18 citations · 89 across the 17 of their papers we have counts for
18 papers
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…
An elementary derivation of 3-cycles for a quadratic map
Arpad Benyi, Ioan Casu
We present an elementary derivation of the period-three cycles for the real quadratic map , a fundamental model in one-dimensional discrete dynamics. Using symmetri…
An explicit formula for the Laplace-Beltrami operator on the Stiefel manifold
Petre Birtea, Ioan Casu, Dan Comanescu
We derive an explicit formula for the Laplace-Beltrami operator on the orthogonal Stiefel manifold, viewed as a constraint submanifold of the Euclidean space of real matrices equip…
Upper block triangular form for the Laplace-Beltrami operator on the special orthogonal group acquired through a flag of trace polynomials spaces
Petre Birtea, Ioan Casu, Dan Comanescu
The Laplacian of a general trace polynomial function defined on the special orthogonal group is explicitly computed. An invariant flag of spaces generated by trace polynomi…
Laplace-Beltrami operator on the orthogonal group in Cartesian coordinates
Petre Birtea, Ioan Casu, Dan Comanescu
Using the embedded gradient vector field method (see P. Birtea, D. Comanescu, Hessian operators on constraint manifolds, J. Nonlinear Science 25, 2015), we present a general formul…
Constraint optimization and quantum control landscapes
Petre Birtea, Ioan Casu, Dan Comanescu
We develop the embedded gradient vector field method, introduced in [8] and [9], for the case of the special unitary group regarded as a constraint submanifold of…