List questions from nonlinear-optimization

Published on 23 Feb 2026 - 15:03

122

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$a+b+c=10, a,b,c>0$. What is the maximum value for abc?

Published on 17 Mar 2023 - 18:21

36

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Does there exist a relationship between Lagrangian Duels of Non-Linear Models and Karush-Kuhn-Tucker Optimality Conditions?

Published on 26 Mar 2026 - 17:34

103

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Saddle point in a non-convex objective function

Published on 26 Mar 2026 - 2:53

93

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Using the Hessian to determine convexity of $f(x,y) = \ln(x + y)$

Published on 29 Mar 2026 - 8:14

41

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A question related with $p$-Laplacian and conjugate gradient method.

Published on 24 Feb 2026 - 11:56

36

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Single objective optimization with $n$ independent variables

Published on 29 Mar 2023 - 15:54

189

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Show that $x^2 + 3\sin^2 x$ satisfies the Polyak–Łojasiewicz condition

Published on 02 Apr 2026 - 6:08

47

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Find a not coercive function $f: \mathbb{R}^2 \to \mathbb{R}$ which satisfies: $\lim_{|x_1| \to \infty} {f(x_1, \alpha x_1)} = \infty$

Published on 23 Feb 2026 - 22:52

30

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Can a one variable function $g(x)=0$ be a continous curve?

Published on 02 Apr 2023 - 17:39

106

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QP formulation of the LCP — KKT conditions

Published on 26 Mar 2026 - 17:35

73

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Solving a regularized linear least squares problem using only matrix-vector products $Ax$ and $A^Tx$

Published on 09 Apr 2023 - 15:48

81

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Is it possible to reformulate this optimization problem as a geometric program?

Published on 23 Feb 2026 - 5:22

117

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Finding the optimal adjacency matrix

Published on 25 Mar 2026 - 12:47

138

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Maximize $\sum\limits_{\mathrm{cyc}} a$ for $a^2+b^2+c^2+d^2+a+3b+5c+7d=4$

Published on 15 Apr 2023 - 9:59

List Question

Specific integral $u$ to create the same minimizaton problem

$a+b+c=10, a,b,c>0$. What is the maximum value for abc?

Does there exist a relationship between Lagrangian Duels of Non-Linear Models and Karush-Kuhn-Tucker Optimality Conditions?

Saddle point in a non-convex objective function

Using the Hessian to determine convexity of $f(x,y) = \ln(x + y)$

A question related with $p$-Laplacian and conjugate gradient method.

Single objective optimization with $n$ independent variables

Show that $x^2 + 3\sin^2 x$ satisfies the Polyak–Łojasiewicz condition

Find a not coercive function $f: \mathbb{R}^2 \to \mathbb{R}$ which satisfies: $\lim_{|x_1| \to \infty} {f(x_1, \alpha x_1)} = \infty$

Can a one variable function $g(x)=0$ be a continous curve?

QP formulation of the LCP — KKT conditions

Solving a regularized linear least squares problem using only matrix-vector products $Ax$ and $A^Tx$

Is it possible to reformulate this optimization problem as a geometric program?

Finding the optimal adjacency matrix

Maximize $\sum\limits_{\mathrm{cyc}} a$ for $a^2+b^2+c^2+d^2+a+3b+5c+7d=4$

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