Math — Iterative Methods
Fixed-point iteration and Newton–Raphson.
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x_{n+1} = g(x_n)
\text{converges if } |g'(x)| < 1
x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}
\text{fixed point: } x = g(x)
Fixed-point iteration and Newton–Raphson.
x_{n+1} = g(x_n)
\text{converges if } |g'(x)| < 1
x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}
\text{fixed point: } x = g(x)