Browsing Departament de Matemàtica Aplicada i Anàlisi by authors/directors "Fagella Rabionet, Núria"

Browsing Departament de Matemàtica Aplicada i Anàlisi by authors/directors "Fagella Rabionet, Núria"

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  • Taixés i Ventosa, Jordi (Date of defense: 22-09-2011)
    Newton's method associated to a complex holomorphic function f is defined by the dynamical system Nf(z) = z – f(z) / f'(z). As a root-finding algorithm, a natural question is to understand the dynamics of Nf about its fixed ...
  • Canela Sánchez, Jordi (Date of defense: 18-03-2015)
    This PhD thesis belongs to the area of discrete dynamical systems in the complex plane, i.e. the iteration of analytic functions in one complex variable. Given a rational map f from the Riemann sphere onto itself, we ...