matrix-p-norm-entrywise ( m p -- n ) (original) (raw)

matrix-p-norm-entrywise ( m p -- n )

Vocabulary
math.matrices

Inputs

m a matrix
p a positive real number

Outputs

n a non-negative real number

Word description
Find the entry-wise norm of a matrix, in 𝑙ₚ (L^p) vector space.

Notes
This word is not an induced or Schatten norm, and it is distinct from all of matrix-l1-norm, matrix-l2-norm, matrix-l-infinity-norm.

Examples

USING: math.matrices prettyprint ; 4 4 1 2 matrix-p-norm-entrywise .
4.0

Definition

USING: kernel math.vectors sequences sequences.deep ;

IN: math.matrices

: matrix-p-norm-entrywise ( m p -- n )
[ flatten1 V{ } like ] dip p-norm-default ; inline