docs/src/manual/standard_form.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/src/manual/standard_form.md b/docs/src/manual/standard_form.md index 2096dda8a1..bb433f08b5 100644 --- a/docs/src/manual/standard_form.md +++ b/docs/src/manual/standard_form.md @@ -81,7 +81,7 @@ The vector-valued set types implemented in MathOptInterface.jl are: | [`NormInfinityCone(d)`](@ref MathOptInterface.NormInfinityCone) | ``\{ (t,x) \in \mathbb{R}^{d} : t \ge \max_i \lvert x_i \rvert \}`` | | [`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 \}`` | | [`HyperRectangle(l, u)`](@ref MathOptInterface.HyperRectangle) | ``\{x \in \bar{\mathbb{R}}^d: x_i \in [l_i, u_i] \forall i=1,\ldots,d\}`` | -| [`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}} \}`` | +| [`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}} \}`` | ## Matrix cones From 8e44246727d9c6c31ed3479539693abdf5b1dd84 Mon Sep 17 00:00:00 2001 From: Oscar Dowson Date: Mon, 23 Oct 2023 10:55:47 +1300 Subject: [PATCH 2/2] Update standard_form.md --- docs/src/manual/standard_form.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/docs/src/manual/standard_form.md b/docs/src/manual/standard_form.md index bb433f08b5..57b8a8e2d2 100644 --- a/docs/src/manual/standard_form.md +++ b/docs/src/manual/standard_form.md @@ -76,7 +76,7 @@ The vector-valued set types implemented in MathOptInterface.jl are: | [`DualExponentialCone()`](@ref MathOptInterface.DualExponentialCone) | ``\{ (u,v,w) \in \mathbb{R}^3 : -u \exp (v/u) \le \exp(1) w, u < 0 \}`` | | [`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`` | | [`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 \}`` | -| [`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 \}`` | +| [`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 \}`` | | [`NormOneCone(d)`](@ref MathOptInterface.NormOneCone) | ``\{ (t,x) \in \mathbb{R}^{d} : t \ge \sum_i \lvert x_i \rvert \}`` | | [`NormInfinityCone(d)`](@ref MathOptInterface.NormInfinityCone) | ``\{ (t,x) \in \mathbb{R}^{d} : t \ge \max_i \lvert x_i \rvert \}`` | | [`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 \}`` |