Finding the nearest $\Omega$-stable pencil with Riemannian optimization

Vanni Noferini, Lauri Nyman

This paper considers the problem of finding the nearest $\Omega$-stable pencil to a given square pencil $A+xB\in {\mathbb{C}}^{n\times n}$, where a pencil is called $\Omega$-stable if it is…