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L^infty-Norm


A vector norm defined for a vector

 x=[x_1; x_2; |; x_n],

with complex entries by

 |x|_infty=max_(i)|x_i|.

The vector norm |x|_infty of the vector x is implemented in the Wolfram Language as Norm[x, Infinity].


See also

L1-Norm, L2-Norm, Vector Norm

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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

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