Any ideas how to solve the following problem:
$$Minimize: |F(x,y)|+|G(x,y)|$$ s.t. $x<A, y<B$
where $$F(x,y)=ax^2+by^2+cx+dy+e$$ $$G(x,y)=fx^2+gy^2+hx+iy+j$$
and $A,B$ are known constants.
Any help would be appreciated.
You can modify this program into a QCLP as follows,
Now, you can solve this using any of the standard techniques.