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]