lagrange multipliers in python
fdu.xiaojf at gmail.com
fdu.xiaojf at gmail.com
Thu Jun 14 19:46:36 CEST 2007
Hi all,
Sorry for the cross-posting.
I'm trying to find the minimum of a multivariate function F(x1, x2, ...,
xn) subject to multiple constraints G1(x1, x2, ..., xn) = 0, G2(...) =
0, ..., Gm(...) = 0.
The conventional way is to construct a dummy function Q,
$$Q(X, \Lambda) = F(X) + \lambda_1 G1(X) + \lambda_2 G2(X) + ... + \lambda_m
Gm(X)$$
and then calculate the value of X and \Lambda when the gradient of function Q
equals 0.
I think this is a routine work, so I want to know if there are available
functions in python(mainly scipy) to do this? Or maybe there is already
a better way in python?
I have googled but haven't found helpful pages.
Thanks a lot.
Xiao Jianfeng
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