Can FindMinimum work with complex starting values
- To: mathgroup at smc.vnet.net
- Subject: [mg39014] Can FindMinimum work with complex starting values
- From: Vesna Damljanovic <damljano at uiuc.edu>
- Date: Fri, 24 Jan 2003 05:07:14 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
I am trying to minimize a nonlinear function of 15 variables using
FindMinimum. The function is basically a CHIsquare regression for a
problem I am studying that looks something like this:
CHIsquare=Abs[Sum(Sum(A_m * x_m * E^(-i * B_n * y_m)))]^2
m n
where:
Sums go over all m's (# of independent variables,15 of them) and n's
(# of my data points) respectively
x's and y's are the variables w.r.t which I want to minimize the
function <-- I must assign them COMPLEX starting values
A's and B's are COMPLEX valued constants
Becasue of Abs and ^2, my CHIsquare will always be REAL but when I try
using all this, it does not work - I get a message:
"Starting value is not a real number"
for the first variable to which I gave complex starting value.
Is there some way to minimize my function that allows for complex values of
variables?
Thanks
Vesna