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:

    When a scientist is ahead of his times, it is often through misunderstanding of current, rather than intuition of future truth. In science there is never any error so gross that it won’t one day, from some perspective, appear prophetic.
    Jean Rostand (1894–1977)

    The idealists dream and the dream is told, and the practical men listen and ponder and bring back the truth and apply it to human life, and progress and growth and higher human ideals come into being and so the world moves ever on.
    Anna Howard Shaw (1847–1919)