Timeline for Clarification about this optimisation problem
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 5 at 12:55 | comment | added | Iosif Pinelis | @RedBordeaux : You cannot use Kuhn--Tucker here, because the convexity condition Kuhn--Tucker requires do not hold here. | |
| Apr 4 at 18:51 | comment | added | Red Bordeaux | Perhaps I should consider Fritz John conditions. One more multiplier directly into the object function would solve things. Having indeed $-2T(x-2) - 3\lambda x^2 = 0$ returns $T = 0$ for $x = 0$, and we are done. | |
| Apr 4 at 18:31 | comment | added | Red Bordeaux | Sorry to bother again, this unsolved conundrum makes me really sleepless. How would one attack this problem if he had to use Kuhn-Tucker or related conditions? I'm talking always about the fact that $x = 0$ fails the first equation of the gradient (it makes $4 = 0$) | |
| Apr 3 at 6:57 | comment | added | Red Bordeaux | Your answer is really clear! I just asked because the text of the exercise says "justify why the solution doesn't meet/verify Kuhn-Tucker conditions". So initially I thought it were because of the non qualification of the constraints (see the Jacobian), but then I also noticed $\nabla L$ fails at $(0, 0)$... | |
| Apr 3 at 0:44 | comment | added | Iosif Pinelis | @RedBordeaux : You do not have to deal here with $\nabla$ or Kuhn--Tucker. The solution in the above answer is much more elementary. If anything in this answer seems unclear, please let me know. | |
| Apr 2 at 23:00 | comment | added | Red Bordeaux | Just a thing keeps tormenting me: since the solution is the point $(0, 0)$, how can I justify its validity considering what I wrote on my fifth thought, that is: $(0, 0)$ makes impossible the system $\nabla L = 0$? | |
| Apr 2 at 22:58 | vote | accept | Red Bordeaux | ||
| Apr 2 at 21:23 | comment | added | Iosif Pinelis | @RedBordeaux : Thank you for your appreciation. In such a case, these guidleines may be relevant. | |
| Apr 2 at 17:43 | comment | added | Red Bordeaux | I really appreciate this, thank you!! | |
| Apr 2 at 16:56 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
deleted 4 characters in body
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| Apr 2 at 16:47 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |