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math.OC2018
Optimization on the symplectic group
Petre Birtea, Ioan Casu, Dan Comanescu
We regard the real symplectic group as a constraint submanifold of the real matrices endowed with the Euclidean (Fr…
math.NA2018
Second order optimality on orthogonal Stiefel manifolds
Petre Birtea, Ioan Casu, Dan Comanescu
The main tool to study a second order optimality problem is the Hessian operator associated to the cost function that defines the optimization problem. By regarding an orthogonal S…