List questions from optimization

Published on 12 Apr 2026 - 9:31

271

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The real numbers $x,y$ and $z$ are such that $x-7y+8z=4$ and $8x+4y-z=7$. What is the maximum value $x^2-y^2+z^2?$

Published on 15 Apr 2026 - 12:36

276

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How to minimise given function?

Published on 09 Apr 2026 - 11:46

770

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Is it true that the subdifferential is empty if and only if $f$ is infinite?

Published on 15 Apr 2026 - 5:23

103

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Group $n$ numbers in $\mathbb{R}$ into $k$ clusters

Published on 14 Apr 2026 - 14:57

112

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Calculating the minimum number of extra votes a presidential candidate would need to flip an election

Published on 11 May 2026 - 3:17

120

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Linear programming solution

Published on 10 Apr 2026 - 4:33

83

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Circular Area maximising with polygons included. Help?

Published on 15 Apr 2026 - 23:38

45

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Optimization problem with inequality constraints

Published on 09 Apr 2026 - 21:27

25

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Solving $n(x-\bar x)=\sum_{i=1}^nd_i{\frac{x-x_i}{|| (x,y)-(x_i,y_i)||}}$ and $n(y-\bar y)=\sum_{i=1}^nd_i{ \frac{y-y_i}{||(x,y)-(x_i,y_i)||}}$

Published on 15 Apr 2026 - 22:20

1.7k

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Maximizing volume of a box

Published on 14 Apr 2026 - 12:36

132

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Optimize Minimal Distance Separating a Convex Set from an Outer Point

Published on 16 Apr 2026 - 7:16

173

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Lyapunov Optimization

Published on 10 May 2026 - 18:46

202

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Convexity of "perturbed" convex function

Published on 11 Apr 2026 - 5:55

45

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when fix $a^2b+b^2a$,the minimal value of $a^2+ab+b^2$ occurs when $1\in\{a\}\bigcup\{b\}$

Published on 14 Apr 2026 - 16:51

List Question

subgradient of composition

The real numbers $x,y$ and $z$ are such that $x-7y+8z=4$ and $8x+4y-z=7$. What is the maximum value $x^2-y^2+z^2?$

How to minimise given function?

Is it true that the subdifferential is empty if and only if $f$ is infinite?

Group $n$ numbers in $\mathbb{R}$ into $k$ clusters

Calculating the minimum number of extra votes a presidential candidate would need to flip an election

Linear programming solution

Circular Area maximising with polygons included. Help?

Optimization problem with inequality constraints

Solving $n(x-\bar x)=\sum_{i=1}^nd_i{\frac{x-x_i}{|| (x,y)-(x_i,y_i)||}}$ and $n(y-\bar y)=\sum_{i=1}^nd_i{ \frac{y-y_i}{||(x,y)-(x_i,y_i)||}}$

Maximizing volume of a box

Optimize Minimal Distance Separating a Convex Set from an Outer Point

Lyapunov Optimization

Convexity of "perturbed" convex function

when fix $a^2b+b^2a$,the minimal value of $a^2+ab+b^2$ occurs when $1\in\{a\}\bigcup\{b\}$

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