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)
“You know that the nucleus of a time is not
The poet but the poem, the growth of the mind
Of the world, the heroic effort to live expressed
As victory. The poet does not speak in ruins
Nor stand there making orotund consolations.
He shares the confusions of intelligence.”
—Wallace Stevens (1879–1955)