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Minimum Volume Enclosing Ellipsoid optimization on Example 3 MVEE 1000 randomized instances

0.18Average Solving Time (ms)sMEL-ADMM
0.12040.52270.9251.3273Jun 8, 2026
Updated 5mo ago

Evaluation results

MethodLinks
sMEL-ADMMNumber of constraints (m)=55, Optimality gap (g_opt)=1%2026.060.18
sMEL-ADMMNumber of constraints (m)=75, Optimality gap (g_opt)=1%2026.060.23
sMEL-ADMMNumber of constraints (m)=55, Optimality gap (g_opt)=0.1%2026.060.3
sMEL-ADMMNumber of constraints (m)=75, Optimality gap (g_opt)=0.1%2026.060.38
ClarabelNumber of constraints (m)=55, Optimality gap (g_opt)=1%2026.060.79
ClarabelNumber of constraints (m)=55, Optimality gap (g_opt)=0.1%2026.060.84
ClarabelNumber of constraints (m)=75, Optimality gap (g_opt)=1%2026.060.89
ClarabelNumber of constraints (m)=75, Optimality gap (g_opt)=0.1%2026.060.92
MosekNumber of constraints (m)=55, Optimality gap (g_opt)=1%2026.061.36
MosekNumber of constraints (m)=55, Optimality gap (g_opt)=0.1%2026.061.44
MosekNumber of constraints (m)=75, Optimality gap (g_opt)=1%2026.061.66
MosekNumber of constraints (m)=75, Optimality gap (g_opt)=0.1%2026.061.67