4 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…