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:
“Theoretically, I grant you, there is no possibility of error in necessary reasoning. But to speak thus theoretically, is to use language in a Pickwickian sense. In practice, and in fact, mathematics is not exempt from that liability to error that affects everything that man does.”
—Charles Sanders Peirce (18391914)
“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 (18471919)