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arXiv · 1701.08651

The diagonalizable nonnegative inverse eigenvalue problem

Anthony G Cronin·Thomas J Laffey
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Abstract

In this paper we prove that the SNIEP $\neq$ DNIEP, i.e. the symmetric and diagonalizable nonnegative inverse eigenvalue problems are different. We also show that the minimum $t>0$ for which $(3+t,3-t,-2,-2,-2)$ is realizable by a diagonalizable matrix is $t=1$, and we distinguish diagonalizably realziable lists from general realizable lists using the Jordan Normal Form

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Anthony G Cronin, Thomas J Laffey. 2017-01-25. The diagonalizable nonnegative inverse eigenvalue problem. https://arxiv.org/abs/1701.08651

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