Matrix Norm - Consistent Norms

Consistent Norms

A matrix norm on is called consistent with a vector norm on and a vector norm on if:

for all . All induced norms are consistent by definition.

Read more about this topic:  Matrix Norm

Famous quotes containing the words consistent and/or norms:

    Consistency is contrary to nature, contrary to life. The only completely consistent people are the dead.
    Aldous Huxley (1894–1963)

    There is a totalitarian regime inside every one of us. We are ruled by a ruthless politburo which sets ours norms and drives us from one five-year plan to another. The autonomous individual who has to justify his existence by his own efforts is in eternal bondage to himself.
    Eric Hoffer (1902–1983)