19 citations · 181 across the 33 of their papers we have counts for
5 papers · 1 filter
Optimization with inequality constraints by the embedded gradient vector field method
Petre Birtea, Ioan Casu, Dan Comanescu
We develop a geometric framework for constrained optimization problems with inequality constraints through the introduction of quadratic slack variables. This formulation makes it…
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…
Steepest descent algorithm on orthogonal Stiefel manifolds
Petre Birtea, Ioan Casu, Dan Comanescu
Considering orthogonal Stiefel manifolds as constraint manifolds, we give an explicit description of a set of local coordinates that also generate a basis for the tangent space in…
Averaging on Manifolds by Embedding Algorithm
Petre Birtea, Dan Comănescu, Călin-Adrian Popa
We will propose a new algorithm for finding critical points of cost functions defined on a differential manifold. We will lift the initial cost function to a manifold that can be e…
Controllability of reduced systems
Petre Birtea, Mircea Puta, Tudor S. Ratiu
Sufficient conditions for the controllability of a conservative reduced system are given. Several examples illustrating the theory are also presented.