Optimality Conditions in Semidefinite Programming
Jean‐Paul Penot · Numerical Functional Analysis and Optimization · 2014
Semidefinite positiveness of operators on Euclidean spaces is characterized. Using this characterization, we compute in a direct way the first-order and second-order tangent sets to the cone of semidefinite positive operators on such a space. These characterizations are useful for optimality conditions in semidefinite programming.