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]