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 Pride, in reasning Pride, our error lies;
All quit their sphere, and rush into the skies.
Pride still is aiming at the blest abodes,
Men would be Angels, Angels would be Gods.”
—Alexander Pope (16881744)
“Cities force growth and make men talkative and entertaining, but they make them artificial. What possesses interest for us is the natural of each, his constitutional excellence. This is forever a surprise, engaging and lovely; we cannot be satiated with knowing it, and about it; and it is this which the conversation with Nature cherishes and guards.”
—Ralph Waldo Emerson (18031882)