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math.OC2025
Inexact subgradient algorithm with a non-asymptotic convergence guarantee for copositive programming problems
Mitsuhiro Nishijima, Pierre-Louis Poirion, Akiko Takeda
In this paper, we propose a subgradient algorithm with a non-asymptotic convergence guarantee to solve copositive programming problems. The subproblem to be solved at each iteratio…
math.OC2025
Facial structure of copositive and completely positive cones over a second-order cone
Mitsuhiro Nishijima, Bruno F. Lourenço
We classify the faces of copositive and completely positive cones over a second-order cone and investigate their dimension and exposedness properties. Then we compute two parameter…