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Browsing by Author "Murad, Zainab"

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    Master Thesis
    Basin's fractal via complex newton's method
    (2015) Murad, Zainab
    In this thesis, we show that when we applied the Newton's method on the exponential function,f(z)=p(z)eQ(z) where p(z) and Q(z) are polynomials in the complex plane, the attraction basins of roots have finite area when n . With the help of MATLAB we obtained nice fractals in order to prove the finite basins area when n and infinite basins area when n<2