List questions from duality-theorems

Published on 18 Mar 2024 - 21:33

14

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Why is the Cartesian product of second-order cones self-dual?

Published on 23 Feb 2026 - 6:59

15

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Is the multiplier of the primal problem equal to the solution of the dual problem if strong duality holds and the solution of primal is unique?

Published on 04 Mar 2026 - 16:18

24

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Given the primal, turn it into the dual (LP)

Published on 28 Mar 2024 - 7:48

48

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When performing the "opposite" operation in a category, can you reverse arrows that are part of an object's definition?

Published on 25 Mar 2026 - 6:13

97

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Exercise 3.F.29(a) in "Linear Algebra Done Right 4th Edition" by Sheldon Axler.

Published on 31 Mar 2024 - 18:33

533

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Dual Decomposition with multiple coupling constraints

Published on 12 Jan 2015 - 1:44

49

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What decides the structure of the dual variables taken in designing min-max type combinatorial optimization algorithms?

Published on 17 Jan 2015 - 10:23

279

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Primal of Dual of LP problem

Published on 17 Jan 2015 - 15:01

289

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Dual cone of $K = \{(x,t) \mid \| \boldsymbol{x} \|_1 \le t \}$

Published on 25 Mar 2026 - 4:58

1.5k

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Show both relaxations of boolean LP give equal lower bounds

Published on 20 Jan 2015 - 5:21

42

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Dual formulation of weak $L^p$

Published on 01 Feb 2015 - 18:11

123

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Legendre Transform of this function

Published on 02 Feb 2015 - 22:54

1k

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dual of $L^\infty$ or $l^{\infty}$ spaces and characters of these spaces

Published on 12 Feb 2015 - 7:34

1.5k

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Dual space of weighted $L^p(\omega)$

Published on 12 Feb 2015 - 18:31

List Question

Cannot find the dual function

Why is the Cartesian product of second-order cones self-dual?

Is the multiplier of the primal problem equal to the solution of the dual problem if strong duality holds and the solution of primal is unique?

Given the primal, turn it into the dual (LP)

When performing the "opposite" operation in a category, can you reverse arrows that are part of an object's definition?

Exercise 3.F.29(a) in "Linear Algebra Done Right 4th Edition" by Sheldon Axler.

Dual Decomposition with multiple coupling constraints

What decides the structure of the dual variables taken in designing min-max type combinatorial optimization algorithms?

Primal of Dual of LP problem

Dual cone of $K = \{(x,t) \mid \| \boldsymbol{x} \|_1 \le t \}$

Show both relaxations of boolean LP give equal lower bounds

Dual formulation of weak $L^p$

Legendre Transform of this function

dual of $L^\infty$ or $l^{\infty}$ spaces and characters of these spaces

Dual space of weighted $L^p(\omega)$

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