Questions on numerical analysis/numerical methods; methods for approximately solving various problems that often do not admit exact solutions.

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The sequence from the chord's iterational method is monotonic

Assume $f:[a,b]\to\mathbb R$ is twice differentiable and $f'f''\not=0$ on the interval. Assume $f(a)<0<f(b)$. Let $x_0$ be the point of intersection of the $x$-axis with the line through the ...