Abstract
Let σ= (λ1,···λn)⊂C. We discuss conditions for which σ is the spectrum of a nonnegative or eventually nonnegative matrix. This brings us to study rational functions with nonnegative Maclaurin coefficients. A conjecture for special sets σ is stated and some evidence in support of this conjecture is given.
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Dedicated to my teacher Professor Menachem Schiffer on the occasion of his sixty-fifth birthday.
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Friedland, S. On an inverse problem for nonnegative and eventually nonnegative matrices. Israel J. Math. 29, 43–60 (1978). https://doi.org/10.1007/BF02760401
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DOI: https://doi.org/10.1007/BF02760401