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:

    It is personality with a penny’s worth of talent. Error which chances to rise above the commonplace.
    Pablo Picasso (1881–1973)

    Although its growth may seem to have been slow, it is to be remembered that it is not a shrub, or plant, to shoot up in the summer and wither in the frosts. The Red Cross is a part of us—it has come to stay—and like the sturdy oak, its spreading branches shall yet encompass and shelter the relief of the nation.
    Clara Barton (1821–1912)