Get Math Help

GET TUTORING NEAR ME!

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Spectral Norm

    Definition

    The natural norm induced by the L^2-norm. Let A^H be the conjugate transpose of the square matrix A, so that (a_(i j))^H = (a^__(j i)), then the spectral norm is defined as the square root of the maximum eigenvalue of A^H A, i.e., left double bracketing bar A right double bracketing bar _2 | = | (maximum eigenvalue of A^H A)^(1/2) | = | max_( left bracketing bar x right bracketing bar _2 !=0) left bracketing bar A x right bracketing bar _2/ left bracketing bar x right bracketing bar _2, This matrix norm is implemented as Norm[m, 2].

    Related Wolfram Language symbol

    Norm

    Find the right fit or it’s free.

    We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.