18 citations · 122 across the 27 of their papers we have counts for
28 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 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…
The Steady States of Antitone Electric Systems
Dan Comănescu
The steady states of an antitone electric system are described by an antitone function with respect to the componentwise order. When this function is bounded from below by a positi…
The Steady States of Isotone Electric Systems
Dan Comănescu
The steady states of an isotone electric system are described by an isotone function with respect to the componentwise order. When there are steady states, we highlight a dominant…
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…