Error Growth
Suppose that Ei > 0 denotes an initial error and En represents the magnitude of an error after n subsequent operations. If En ∼ C∙n∙Ei, where C is a constant independent of n, then the growth of the error is said to be linear. If En ∼ Cn∙Ei, for some C > 1, then the growth of the error is called exponential.
Read more about this topic: Numerical Stability
Famous quotes containing the words error and/or growth:
“Truth on our level is a different thing from truth for the jellyfish, and there must certainly be analogies for truth and error in jellyfish life.”
—T.S. (Thomas Stearns)
“The risk for a woman who considers her helpless children her “job” is that the children’s growth toward self-sufficiency may be experienced as a refutation of the mother’s indispensability, and she may unconsciously sabotage their growth as a result.”
—Letty Cottin Pogrebin (20th century)