List questions from optimization

Published on 12 Apr 2026 - 14:04

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Maximize $f(x,y)=xy$ subject to $x^2-yx+y^2 = 1$

Published on 25 Mar 2026 - 6:04

52

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A condition for a function of the form $\langle x, F(x)\rangle$ to attain its minimum

Published on 27 Mar 2026 - 7:14

176

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Prove that $1- x^T Qx- b^Tx$ is not convex

Published on 27 Mar 2026 - 8:55

114

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Using the Lagrange Multipliers Method to prove $\ |h(x,y)|\leq 1$

Published on 11 Apr 2026 - 20:03

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Question on bilinear programming

Published on 05 Apr 2026 - 16:45

113

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Find the minimizer of $A=12a+13b+11c$

Published on 25 Mar 2026 - 6:05

78

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Given that $f(\cdot)$ is a convex function of $(x_1,\cdots,x_n)\in\mathbb{R}^n_+$, is Problem $\mathbf{P}$ convex?

Published on 27 Mar 2026 - 8:56

304

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Choquet's and Birkhoff's theorem for min-max discrete optimization problems

Published on 09 Apr 2026 - 3:57

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Maximum Likelihood Estimator (MLE) of $ \theta $ for the PDF $ f( x; \theta) = \frac{1}{2}(1+\theta x)$

Published on 25 Mar 2026 - 6:58

1.3k

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How to apply KKT conditions (to minimization) to solve maximization problem?

Published on 25 Mar 2026 - 18:55

56

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Numerical Solution to Hamilton-Jacobi-Bellman

Published on 09 Apr 2026 - 0:53

165

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Does a constrained nonlinear program only have one KKT point?

Published on 25 Mar 2026 - 18:52

70

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Why are the solutions of the $3\times 3$ system like that?

Published on 25 Mar 2026 - 3:02

44

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Will this algorithm converge? If so, why?

Published on 12 Apr 2026 - 14:33

List Question

Understanding shifting of matches in a circle

Maximize $f(x,y)=xy$ subject to $x^2-yx+y^2 = 1$

A condition for a function of the form $\langle x, F(x)\rangle$ to attain its minimum

Prove that $1- x^T Qx- b^Tx$ is not convex

Using the Lagrange Multipliers Method to prove $\ |h(x,y)|\leq 1$

Question on bilinear programming

Find the minimizer of $A=12a+13b+11c$

Given that $f(\cdot)$ is a convex function of $(x_1,\cdots,x_n)\in\mathbb{R}^n_+$, is Problem $\mathbf{P}$ convex?

Choquet's and Birkhoff's theorem for min-max discrete optimization problems

Maximum Likelihood Estimator (MLE) of $ \theta $ for the PDF $ f( x; \theta) = \frac{1}{2}(1+\theta x)$

How to apply KKT conditions (to minimization) to solve maximization problem?

Numerical Solution to Hamilton-Jacobi-Bellman

Does a constrained nonlinear program only have one KKT point?

Why are the solutions of the $3\times 3$ system like that?

Will this algorithm converge? If so, why?

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