Constructive methods for spectra with three nonzero elements in the nonnegative inverse eigenvalue problem |
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Authors: | Anthony G. Cronin |
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Affiliation: | School of Mathematics and Statistics, University College Dublin, Dublin, Ireland. |
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Abstract: | We present and compare three constructive methods for realizing nonreal 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 utilize the companion matrix. |
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Keywords: | Nonnegative matrices inverse eigenvalue problem spectral theory |
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