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Deriving the gradient of the Augmented Lagrangian dual

score 270 · Answer 1 · 2026-03-29 13:57:54

270

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Deriving the gradient of the Augmented Lagrangian dual

Published on 29 Mar 2026 - 13:57

score 301 · Answer 2 · 2026-04-03 08:08:27

301

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KKT Condition and Global Optimal

Published on 03 Apr 2026 - 8:08

score 77 · Answer 3 · 2026-03-25 01:20:27

77

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Let ${\{x^k\}}^{\infty}_{k=1}$ $\subset R^n$ be a convergent sequence, prove that there exists $B > 0$ such that $∥x^k∥ ≤ B$ for all $k$.

Published on 25 Mar 2026 - 1:20

score 1.7k · Answer 4 · 2026-04-02 07:24:19

1.7k

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What is the purpose of an oracle in optimization?

Published on 02 Apr 2026 - 7:24

score 146 · Answer 5 · 2026-04-05 15:24:21

146

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Give the cutting-plane proof of $\sum\limits_{i,j = 1}^4 x_{ij} \leq 9$.

Published on 05 Apr 2026 - 15:24

score 799 · Answer 6 · 2026-04-02 08:03:47

799

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correctness for minimizing average completition time for scheduling problem with release times

Published on 02 Apr 2026 - 8:03

score 55 · Answer 7 · 2026-04-02 05:16:28

55

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What do you call iteratively optimizing w.r.t. various groups of variables?

Published on 02 Apr 2026 - 5:16

score 50 · Answer 8 · 2026-04-03 15:45:56

50

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Suppose $f:R^n \to R$ is differentiable. Let $d\in R^n$ with $∥d∥ = 1,$ show that $⟨∇f (x), d⟩ ≥ −∥∇f (x)∥.$

Published on 03 Apr 2026 - 15:45

score 209 · Answer 9 · 2026-04-03 13:31:15

209

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Let $f(x) = x^\top Q \, x$, where $Q \in \mathbb R^{n×n}$ is NOT symmetric. Show that the Hessian is $H_f (x) = Q + Q^\top$

Published on 03 Apr 2026 - 13:31

score 310 · Answer 10 · 2026-04-02 06:07:53

310

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Rewrite an Optimization problem for $\textrm {min } \:\textrm {max} \{f_1, \dots, f_N\}$

Published on 02 Apr 2026 - 6:07

score 71 · Answer 11 · 2026-04-01 22:51:22

71

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An assignment for kids (Water in a container) leads to an optimization problem

Published on 01 Apr 2026 - 22:51

score 176 · Answer 12 · 2026-04-03 03:53:42

176

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Stochastic decision problem with normal distribution

Published on 03 Apr 2026 - 3:53

score 461 · Answer 13 · 2026-03-25 11:09:00

461

Views

Just need a clarification on the optimization problem

Published on 25 Mar 2026 - 11:09

score 8k · Answer 14 · 2026-03-30 12:22:32

8k

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sublinear rate of convergence in mathematical optimization

Published on 30 Mar 2026 - 12:22

score 42 · Answer 15 · 2026-04-01 09:36:54

42

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Prove that any Nonlinear program can be written in the form...

Published on 01 Apr 2026 - 9:36

List Question

Deriving the gradient of the Augmented Lagrangian dual

KKT Condition and Global Optimal

Let ${\{x^k\}}^{\infty}_{k=1}$ $\subset R^n$ be a convergent sequence, prove that there exists $B > 0$ such that $∥x^k∥ ≤ B$ for all $k$.

What is the purpose of an oracle in optimization?

Give the cutting-plane proof of $\sum\limits_{i,j = 1}^4 x_{ij} \leq 9$.

correctness for minimizing average completition time for scheduling problem with release times

What do you call iteratively optimizing w.r.t. various groups of variables?

Suppose $f:R^n \to R$ is differentiable. Let $d\in R^n$ with $∥d∥ = 1,$ show that $⟨∇f (x), d⟩ ≥ −∥∇f (x)∥.$

Let $f(x) = x^\top Q \, x$, where $Q \in \mathbb R^{n×n}$ is NOT symmetric. Show that the Hessian is $H_f (x) = Q + Q^\top$

Rewrite an Optimization problem for $\textrm {min } \:\textrm {max} \{f_1, \dots, f_N\}$

An assignment for kids (Water in a container) leads to an optimization problem

Stochastic decision problem with normal distribution

Just need a clarification on the optimization problem

sublinear rate of convergence in mathematical optimization

Prove that any Nonlinear program can be written in the form...

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