proximal_convex_conj_linfty

odl.solvers.nonsmooth.proximal_operators.proximal_convex_conj_linfty(space)[source]

Proximal operator factory of the Linfty norm/distance convex conjugate.

Implements the proximal operator of the convex conjugate of the functional

F(x) = \|x\|_\infty

with x in space.

Parameters

spaceLinearSpace or ProductSpace of LinearSpace spaces: Domain of the functional F

The convex conjugate $F^*$ of the functional

$F(x) = \|x\|_\infty.$

is in the case of scalar-valued functions given by the indicator function of the unit 1-norm ball

$F^*(y) = \iota_{B_1} \big( y \big).$