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

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Next:matrix-p-q-norm ( m p q -- n )


Vocabulary
math.matrices

Inputs
ma matrix
pa positive real number


Outputs
na non-negative real number


Word description
Find the norm (size) of a matrix in 𝑙ₚ ( L^p ) vector space, usually written ∥・∥ₚ. For p ≠ 1, 2, ∞, this is an "entry-wise" norm.

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


Examples
Calls l1-norm:
USING: math.matrices prettyprint ; 4 4 1 <matrix> 1 matrix-p-norm .
4


Falls back to matrix-p-norm-entrywise:
USING: math.functions math.matrices prettyprint ; 2 2 3 <matrix> 1.5 matrix-p-norm 7.559 10e-4 ~ .
t


See also
matrix-l1-norm, matrix-l2-norm, matrix-l-infinity-norm, matrix-p-q-norm

Definition