Numerical Stability - Error Growth

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 (1817–1862)

    “The English countryside, its growth and its destruction, is a genuine and tragic theme.”
    —E.M. (Edward Morgan)