Newton and Homeier Methods

Project description
The general task is Write a computer program to implement the Newton and the Homeier methods for finding roots of polynomials of comlex coefficients – the fractal visualization of the convergence.

I am attaching two M files which are codes on Mat-lab. One of them is Newton and the other one is Homeier. Both them have ( Polyval function ),

1. I need to get these polyval functions in each file replaced with my Own Homeier function ( you have to create for me a Homeier function.

2. Implement Homeier shcem for evaluating a polynomial
w(x)= (x-1)(x+2)(x-3)(x+5)
z=[1, -2, 3, -5 ]
p= poly (z)
w(x)= p(1)x(to power)4 + p(2)x3 +p(3)x2 + p(4)x + p(5)

3. Implement the Homeier method and compare it with the Newton method.

4. I need all these implementations as Mat-lab codes, and finally, I need a report done on Latex software showing everything starting with a Description of the project, then some results, then three interesting examples and finally the comparison between Newton and Homeier methods. and please before you send me the report convert it to PDF file.

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