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Numerical Stability


Numerical stability refers to how a malformed input affects the execution of an algorithm. In a numerically stable algorithm, errors in the input lessen in significance as the algorithm executes, having little effect on the final output.

On the other hand, in a numerically unstable algorithm, errors in the input cause a considerably larger error in the final output.


This entry contributed by Wiktor K. Macura

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Cite this as:

Macura, Wiktor K. "Numerical Stability." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/NumericalStability.html

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