4 papers
Maximal acyclic subgraphs and closest stable matrices
Aleksandar Cvetković, Vladimir Yu. Protasov
We develop a matrix approach to the Maximal Acyclic Subgraph (MAS) problem by reducing it to finding the closest nilpotent matrix to the matrix of the graph. Using recent results o…
Stabilising the Metzler matrices with applications to dynamical systems
Aleksandar Cvetković
Metzler matrices play a crucial role in positive linear dynamical systems. Finding the closest stable Metzler matrix to an unstable one (and vice versa) is an important issue with…
Spontaneous morphing of equibiaxially pre-stretched elastic bilayers: the role of sample geometry
Noè Caruso, Aleksandar Cvetković, Alessandro Lucantonio +2
An elastic bilayer, consisting of an equibiaxially pre-stretched sheet bonded to a stress-free one, spontaneously morphs into curved shapes in the absence of external loads or cons…
The greedy strategy in optimizing the Perron eigenvalue
Vladimir Yu. Protasov, Aleksandar Cvetković
We address the problems of minimizing and of maximizing the spectral radius overa compact family of non-negative matrices. Those problems being hard in generalcan be efficiently so…