matrix-l2-norm ( m -- n )
Matrix operations

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Next:matrix-l-infinity-norm ( m -- n )


Vocabulary
math.matrices

Inputs
ma matrix


Outputs
na number


Word description
Find the norm (size) of a matrix in 𝑙₂ ( L^2 ) vector space, usually written ∥・∥₂.

This is the matrix norm when p=2, and is the square root of the sums of the squares of all the elements of the matrix.

Notes
This norm is sometimes called the Hilbert-Schmidt norm.
User code should call the generic p-norm instead.
This word is the matrix-specific variant of l2-norm.
This word is the p = 2 variant of matrix-p-norm.
This word is the transpose variant of l1-norm.
This word is intended for use with "flat" (2-dimensional) matrices.


Examples
USING: math.matrices prettyprint ; { { 1 1 } { 1 1 } } matrix-l2-norm .
2.0


See also
matrix-l1-norm, matrix-l-infinity-norm, matrix-p-norm, matrix-p-q-norm

Definition