On Cauchy's bound for zeros of a polynomial

On Cauchy's bound for zeros of a polynomial

In this note, we improve upon Cauchy's classical bound, and upon some recent bounds for the moduli of the zeros of a polynomial.

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  • [1] Cauchy, A.L.: Exercises de mathematique, in Oeuvres (2) Vol. 9, (1829), p. 122.
  • [2] Sun, Y.J. and Hsieh, J.G.: A note on circular bound of polynomial zeros, IEEE Trans. Circuits Syst. I 43 (1996), 476-478.
  • [3] Zilovic, M.S., Roytman, L.M., Combettes, P.L. and Swamy, M.N.S.: A bound for the zeros of polynomials, ibid 39 (1992), 476-478.