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I am asked to find the root of a function, using the midpoint technique. Now I have some definition questions. In one question I am asked to find the root with error $\delta \le 10^{-3}$. In another question I am asked to find a root wit tolerance $\tau≤ 10^{-3}$

What exactly is meant by tolerance?

Sylvester Stallone
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  • Is this the bisection method? The next bracketing method (constructing midpoints and choosing new sub-intervals) would be rergula falsi and its variants. – Lutz Lehmann Sep 21 '17 at 16:16

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The tolerance is the largest acceptable relative error. The tolerance is the parameter fed to the solver, the error is the difference between the exact solution and the computed approximation.

Carl Christian
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