| Malajovich, G., Computability in Dynamical Systems, preprint. |
....suggests that increasing the precision decreases the roundoff error, though not necessarily by the same amount; we have simply generalized the relationship between precision and accuracy. In this respect, our definition and the theorem which follows have a similar spirit to the work of Malajovich [46] on dynamical systems. The preceding definition differs from the traditional one in that we have specifically defined numerical stability for floating point implementations of real number algorithms, and consequently we may call algorithms such as those of chapter 2 numerically stable despite the ....
Malajovich, G., Computability in Dynamical Systems, preprint.
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