NMINIMIZATION WITH COMPLEX CONJUGATE

*To*: mathgroup at smc.vnet.net*Subject*: [mg112829] NMINIMIZATION WITH COMPLEX CONJUGATE*From*: tarun dutta <tarunduttaz at gmail.com>*Date*: Sat, 2 Oct 2010 05:45:12 -0400 (EDT)

I want to nminimize a function which contain a variable like x[i] and also its conjugate i.e.x[i]* where ''i'' can vary from 0 to a fixed number n the constraint is [sum[abs[x[i]^2=1], so here I want to find out the value of x[i] for which we will get the minimized value of the function... p = 0.05; q = 1 n = 5; x[6] = 0; f = Sum[Sqrt[i + 1] p x[i] \!\(\*SuperscriptBox[ RowBox[{"(", RowBox[{"x", "[", RowBox[{"i", "+", "1"}], "]"}], ")"}], "*"]\) + \!\(\*SuperscriptBox["p", "*"]\) x[ i + 1] (x[i])\[Conjugate] + (q*i + i (i - 1)) x[i] \!\(\*SuperscriptBox[ RowBox[{"(", RowBox[{"x", "[", "i", "]"}], ")"}], "*"]\), {i, 0, n}]; c = [\!\( \*UnderoverscriptBox[\(\[Sum]\), \(i = 0\), \(n\)] \*SuperscriptBox[\(Abs\ [x[i]]\), \(2\)]\) == 1, {i, n}]; v = Array[x, n]; Timing[ NMinimize[{f, c}, v, Method -> {"RandomSearch", Method -> "InteriorPoint"}]] This is my written program from which I can not get the expected value.please give a solution...if myproblem is not clear to you people then just inform me through mailing...