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Nonnegative realization of spectra having negative real parts |
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| Authors: | Thomas J. Laffey |
| Affiliation: | a Department of Mathematics, University College Dublin, Dublin, Ireland b Hamilton Institute, National University of Ireland, Maynooth, Co. Kildare, Ireland |
| Abstract: | The nonnegative inverse eigenvalue problem (NIEP) is the problem of determining necessary and sufficient conditions for a list of complex numbers σ to be the spectrum of a nonnegative matrix. In this paper the problem is completely solved in the case when all numbers in the given list σ except for one (the Perron eigenvalue) have real parts smaller than or equal to zero. |
| Keywords: | Nonnegative matrices Inverse eigenvalue problem Companion matrix |
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