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:

    “Truth is the kind of error without which a certain species of life could not live. The value for life is ultimately decisive.”
    —Friedrich Nietzsche (1844–1900)

    “It is in the comprehension of the physically disabled, or disordered ... that we are behind our age.... sympathy as a fine art is backward in the growth of progress ...”
    —Elizabeth Stuart Phelps (1844–1911)