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## On the Newton-Kantorovich Theorem of 1948

The Newton’s method was invented by Isaac Newton in 1669 to find zeros of polynomials.  It is the iterative scheme:

$x_{k+1} = x_k - f(x_k)/f'(x_k)$

In 1948 it was generalized with quantitative bounds for finding zeros of nonlinear functions on a Banach space where the derivative $f'(x)$ in the iterations is replaced by a Frechet derivative.

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