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Rouché theorem

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1: 1.10 Functions of a Complex Variable
Rouché’s Theorem
2: 3.8 Nonlinear Equations
Initial approximations to the zeros can often be found from asymptotic or other approximations to f ( z ) , or by application of the phase principle or Rouché’s theorem; see §1.10(iv). … …
3: 10.74 Methods of Computation
To ensure that no zeros are overlooked, standard tools are the phase principle and Rouché’s theorem; see §1.10(iv). …