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 <matrix> 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