A vector norm defined for a vector
![x=[x_1; x_2; |; x_n],](/images/equations/L-Infinity-Norm/NumberedEquation1.svg) |
with complex entries by
 |
The vector norm 
of the vector 
is implemented in the Wolfram Language
as Norm[x,
Infinity].
L^infty-Norm
See also
L1-Norm, L2-Norm, Vector NormExplore with Wolfram|Alpha
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, pp. 1114-1125, 2000.Horn, R. A. and Johnson, C. R. "Norms for Vectors and Matrices." Ch. 5 in Matrix Analysis. Cambridge, England: Cambridge University Press, 1990.Cite this as:
Weisstein, Eric W. "L^infty-Norm." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/L-Infinity-Norm.html