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Hilbert-Schmidt Norm

The Hilbert-Schmidt norm of a matrix A is a matrix norm defined by

||A||_(HS)=sqrt(sum_(i,j)a_(ij)^2).

See also

Frobenius Norm, Hilbert-Schmidt Operator, Matrix Norm

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References

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

Hilbert-Schmidt Norm

Cite this as:

Weisstein, Eric W. "Hilbert-Schmidt Norm." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Hilbert-SchmidtNorm.html

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