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[Help-glpk] cross product of decision variable on itself.


From: brad mullins
Subject: [Help-glpk] cross product of decision variable on itself.
Date: Sat, 25 Feb 2012 12:31:20 -0800 (PST)

This may make no sense, but trying to create a matrix established by the a
single dimensional decision variable that is the cross product of itself,
eg:

        decision variable
        1            2            3            1.5
    ----------- ----------- ----------- -----------
1   |    1            2            3            1.5           
2   |    2            4            6            3
3   |    3            6            9            4.5
1.5|    1.5         3             4.5         2.25

Thought about making two sets, maybe something like the following, but cant
get it to work:
set SET1;
set SET2 := SET1 cross SET1;

Also thought about building this into a constraint. something like s.t.
:[x,y] - [x]*[y] =0 . 

In the objective statement, the resulting matrix will just be multiplied by
another parameter matrices of the same dimension.

How can this be done?

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