This thesis presents a general model for the location problem
based on integer linear programming with fixed charges. The location
problem is concerned with choosing locations for facilities
throughout a particular region or area in such a way that total costs
and expenses incurred are minimized. Although the location problem...
This thesis has four main results. First we find a reduction form
for symmetric matrices over fields of characteristic two. This result
parallels the diagonalization theorem for symmetric matrices over
fields of characteristic not two.
Secondly we reduce our reduction form to a canonical form in
perfect fields of characteristic...