2 papers
math.OC2026
Dual certificates of primal cone membership
Joonyeob Lee, Dávid Papp, Anita Varga
We discuss optimization problems over convex cones in which membership is difficult to verify directly. In the standard theory of duality, vectors in the dual cone are associ…
math.OC2025
Interior-point algorithms with full Newton steps for nonsymmetric convex conic optimization
Dávid Papp, Anita Varga
We design and analyze primal-dual, feasible interior-point algorithms (IPAs) employing full Newton steps to solve convex optimization problems in standard conic form. Unlike most n…