proxtoolbox.ProxOperators¶

Created on Thu Jan 28 14:02:02 2016

@author: rebecca

The “ProxOperators”-module contains all proximal operators that are already implemented in the ProxToolbox.

class proxtoolbox.ProxOperators.P_diag(config)[source]¶

Projection onto the diagonal of a product space

Initialization

Parameters:	config : dict - Dictionary containing the problem configuration. It must contain the following mappings: ‘Nx’: int Row-dim of the product space elements ‘Ny’: int Column-dim of the product space elements ‘Nz’: int Depth-dim of the product space elements ‘dim’: int Size of the product space

work(u)[source]¶: Projects the input data onto the diagonal of the product space given by its dimensions.

class proxtoolbox.ProxOperators.P_parallel(config)[source]¶

Projection onto the diagonal of a product space

Initialization

Parameters:

config : dict - Dictionary containing the problem configuration. It must contain the following mappings:

‘Nx’: int: Row-dim of the product space elements
‘Ny’: int: Column-dim of the product space elements
‘Nz’: int: Depth-dim of the product space elements
‘dim’: int: Size of the product space
‘projs’: sequence of ProxOperator: Sequence of prox operators to be used. (The classes, no instances)

Sequentially applies the projections of ‘self.proj’ to the input data.

Parameters:	u : array_like - Input
Returns:	u_parallel : array_like - Projection

proxtoolbox.ProxOperators.magproj(u, constr)[source]¶

Projection operator onto a magnitude constraint

Parameters:	u : array_like - The function to be projected onto constr (can be complex) constr : array_like - A nonnegative array that is the magnitude constraint
Returns:	array_like - The projection

proxtoolbox.ProxOperators.bregProj(args)[source]¶

Bregman projection operator onto a hyperplane given defined by all x such that u*x=a.

The bregman projection is to the standard bregman function ||.||**p

Parameters:

ProxToolbox