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MathGroup Archive 2009

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Re: Help with Recursive Minimization

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98540] Re: Help with Recursive Minimization
  • From: Raffy <raffy at mac.com>
  • Date: Sun, 12 Apr 2009 03:46:54 -0400 (EDT)
  • References: <grpiai$lim$1@smc.vnet.net>

On Apr 11, 12:53 am, owen <owenqu... at hotmail.com> wrote:
> Hi,
>
> I tried to minimize a function which itself is a minimum value function. =
 I can plot the function, but cannot get a numerical solution:
>
> V1[y_] := Minimize[{0.5 x, x >= 2, x >= y}, {x}][[1]];
> Plot[ V1[y] + 3/y, {y, 1, 5}]
> Minimize[  V1[y] + 3/y, {y, 1, 5}]
>
> Appreciate your help
> Owen

Minimize[{0.5 x, x >= 2, x >= y}, {x}][[1]] is the same as: Max[2,
y] / 2

=> First@Minimize[{Max[2, y]/2 + 3/y, 1 <= y <= 5}, y]

=> Sqrt[6]


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