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:
“Still we live meanly, like ants; though the fable tells us that we were long ago changed into men; like pygmies we fight with cranes; it is error upon error, and clout upon clout, and our best virtue has for its occasion a superfluous and evitable wretchedness. Our life is frittered away by detail.”
—Henry David Thoreau (18171862)
“A revolution is not the overturning of a cart, a reshuffling in the cards of state. It is a process, a swelling, a new growth in the race. If it is real, not simply a trauma, it is another ring in the tree of history, layer upon layer of invisible tissue composing the evidence of a circle.”
—Kate Millett (b. 1934)