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How to maximize function $\sum_{i=1}^{\omega}\max(0, \log(x_i))$ under the constraint that $\sum_{i=1}^{\omega}x_i = S$

score 325 · Answer 1 · 2026-03-20 08:45:32

325

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How to maximize function $\sum_{i=1}^{\omega}\max(0, \log(x_i))$ under the constraint that $\sum_{i=1}^{\omega}x_i = S$

Published on 20 Mar 2026 - 8:45

score 81 · Answer 2 · 2026-03-24 02:51:15

81

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score 147 · Answer 3 · 2026-03-24 03:32:32

147

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score 3.8k · Answer 4 · 2026-03-24 11:00:01

3.8k

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score 269 · Answer 5 · 2026-03-19 23:27:28

269

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score 567 · Answer 6 · 2026-03-20 00:10:10

567

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score 77 · Answer 7 · 2026-03-24 08:15:17

77

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How do we determine whether we are getting the minimum value or the maximum value of a function using lagrange...

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score 244 · Answer 8 · 2026-03-21 19:28:09

244

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Find the points that are closest and farthest from $(0,0)$ on the curve $3x^2-2xy+2y^2=5$

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score 857 · Answer 9 · 2026-03-22 02:27:04

857

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score 151 · Answer 10 · 2026-03-24 06:43:01

151

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score 382 · Answer 11 · 2026-03-23 15:04:25

382

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Linear Matrix Least Squares with Linear Equality Constraint - Minimize $ {\left\| A - B \right\|}_{F}^{2} $ Subject to $ B x = v $

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score 681 · Answer 12 · 2026-03-20 03:09:18

681

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What goes wrong when I use squared constraint as a Lagrange multiplier?

Published on 20 Mar 2026 - 3:09

score 794 · Answer 13 · 2026-03-22 11:33:11

794

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Published on 22 Mar 2026 - 11:33

score 229 · Answer 14 · 2026-03-20 03:09:39

229

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score 48 · Answer 15 · 2026-03-20 04:25:46

48

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List Question

How to maximize function $\sum_{i=1}^{\omega}\max(0, \log(x_i))$ under the constraint that $\sum_{i=1}^{\omega}x_i = S$

Extrema of multivalued function with constraint

simple optimization with inequality restrictions

Using a Lagrange multiplier to handle an inequality constraint

Deriving the gradient of the Augmented Lagrangian dual

Lagrange multiplier for the Stokes equations

How do we determine whether we are getting the minimum value or the maximum value of a function using lagrange...

Find the points that are closest and farthest from $(0,0)$ on the curve $3x^2-2xy+2y^2=5$

Generalized Lagrange Multiplier Theorem.

Lagrangian multipliers with inequality constraints

Linear Matrix Least Squares with Linear Equality Constraint - Minimize $ {\left\| A - B \right\|}_{F}^{2} $ Subject to $ B x = v $

What goes wrong when I use squared constraint as a Lagrange multiplier?

Derivative of norm of difference between two vectors

Find the maximum value of $ax+ by$

How can I find the dual problem to the following convex problem?

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