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:

    “Mistakes are made on two counts: an argument is either based on error or incorrectly developed.”
    —Thomas Aquinas (c. 1225–1274)

    “The wind of change is blowing through the continent. Whether we like it or not, this growth of national consciousness is a political fact.”
    —Harold MacMillan (1894–1986)