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:
“There are strange flowers of reason to match each error of the senses.”
—Louis Aragon (1897–1982)
“A person of mature years and ripe development, who is expecting nothing from literature but the corroboration and renewal of past ideas, may find satisfaction in a lucidity so complete as to occasion no imaginative excitement, but young and ambitious students are not content with it. They seek the excitement because they are capable of the growth that it accompanies.”
—Charles Horton Cooley (1864–1929)