This project is to draw the graph of the convegernce domains of Newton method to

Question

This project is to draw the graph of the convegernce domains of Newton method to ap- proximate the three conplex zeros of the polynormal f(z) = 23-1 by writing a Matlab function yourLastNameLast] [3digits0fYourID] P3 (a,n, TOL,N), where z = x + iy with-a b and-a y b. Below are some information you need: (a) You need to declare a three dimensional matrix A in your code A zeros (n,n,3,'uint8') = (b) You need to use Matlab command rts-t1 0 0-1) to find the zeros of f(z). Report the zeros here rts(1)- rts(2) = rts(3) = -a a, divide -a, al into n equal (c) For a positive constant a, -a

Explanation / Answer

And we see that the solution has converged to 1.4422. Checking that this is a root we evaluate

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