| E04NCF/E04NCA | Convex QP problem or linearly-constrained linear least squares problem (dense) |
| E04NFF/E04NFA | QP problem (dense) |
| E04NKF/E04NKA | LP or QP problem (sparse) |
| E04NQF | LP or QP problem (suitable for sparse problems) |
| E04UGF/E04UGA | NLP problem (sparse) |
| E04VHF | General sparse nonlinear optimizer |
| H02CBF | Integer QP problem (dense) |
| H02CEF | Integer LP or QP problem (sparse), using E04NKF |