The integer classTag is passed to the constructor for the
SystemOfEqn. The constructor sets sets the pointer for the currently
associated LinearSOESolver object to point to theSolver.
Invoked to allow the LinearSOE object to determine the size and sparsity of
the matrix A and vectors x and b. This information can be
deduced from the number of vertices and the connectivity between the
vertices in the Graph object G. To return 0 if
sucessfull, a negative number if not.