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$f(x,y)=\begin{pmatrix}x^2-y^2+1\\ 2xy\end{pmatrix}=\begin{pmatrix}0\\0\end{pmatrix}$ and $(x_0,y_0)=(1,1)$

  1. Do the first 4 steps of Newton method. I did this.
  2. Show that are many reasonably starting points for the Newton method that does not converge. Show that for starting points (x0, 0) on the x-axis the metod does not converge.

Can someone help me with 2.?

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