Question

Minimize $f(a,b,c) = \dfrac{1}{a²+b²+c²} +\dfrac{1}{9abc}$ subject to $a+b+c=1$ and $a,b,c>0$

score 100 · Answer 1 · 2022-08-19 04:50:07

100

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Minimize $f(a,b,c) = \dfrac{1}{a²+b²+c²} +\dfrac{1}{9abc}$ subject to $a+b+c=1$ and $a,b,c>0$

Published on 19 Aug 2022 - 4:50

score 67 · Answer 2 · 2026-04-11 11:20:38

67

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Maximizing summation function with variable in index and in upper bound

Published on 11 Apr 2026 - 11:20

score 52 · Answer 3 · 2022-08-22 12:11:33

52

Views

Solve linear PDE: $(x^2+y^2+yz)p+(x^2+y^2-yz)q=z(x+y)$ by Lagrange's method

Published on 22 Aug 2022 - 12:11

score 86 · Answer 4 · 2026-04-11 02:07:52

86

Views

Minimize a functional with constraint

Published on 11 Apr 2026 - 2:07

score 363 · Answer 5 · 2022-08-24 07:48:19

363

Views

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Published on 24 Aug 2022 - 7:48

score 142 · Answer 6 · 2026-04-10 21:15:57

142

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Practical questions on why solve an optimal control problem with the HJB equations rather than the state/adjoint approach?

Published on 10 Apr 2026 - 21:15

score 229 · Answer 7 · 2026-04-11 07:14:32

229

Views

Why does linear independence constraint qualification guarantee KKT conditions met?

Published on 11 Apr 2026 - 7:14

score 69 · Answer 8 · 2026-04-11 22:16:35

69

Views

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Published on 11 Apr 2026 - 22:16

score 52 · Answer 9 · 2026-04-10 20:53:11

52

Views

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Published on 10 Apr 2026 - 20:53

score 75 · Answer 10 · 2026-04-11 21:10:21

75

Views

How the Lagrangian is obtained in the given example?

Published on 11 Apr 2026 - 21:10

score 43 · Answer 11 · 2026-04-11 23:04:18

43

Views

How the following closed form expression is obtained?

Published on 11 Apr 2026 - 23:04

score 170 · Answer 12 · 2026-04-02 09:17:38

170

Views

Find the minimum of $xy+yz+zx+\frac1x+\frac2y+\frac5z$ for $x, y, z > 0$

Published on 02 Apr 2026 - 9:17

score 24 · Answer 13 · 2026-04-11 06:44:32

24

Views

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Published on 11 Apr 2026 - 6:44

score 125 · Answer 14 · 2026-04-10 14:41:30

125

Views

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Published on 10 Apr 2026 - 14:41

score 53 · Answer 15 · 2022-09-10 16:13:01

53

Views

Find the global minimum of $f(\textbf{x})$ on $D=\left\{\textbf{x}\mid \|\textbf{x}\|^2\leq R^2 \right\}$

Published on 10 Sep 2022 - 16:13

List Question

Minimize $f(a,b,c) = \dfrac{1}{a²+b²+c²} +\dfrac{1}{9abc}$ subject to $a+b+c=1$ and $a,b,c>0$

Maximizing summation function with variable in index and in upper bound

Solve linear PDE: $(x^2+y^2+yz)p+(x^2+y^2-yz)q=z(x+y)$ by Lagrange's method

Minimize a functional with constraint

Minimum/Maximum of a quadratic function of two variables subject to a quadratic constraint

Practical questions on why solve an optimal control problem with the HJB equations rather than the state/adjoint approach?

Why does linear independence constraint qualification guarantee KKT conditions met?

How to solve this non-linear equations?

How the Lagrangian function is obtained?

How the Lagrangian is obtained in the given example?

How the following closed form expression is obtained?

Find the minimum of $xy+yz+zx+\frac1x+\frac2y+\frac5z$ for $x, y, z > 0$

Maximization using Lagrange multiplier when one constraint is homogenous

Question on Lagrangian Method

Find the global minimum of $f(\textbf{x})$ on $D=\left\{\textbf{x}\mid \|\textbf{x}\|^2\leq R^2 \right\}$

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