List questions from convex-analysis

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Sublevel sets of concave function

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Easy way to check if multi-variable function is convex

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Example of Linear-fractional function

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Cone of polynomials nonnegative on [0,1] is a proper cone.

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Use the definition of convexity to show that $A$ is a convex set.

Published on 11 Apr 2026 - 7:56

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Dual Problem of Projection onto the $ {L}_{1} $ Ball

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Cone and Dual Cone in $\mathbb{R}^2$ space

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Proving that Lexicographic cone is not a closed cone

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Dual cone of the lexicographic cone

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Show that Polar of a set is convex

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Finding dual cone of general cones

Published on 10 Apr 2026 - 20:26

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What kind of optimization problem is $f(x) = \frac{1}{2}x^TAy$

Published on 11 Apr 2026 - 6:03

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Upper bound for the sum of positive numbers

Published on 10 Apr 2026 - 4:26

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about convexity

Published on 09 Apr 2026 - 20:55

List Question

Mapping a convex set to another convex set

Sublevel sets of concave function

Easy way to check if multi-variable function is convex

Example of Linear-fractional function

Cone of polynomials nonnegative on [0,1] is a proper cone.

Use the definition of convexity to show that $A$ is a convex set.

Dual Problem of Projection onto the $ {L}_{1} $ Ball

Cone and Dual Cone in $\mathbb{R}^2$ space

Proving that Lexicographic cone is not a closed cone

Dual cone of the lexicographic cone

Show that Polar of a set is convex

Finding dual cone of general cones

What kind of optimization problem is $f(x) = \frac{1}{2}x^TAy$

Upper bound for the sum of positive numbers

about convexity

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