Geodesic
Inverse eigenvalue problem of cell matrices
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1015-1027

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 $\pi \in S_{n}$.
DOI : 10.21136/CMJ.2019.0579-17
Classification : 15B05, 15B10, 15B48, 35P20, 35P30
Keywords: cell matrix; inverse eigenvalue problem; Euclidean distance matrix 
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Khim, Sreyaun; Rodtes, Kijti. Inverse eigenvalue problem of cell matrices. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 4, pp. 1015-1027. doi: 10.21136/CMJ.2019.0579-17

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