Inverse Eigenvalue Problem of Cell Matrices
Abstract
In this paper, 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 spectrum of cell matrices $D(\vec{x})$ and $D(\pi(\vec{x}))$ are the same, for every permutation $\pi \in S_{n}$.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- 10.48550/arXiv.1712.04187
- arXiv:
- arXiv:1712.04187
- Bibcode:
- 2017arXiv171204187K
- Keywords:
-
- Mathematics - Rings and Algebras;
- 15B10;
- 15B05;
- 15B48;
- 35P30;
- 35P20
- E-Print:
- 10 pages