= Let ƒ € Cm+¹ and the multiplicity of the root x* of f be n. In other words, f(x*) = ƒ'(x*) = = f(n−¹)(x*) = 0 and ƒ(¹)(x*) ‡ 0. We want to find the root x* using the modified Newton's method: == f(xk) f'(xk) Determine μl for which convergence is guaranteed to be quadratic. £k+1= k — |- .

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