Shared flowchart

Mathematics · L5 · Convex Optimization: Convexity, Duality, and KKT Conditions · flowchart

by @openstemUpdated Mathematics
Constrained problemmin f(x) s.t. gᵢ(x)≤0, hⱼ(x)=0f and feasible set convex?Form LagrangianL = f + Σλᵢgᵢ + ΣνⱼhⱼLocal optimum ≠guaranteed global optimumSolve KKT conditions(stationarity + complementary slackness)Slater's condition holds?Strong duality:zero duality gapOnly weak dualityguaranteed: g(λ,ν) ≤ f(x*)YesNoYesNo

We use privacy-friendly product analytics (no session recording, PII masked) to improve OpenStem. Load analytics? Privacy Policy