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On a Certain Function with Negative Coefficients

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Abstract

In what follows we improve an inequality related to matrix theory. Laffey (Math Proc R Ir Acad 113A(2):97–106, 2013) proved a weaker form of this inequality.

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References

  1. Holland, F.: A contribution to the inverse eigenvalue problem for non-negative matrices. Math. Proc. R. Ir. Acad. 110A, 13–19 (2013). doi:10.3318/PRIA.2010.110.1.13

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  2. Laffey, T.J.: Formal power series and the spectra of nonnegative real matrices. Math. Proc. R. Ir. Acad. 113A(2), 97–106 (2013). doi:10.3318/PRIA.2013.113.10

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  3. Laffey, T.J., Loewy, R., Smigoc, H.: Power series with positive coefficients arising from the characteristic polynomials of positive matrices. Math. Ann. 364(1), 687–707 (2015)

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Acknowledgements

I want to thank Prof Raphi Loewy for bringing to my attention the papers [1] and [2].

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Authors and Affiliations

  1. Department of Mathematics, Technion, I.I.T, 32000, Haifa, Israel

    Dov Aharonov

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  1. Dov Aharonov
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Correspondence to Dov Aharonov.

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Communicated by Daniel Aron Alpay.

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Aharonov, D. On a Certain Function with Negative Coefficients. Complex Anal. Oper. Theory 11, 1597–1602 (2017). https://doi.org/10.1007/s11785-017-0657-5

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  • DOI: https://doi.org/10.1007/s11785-017-0657-5

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