See also
L2-Norm,
Matrix Norm,
Maximum Absolute Column Sum
Norm,
Maximum Absolute Row Sum Norm
Explore with Wolfram|Alpha
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press,
p. 1115, 2000.Horn, R. A. and Johnson, C. R. "Norms
for Vectors and Matrices." Ch. 5 in Matrix
Analysis. Cambridge, England: Cambridge University Press, 1990.Strang,
G. §6.2 and 7.2 in Linear
Algebra and Its Applications, 4th ed. New York: Academic Press, 1980.Referenced
on Wolfram|Alpha
Spectral Norm
Cite this as:
Weisstein, Eric W. "Spectral Norm." From
MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SpectralNorm.html
Subject classifications
be the conjugate
transpose of the square matrix 
, so that 
, then the spectral norm is defined as
the square root of the maximum eigenvalue
of 
, i.e.,
