Inverse eigenvalue problem of cell matrices
Czechoslovak Mathematical Journal (2019)
- Volume: 69, Issue: 4, page 1015-1027
- ISSN: 0011-4642
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topKhim, Sreyaun, and Rodtes, Kijti. "Inverse eigenvalue problem of cell matrices." Czechoslovak Mathematical Journal 69.4 (2019): 1015-1027. <http://eudml.org/doc/294333>.
@article{Khim2019,
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 $\pi \in S_\{n\}$.},
author = {Khim, Sreyaun, Rodtes, Kijti},
journal = {Czechoslovak Mathematical Journal},
keywords = {cell matrix; inverse eigenvalue problem; Euclidean distance matrix},
language = {eng},
number = {4},
pages = {1015-1027},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Inverse eigenvalue problem of cell matrices},
url = {http://eudml.org/doc/294333},
volume = {69},
year = {2019},
}
TY - JOUR
AU - Khim, Sreyaun
AU - Rodtes, Kijti
TI - Inverse eigenvalue problem of cell matrices
JO - Czechoslovak Mathematical Journal
PY - 2019
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 69
IS - 4
SP - 1015
EP - 1027
AB - 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 $\pi \in S_{n}$.
LA - eng
KW - cell matrix; inverse eigenvalue problem; Euclidean distance matrix
UR - http://eudml.org/doc/294333
ER -
References
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