Inverse Spectral Problems for Linked Vibrating Systems and Structured Matrix Polynomials

Keivan Hassani Monfared, Peter Lancaster

We show that for a given set $\Lambda$ of $nk$ distinct real numbers ${\lambda }_1,{\lambda }_2,\dots ,{\lambda }_{nk}$ and $k$ graphs on $n$ nodes, $G_0,G_1,\dots ,G_{k-1}$, there are real symmetric $n\times…