The MixedNorm atom.

Source: R/atoms.R

The \(l_{p,q}\) norm of X, \((\sum_k (\sum_l ||X_{k,l}||^p)^{q/p})^{1/q}\).

MixedNorm(X, p = 2, q = 1)

Arguments

X

The matrix to take the \(l_{p,q}\) norm of

p

The type of inner norm

q

The type of outer norm

Value

Returns the mixed norm of X with specified parameters p and q