5. NEWTON'S METHOD SETS WITH MATLAB

MATLAB is useful also to plot Julia sets generated by Newton's method applied to the research of the roots of complex functions starting from a point of Gauss plain which is estimated to be not far from a solution.

Here are some examples all with f(z) = z3-1 approaching to the solution z = 0. The pictures represent different zooms.

Newton/Newt.gif x 1 MATLAB Script N.1

Newton/Newt1.gif x 5 MATLAB Script N.2

Newton/Newt2.gif x 10 MATLAB Script N.3

Newton/Newt3.gif x 100 MATLAB Script N.4

INDEX

  1. General Information

  2. Decorations with MATLAB

  3. Mandelbrot sets with MATLAB

  4. Julia sets with MATLAB

  5. Back to "FRACTALS WITH MATLAB"

  6. zz.gif sets with MATLAB

  7. 3D fractals with MATLAB

fract.gif FRACTAL GALLERY

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