matrix-l1-norm ( m -- n )
Matrix operations

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Vocabulary
math.matrices

Inputs
ma matrix


Outputs
na number


Word description
Find the norm (size) of a matrix in 𝑙₁ ( L^₁ ) vector space, usually written ∥・∥₁.

This is the matrix norm when p=1, and is the overall maximum of the sums of the columns.

Notes
User code should call the generic l1-norm instead.
This word is the matrix-specific variant of l1-norm.
This word is the p = 1 variant of matrix-p-norm.
This word is the transpose variant of matrix-l-infinity-norm.
This word is intended for use with "flat" (2-dimensional) matrices.


Examples
USING: math.matrices prettyprint ; { { 2 -2 1 } { 1 3 -1 } { 2 -4 2 } } matrix-l1-norm .
9


See also
matrix-l2-norm, matrix-l-infinity-norm, matrix-p-norm, matrix-p-q-norm

Definition