List questions from lagrange-multiplier

Published on 11 Apr 2026 - 17:31

138

Views

Find the Lagrangian dual solution for the primal $\min_{x,y,z}(x+y-z)$ subject to $x-y-3z=1$ and $x,y,z\ge0$

Published on 19 Feb 2022 - 12:47

139

Views

Is the monotonicity of $f$ needed for Lagrange multiplier to be used?

Published on 10 Apr 2026 - 2:23

214

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Largest possible value of $c$

Published on 10 Apr 2026 - 22:05

50

Views

Lagrange multiplier and solution with $i$ entry on constrained optimization.

Published on 23 Feb 2022 - 13:52

70

Views

Intuition for the variables $x_i$ that minimise $\sum_i a_i x_i^2$ with constraint $\sum_i x_i = 1$

Published on 07 Apr 2026 - 16:18

80

Views

Is the region not compact?

Published on 09 Apr 2026 - 2:51

63

Views

Lagrange Multiplierd for Economics

Published on 10 Apr 2026 - 23:04

144

Views

Maximizing the volume of a cuboid with constraints (lagrange) fails?

Published on 10 Apr 2026 - 22:13

409

Views

Closed form solution for a quadratic program in matrix form with inequality constraint

Published on 10 Apr 2026 - 18:39

72

Views

Proving a rectangle of constrained perimeter achieves a maximum area

Published on 01 Mar 2022 - 16:24

398

Views

Minimize $xy$ over $x^2+y^2+z^2=7$ and $xy+xz+yz=4$.

Published on 02 Mar 2022 - 2:13

633

Views

Find the maximum of $x^2y$ subject to $x^2+2y^2=6$

Published on 02 Mar 2022 - 22:21

42

Views

Volume of Rectangle with Corner on Plane (Lagrange Multipliers)

Published on 11 Apr 2026 - 10:01

74

Views

Minimize difference with constraint that the variable is nonnegative

Published on 12 Mar 2022 - 4:46

List Question

A (simple?) optimization question

Find the Lagrangian dual solution for the primal $\min_{x,y,z}(x+y-z)$ subject to $x-y-3z=1$ and $x,y,z\ge0$

Is the monotonicity of $f$ needed for Lagrange multiplier to be used?

Largest possible value of $c$

Lagrange multiplier and solution with $i$ entry on constrained optimization.

Intuition for the variables $x_i$ that minimise $\sum_i a_i x_i^2$ with constraint $\sum_i x_i = 1$

Is the region not compact?

Lagrange Multiplierd for Economics

Maximizing the volume of a cuboid with constraints (lagrange) fails?

Closed form solution for a quadratic program in matrix form with inequality constraint

Proving a rectangle of constrained perimeter achieves a maximum area

Minimize $xy$ over $x^2+y^2+z^2=7$ and $xy+xz+yz=4$.

Find the maximum of $x^2y$ subject to $x^2+2y^2=6$

Volume of Rectangle with Corner on Plane (Lagrange Multipliers)

Minimize difference with constraint that the variable is nonnegative

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