List questions from nonlinear-optimization

Published on 29 Mar 2026 - 14:17

101

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Lagrange Multipliers and Unfeasible Constraints

Published on 25 Mar 2026 - 4:39

59

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Give example of functions $f, g : \Bbb R \to \Bbb R$ such that $f(x)$ is convex, $g(x)$ is increasing and $h(x)=g(f(x))$ is not convex

Published on 29 Mar 2026 - 4:47

190

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Analytical solution of a non convex function optimization

Published on 26 Mar 2026 - 20:26

160

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Maximize a sum of posynomials

Published on 26 Mar 2026 - 20:25

73

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Explain what happens if you use KKT to solve this problem

Published on 29 Mar 2026 - 5:54

232

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$\min \frac{1}{2}x^tBx + c^tx$ subject to $Ax = b$ has unique solution $\iff$ $z^tBz>0$ for all $z\in \ker A, z\neq 0$

Published on 28 Mar 2026 - 16:57

142

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What is minimum distance between $y = (y_1,y_2)$ and the curve $f(x) = 1/x$?

Published on 29 Mar 2026 - 6:37

202

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Equivalence of two Lagrangian Optimization Problems with equal restrictions

Published on 28 Mar 2026 - 21:11

71

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How to solve this Non linear optimization problem?

Published on 29 Mar 2026 - 9:40

74

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Bounding using Kantorovich inequality

Published on 29 Mar 2026 - 5:47

41

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Solving a non-linear program $\min x + y^p$

Published on 28 Mar 2026 - 17:03

113

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Maximise $z = \frac{y}{2x+2y}+\frac{50-y}{200-2x-2y}$ given that $x+y$ is non zero and $x+y<100$. Also, $x\leq50$ and $y\leq50$ and non-negative.

Published on 26 Mar 2026 - 4:24

86

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Can KKT be used in minimization s.t to constant param

Published on 29 Mar 2026 - 4:42

408

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What is the logarithmic transformation of this optimization problem?

Published on 29 Mar 2026 - 2:34

List Question

Separability of Constrained Optimization

Lagrange Multipliers and Unfeasible Constraints

Give example of functions $f, g : \Bbb R \to \Bbb R$ such that $f(x)$ is convex, $g(x)$ is increasing and $h(x)=g(f(x))$ is not convex

Analytical solution of a non convex function optimization

Maximize a sum of posynomials

Explain what happens if you use KKT to solve this problem

$\min \frac{1}{2}x^tBx + c^tx$ subject to $Ax = b$ has unique solution $\iff$ $z^tBz>0$ for all $z\in \ker A, z\neq 0$

What is minimum distance between $y = (y_1,y_2)$ and the curve $f(x) = 1/x$?

Equivalence of two Lagrangian Optimization Problems with equal restrictions

How to solve this Non linear optimization problem?

Bounding using Kantorovich inequality

Solving a non-linear program $\min x + y^p$

Maximise $z = \frac{y}{2x+2y}+\frac{50-y}{200-2x-2y}$ given that $x+y$ is non zero and $x+y<100$. Also, $x\leq50$ and $y\leq50$ and non-negative.

Can KKT be used in minimization s.t to constant param

What is the logarithmic transformation of this optimization problem?

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