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On the number of iterations of Newton's method for complex polynomials

  • DIERK SCHLEICHER (a1)

Abstract

We use methods from conformal geometry to give an explicit estimate for how many iterations of Newton's method it takes, at most, to find all the roots of an arbitrary complex polynomial of fixed degree with prescribed precision.

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On the number of iterations of Newton's method for complex polynomials

  • DIERK SCHLEICHER (a1)

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