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math.OC2026
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),…
math.OC2026
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…
math.OC2026
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…