  We study ample stable vector bundles on minimal rational surfaces. We give a
complete classification of those moduli spaces for which the general stable
bundle is both ample and globally generated. We also prove that if $V$ is any
stable bundle, then a large enough direct sum $V^{\oplus n}$ has ample
deformations unless there is an obvious numerical reason why it cannot.
Previous work in this area has mostly focused on rank two bundles and relied
primarily on classical constructions such as the Serre construction. In
contrast, we use recent advances in moduli of vector bundles to obtain strong
results for vector bundles of any rank.
