p-norm ( k p -- x )
Matrix operations

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l-infinity-norm ( k -- x )

Vocabulary
math.vectors

Inputs

k	a sequence of numbers
p	a positive real number

Outputs

x	a non-negative real number

Generic word contract
Computes the norm (size) of k in 𝑙ₚ (L^p) vector space, usually written ∥･∥ₚ.

See also
norm-sq, l1-norm, norm, l-infinity-norm

Definition

USING: combinators kernel math sequences ;

IN: math.vectors

: p-norm ( k p -- x )
    {
        { [ dup 1 = ] [ drop l1-norm ] }
        { [ dup 2 = ] [ drop l2-norm ] }
        { [ dup fp-infinity? ] [ drop maximum ] }
        [ p-norm-default ]
    } cond ;