#newton method

[rauko]

Newton Fractals of Complex Polynomial Functions ❁

𝒵𝓃+1 = 𝒵𝓃 – 𝑝(𝒵𝓃) / 𝑝'(𝒵𝓃)

𝑝(𝒵) -> Fig. 1–5: 𝒵³–1 | 𝒵⁴–1 | 𝒵⁵–1 | 𝒵⁶–1 | 𝒵¹⁰–1

[mat200c-2013]

f(z) = (z-1)(z-2)(z-3)+sin(z) at different resolutions

-Hannah Wolfe

[mat200c-2013]

f(z) = (z-1)(z-a)(z-b)+sin(z)

Where a and b are being varied, between -1.8 and 1.8.

-Hannah Wolfe

[mat200c-2013]

Original Newton Method with (x-1)(x-2)(x-3) -Hannah Wolfe