5 papers · 1 filter
Radial-type error bounds for semidefinite feasibility problems without strict feasibility: qualitative estimates and asymptotic tightness
Mitsuhiro Nishijima, Guoyin Li, Bruno F. Lourenço
In this paper, we develop a systematic framework for deriving explicit error bounds for semidefinite feasibility problems without assuming strict feasibility (Slater's condition),…
Classification of facial exposedness of completely positive cones over symmetric cones
Mitsuhiro Nishijima
We classify the facial exposedness of completely positive cones over symmetric cones in terms of the rank of the associated Euclidean Jordan algebras. The completely positive cones…
Copositive and completely positive cones over symmetric cones of rank at least 5
Mitsuhiro Nishijima
We study copositive and completely positive cones over symmetric cones of rank at least , with particular emphasis on whether these cones are spectrahedral shadows and on the be…
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…
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…