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Certain Conference, error bound, multiple roots,Slow convergence, skips Even roots

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12y ago
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2w ago

The bisection method is simpler to implement and guarantees convergence to a root if one exists within the initial interval, but it can be slower as it always halves the interval. In contrast, linear interpolation converges faster but does not guarantee convergence, and it might fail if the function is not well approximated by a linear model in the interval.

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Q: What are the advantages and disadvantages of the bisection method compare with that of the linear interpolation method?
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