Czechoslovak Mathematical Journal, Vol. 69, No. 4, pp. 1015-1027, 2019
Inverse eigenvalue problem of cell matrices
Sreyaun Khim, Kijti Rodtes
Received December 20, 2017. Published online February 22, 2019.
Abstract: We consider the problem of reconstructing an $n \times n$ cell matrix $D(\vec{x})$ constructed from a vector $\vec{x} = (x_1, x_2,\dots, x_n)$ of positive real numbers, from a given set of spectral data. In addition, we show that the spectra of cell matrices $D(\vec{x})$ and $D(\pi(\vec{x}))$ are the same for every permutation $\pi\in S_n$.