Constructive methods for spectra with three nonzero elements in the nonnegative inverse eigenvalue problem

Anthony Cronin

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arXiv · 1701.04708

Constructive methods for spectra with three nonzero elements in the nonnegative inverse eigenvalue problem

Anthony Cronin

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Abstract

We present and compare three constructive methods for realizing non-real spectra with three nonzero elements in the nonnegative inverse eigenvalue problem. We also provide some necessary conditions for realizability and numerical examples. In particular, we utilise the companion matrix.

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Anthony Cronin. 2017-01-17. Constructive methods for spectra with three nonzero elements in the nonnegative inverse eigenvalue problem. https://arxiv.org/abs/1701.04708

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