Given a Square Matrix with Complex (or Real) entries, a Matrix Norm is a Nonnegative number associated with having the properties
The Maximum Absolute Column Sum Norm
, Spectral Norm
, and
Maximum Absolute Row Sum Norm
satisfy
See also Compatible, Hilbert-Schmidt Norm, Maximum Absolute Column Sum Norm, Maximum Absolute Row Sum Norm, Natural Norm, Norm, Polynomial Norm, Spectral Norm, Spectral Radius, Vector Norm
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA:
Academic Press, pp. 1114-1125, 1979.