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Algorithms to approximate numerically a root of a nonlinear equation or system: for instance, Newton's method, secant method, bisection, etc.
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Fast root finding for strictly decreasing function
This is an attempt to make precise the statement that bisection is the fastest method. Consider the problem of approximating the solution of $f(x) = 0$, $x \in [0,1]$, where $f$ is known to be a cont …