[SciPy-user] Using fmin

Moofle mustafarahman23@gmail....
Wed Mar 25 16:48:12 CDT 2009

Dear All,

I am a beginner to python and scipy for that matter. I am trying to program
GARCH(1,1) and I am attempting to use fmin or fmin_powell to optimize the
equation : =     

SUM(from i to N) [-ln(vi)-((ui**2)/(vi))]  (where i is the index)

I am trying to get some hints as to how to answer this question:

1. vi is dependent on ui and the v before it (vi-1). It is defined by this
equation: vi = omega + alpha*ui-1 + beta*vi-1 (where omega, alpha, beta are the
parameters I need to optimize, i is the index) 

I am not sure how to pass alpha, omega, beta into the fmin method. To be honest,
I am not even completely sure about how that method even works even though I
have looked at the documentation for hours. In particular, I dont know what the
args=() is used for!! I can solve this in excel using solver and AMPL, but I
sure would appreciate a few hints!!

Many Thanks.

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