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
inspace
.- Parameters:
- space
LinearSpace
orProductSpace
ofLinearSpace
spaces Domain of the functional F
- space
- Returns:
- prox_factoryfunction
Factory for the proximal operator to be initialized.
See also
proj_l1
orthogonal projection onto balls in the 1-norm
Notes
The convex conjugate of the functional
is in the case of scalar-valued functions given by the indicator function of the unit 1-norm ball