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:
“In religion,
What damned error but some sober brow
Will bless it, and approve it with a text,
Hiding the grossness with fair ornament?”
—William Shakespeare (15641616)
“Perhaps our national ambition to standardize ourselves has behind it the notion that democracy means standardization. But standardization is the surest way to destroy the initiative, to benumb the creative impulse above all else essential to the vitality and growth of democratic ideals.”
—Ida M. Tarbell (18571944)