If you hit the Major iteration limit, your problem has nonlinear constraints.
In each major iteration, Minos optimizes a certain subproblem (with augmented
Lagrangian as objective, subject to linearized constraints). Each subproblem
is allowed a limited number of Minor iterations (default 40 after a feasible point
is found for the subproblem). You probably don't want to change this limit,
but you may need to increase "Iterations", which limits the total number of
minor iterations for all subproblems. E.g., add 'Iterations=50000' to your
minos_options string.
Without knowing the size of your problem, it's hard to suggest sensible limits.
Michael Saunders