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Can anyone help me with the programming?
F(x)=f(x)/(x-r1)*(x-r2)*...*(x-ri)
show that the fixed point iteration determined by applying Newtons Method to F can be written in terms of the original function f as
g(x)=x-f(x)/(f'(x)-s(x)f(x))
and s(x)=1/(x-r1)+1/(x-r2)+...+1/(x-ri)
where ri(i=1,2,...n) is root of F(x)
show that the fixed point iteration determined by applying Newtons Method to F can be written in terms of the original function f as
g(x)=x-f(x)/(f'(x)-s(x)f(x))
and s(x)=1/(x-r1)+1/(x-r2)+...+1/(x-ri)
where ri(i=1,2,...n) is root of F(x)
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