📄 ysnewton.m
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function x=YSNewton(a)
format long;
n = length(a);
max_X = BenvliMAX(a);
b = zeros(n,1);
x = zeros(n,1);
syms t real;
f = power(t,n);
m = 0:n-1;
s = power(t,m);
f = f + dot(s, a(n:-1:1));
for k=1:n
x(k) = NewtonRoot(f,-max_X,max_X);
b = 0;
b(1) = 1;
for i=2:n-k+1
b(i) = a(i-1) + x(k)*b(i-1);
end
m = 0:n-k;
s = power(t,m);
f = dot(s, b(n-k+1:-1:1));
a = b(2:length(b));
end
format short;
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