The 
-norm is a vector
norm defined for a vector
![x=[x_1; x_2; |; x_n],](/https/mathworld.wolfram.com/images/equations/L1-Norm/NumberedEquation1.svg) |
with complex entries by
 |
The 
-norm 
of a vector 
is implemented in the Wolfram
Language as Norm[x,
1].
L^1-Norm
See also
L2-Norm, L∞-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.Referenced on Wolfram|Alpha
L^1-NormCite this as:
Weisstein, Eric W. "L^1-Norm." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/L1-Norm.html