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 ∼  CnEi, where C is a constant independent of n, then the growth of the error is said to be linear. If En ∼  CnEi, 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:

    We call contrary to nature what happens contrary to custom; nothing is anything but according to nature, whatever it may be, Let this universal and natural reason drive out of us the error and astonishment that novelty brings us.
    Michel de Montaigne (1533–1592)

    The risk for a woman who considers her helpless children her “job” is that the children’s growth toward self-sufficiency may be experienced as a refutation of the mother’s indispensability, and she may unconsciously sabotage their growth as a result.
    Letty Cottin Pogrebin (20th century)