Summary
This note gives a solution to a problem of Henrici: Suppose a polynomial has exactly three dominant zeroes, one real, two complex conjugate. Devise a modification of Bernouilli's method that deals with this situation.
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Reference
Henrici, P.: Elements of numerical analysis. New-York: J. Wiley 1964
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Mignotte, M. Note sur la méthode Bernoulli. Numer. Math. 26, 325–326 (1976). https://doi.org/10.1007/BF01395949
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DOI: https://doi.org/10.1007/BF01395949