matrix-p-norm ( m p -- n ) (original) (raw)
Inputs
| m | a matrix |
|---|---|
| p | a positive real number |
Outputs
| n | a 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 1 matrix-p-norm .
4
Falls back to matrix-p-norm-entrywise:
USING: math.functions math.matrices prettyprint ; 2 2 3 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