Re: maximization with array of constraints

*To*: mathgroup at smc.vnet.net*Subject*: [mg128373] Re: maximization with array of constraints*From*: felipe.benguria at gmail.com*Date*: Thu, 11 Oct 2012 02:06:47 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*: <k434cf$ne5$1@smc.vnet.net>

Thank you very much for all your help, this was really helpful. felipe El jueves, 27 de septiembre de 2012 23:10:29 UTC-4, Dana DeLouis escribi=F3: > > .. if mydata is an array with two columns and 100 rows, I would have 100 constraints, which are too many to enter manually. > > > > > .. x*mydata[[1,row,1]] + y*mydata[[1,row,2]] >0 > > > > Hi. If I understood your question correctly, here is one idea: > > (* Make sure your MyFunction is not unbounded *) > > > > mydata=RandomInteger[{1,9},{10,2}] > > > > {{7,8},{9,4},{5,7},{4,3},{2,2},{2,7},{8,5},{9,1},{6,5},{5,7}} > > > > const = Thread[mydata.{x,y}>0] > > > > { > > 7 x+8 y>0, > > 9 x+4 y>0, > > 5 x+7 y>0, > > 4 x+3 y>0, > > 2 x+2 y>0, > > 2 x+7 y>0, > > 8 x+5 y>0, > > 9 x+y>0, > > 6 x+5 y>0, > > 5 x+7 y>0 > > } > > > > MyFunction[x_,y_]:=-3x^2-4y+3 > > > > NMaximize[{MyFunction[x,y],const}, {x,y} ] > > > > {3.10884, {x->0.190508,y->-0.0544307} } > > > > = = = = = = = = = = > > HTH :>) > > Dana DeLouis > > Mac & Mathematica 8 > > = = = = = = = = = = > > > > > > > > > > On Thursday, September 27, 2012 3:14:09 AM UTC-4, Felipe wrote: > > > Hi, > > > > > > > > > > > > I am trying to maximize a function using NMaximize and I have a large list of constraints that I would like to write with a loop or as an array. > > > > > > > > > > > > It looks like the following: > > > > > > > > > > > > NMaximize[{myfunction[x,y] , x*mydata[[1,row,1]] + y*mydata[[1,row,2]]>0 }] > > > > > > > > > > > > and I want the restriction to be valid for the numbers in each row of the "mydata" array. That is, if mydata is an array with two columns and 100 rows, I would have 100 constraints, which are too many to enter manually. > > > > > > Can I write a loop for the constraints inside NMaximize ? Do you have some suggestion on how to write this? I was not able to find it in earlier posts. > > > > > > > > > > > > Thank you very much for your help > > > > > > Felipe