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:

    “It is not to everyone’s taste that truth should be pronounced pleasant. But at least let no one believe that error becomes truth when it is pronounced unpleasant.”
    —Friedrich Nietzsche (1844–1900)

    “You know that the nucleus of a time is not
    The poet but the poem, the growth of the mind
    Of the world, the heroic effort to live expressed
    As victory. The poet does not speak in ruins
    Nor stand there making orotund consolations.
    He shares the confusions of intelligence.”
    —Wallace Stevens (1879–1955)