# List of Methods¶

This section gives an overview of all the methods for each abstract class (and thus all inherited classes). All the core methods (i.e. with “_”) can be reimplemented in any derived class (if relevant). Otherwise the default implementation of the mother class is used.

Note the applyJacobianT() method of Map becomes sealed (i.e. not re-implementable in derived classes) from the level of LinOp and Cost. The reason is that for these classes, the Jacobian is respectively the adjoint and the gradient. Instead, the methods applyAdjoint() and applyGrad() are implemented.

## Map¶

Interface Methods

Core Methods

Description

apply()

apply_()

Apply the Map to the given input x

applyJacobianT()

applyJacobianT_()

Apply the transpose of the Jacobian operator at x
to a given vector v.

applyInverse()

applyInverse_()

Apply the inverse Map to the given input x

makeInversion()

makeInversion_()

Build the inverse Map

makeComposition()

makeComposition_()

Compose a Map with another Map.

plus()

plus_()

minus()

minus_()

mpower()

mpower_()

overload ^ operator for Maps (i.e. M.^-1 build the
inverse Map).

mtimes()

N/A

overload * operator for Maps. If the input x is
an array, calls apply(x). If it is a Map
object, calls makeComposition(x).

times()

times_()

size()

N/A

## LinOp¶

Interface Methods

Core Methods

Description

apply()

apply_()

Inherited from Map

Apply the adjoint operator to point x

applyHtH()

applyHtH_()

Apply the HtH operator to point x

applyHHt()

applyHHt_()

Apply the HHt operator to point x

Apply the inverse of adjoint operator to point x

Build a LinOp that implements the adjoint.

makeHtH()

makeHtH_()

Build a LinOp that implements HtH.

makeHHt()

makeHHt_()

Build a LinOp that implements HHt.

applyInverse()

applyInverse_()

Inherited from Map

makeInversion()

makeInversion_()

Inherited from Map

makeComposition()

makeComposition_()

Inherited from Map

plus()

plus_()

Inherited from Map

minus()

minus_()

Inherited from Map

mpower()

mpower_()

Inherited from Map

mtimes()

N/A

Inherited from Map

times()

times_()

size()

N/A

Inherited from Map

## Cost¶

Interface Methods

Core Methods

Description

apply()

apply_()

Inherited from Map

Apply the gradient of the cost to the given x.

applyProx()

applyProx_()

Apply the prox of the cost to the given x.

applyProxFench()

applyProxFench_()

Apply the prox of the Fenchel transform of the
cost to the given x.

applyInverse()

applyInverse_()

Inherited from Map

makeComposition()

makeComposition_()

Inherited from Map

plus()

plus_()

Inherited from Map

minus()

minus_()

Inherited from Map

mpower()

mpower_()

Inherited from Map

mtimes()

N/A

Inherited from Map

times()

times_()

size()

N/A

Inherited from Map

## Opti¶

Interface Methods

Description

run()

Run the algorithm from a given initial point.

initialize()

Initialize the algorithm (e.g. auxilliary var).

doIteration()

Performs one iteration of the algorithm.

updateParams()

Update algorithm parameters (e.g. descent step).

starting_verb()

Display starting message.

ending_verb()

Display ending message.