26 Oct 2026 ================================================
Convex Continuous QPLIB Benchmark (also on GPUs)
================================================
H. Mittelmann (mittelmann@asu.edu)
Logiles at plato.asu.edu/ftp/cconvex_logs/
MOSEK-11.2.3 MOSEK KNITRO-16.0.0 KNITRO IPOPT-3.14.5 github.com/coin-or/Ipopt COPT-9.0.0 COPT MINOTAUR-0.4.0 MINOTAUR cuOpt-26.10 cuOpt HPR-QP-C-0.1.1 HPR-QP-C COPT-Pub. PDHCG COPTPUB
The above solvers were run on a Linux-PC (i7-11700K, 3.6GHz, 64GB) on the 32
continuous convex problems from
QPLIB and these additional problems. For a recent related benchmark see HPR-QP.
Times given are elapsed times in seconds; time limit 2hrs (1 hr for GPU), 8 threads.
Shifted and scaled geometric mean of runtimes:
CPU codes | GPU codes
----------------------------------------------------------------------------
mean 2.74 2.90 14.0 1 70.7 | 1 13.3 8.33
solved 40 40 35 42 25 | 40 37 38
============================================================================
prob# MOSEK KNITRO IPOPT COPT Mnotaur | cuOpt HPR-QP COPTPUB
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2456 1 1 1 1 20 1 26 5
2468 3 1 2 1 295 1 150 18
2482 1 1 1 1 1 1 3 1
2519 1 1 1 1 9 1 8 1
2626 1 1 1 1 71 1 7 3
2676 1 1 1 1 1 1 7 3
2784 1 1 2 1 2 1 2 1
2862 1 2 110 1 74 1 28 1
3029 1 1 1 1 1 1 2 3
3088 1 1 1 1 6 1 2 1
3105 1 1 2 1 793 1 19 2
3185 1 1 20 1 20 1 52 1
3312 1 2 9 2 491 1 37 4
8495 1 1 2 1 f 1 1 1
8500 7 32 614 2 f 1 f f
8515 1 1 1 1 f 1 1 1
8547 34 52 1315 32 f 8 f f
8559 5 1 20 1 24 1 4 2
8567 4 2 55 1 257 1 5 3
8602 f 177 f 1 47 4 1 1
8616 1 1 1 1 11 1 1 1
8785 1 3 f 1 t 1 1 1
8790 1 1 1 1 t 1 1 1
8792 1 1 1 1 6 1 1 1
8845 1 1 4 1 2 1 7 2
8906 1 1 1 1 1 1 2 1
8938 1 1 1 1 2 1 202 105
8991 1 1 1 1 t 1 1 1
9002 1 f 150 1 1 1 f f
9008 t 3441 t 941 f 166 825 279
10034 3 2 22 1 916 1 155 101
10038 2 5 68 2 f 1 63 126
QP8585 7 1 m 4 1459 1 5 17
QP8803 11 2 2 6 672 1 287 253
bdry3 287 t m 67 f 31 f f
co5_1 49 27 f 5 f 9 31 296
cont5 15 32 908 1 f 3 187 64
dist3 68 5 325 4 f 4 127 39
dtoc 77 3 f 7 f 3 1 1
hub1 61 4 4 14 f 11 f 173
rqp1 19 39 370 5 f 3 45 8
twod 686 1330 f 253 f 45 227 126
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GPU codes on Intel Xeon Platinum 8570 2TB, 112 CPUs, 180GB B200
Intel is very slow compared to B200, computatiuons to be moved to AMD Ryzen
