proxsuite-nlp
0.10.0
A primal-dual augmented Lagrangian-type solver for nonlinear programming on manifolds.
|
Negative orthant, for constraints \(h(x)\leq 0\). More...
#include <proxsuite-nlp/modelling/constraints/negative-orthant.hpp>
Public Types | |
using | Scalar = _Scalar |
using | Base = ConstraintSetTpl<Scalar> |
using | ActiveType = typename Base::ActiveType |
Public Types inherited from proxsuite::nlp::ConstraintSetTpl< _Scalar > | |
using | Scalar |
using | ActiveType |
Public Member Functions | |
NegativeOrthantTpl ()=default | |
NegativeOrthantTpl (const NegativeOrthantTpl &)=default | |
NegativeOrthantTpl & | operator= (const NegativeOrthantTpl &)=default |
NegativeOrthantTpl (NegativeOrthantTpl &&)=default | |
NegativeOrthantTpl & | operator= (NegativeOrthantTpl &&)=default |
void | projection (const ConstVectorRef &z, VectorRef zout) const |
Compute projection of variable z onto the constraint set. | |
void | normalConeProjection (const ConstVectorRef &z, VectorRef zout) const |
Compute projection of z onto the normal cone to the set. The default implementation is just \( \mathrm{id} - P\). | |
void | computeActiveSet (const ConstVectorRef &z, Eigen::Ref< ActiveType > out) const |
The elements of the active set are the components such that \(z_i > 0\). | |
Public Member Functions inherited from proxsuite::nlp::ConstraintSetTpl< _Scalar > | |
ConstraintSetTpl ()=default | |
virtual bool | disableGaussNewton () const |
virtual _Scalar | evaluate (const ConstVectorRef &) const |
virtual void | applyProjectionJacobian (const ConstVectorRef &z, MatrixRef Jout) const |
Apply a jacobian of the projection/proximal operator to a matrix. | |
virtual void | applyNormalConeProjectionJacobian (const ConstVectorRef &z, MatrixRef Jout) const |
Apply the jacobian of the projection on the normal cone. | |
void | setProxParameter (const _Scalar mu) const |
Update proximal parameter; this applies to when this class is a proximal operator that isn't a projection (e.g. \( \ell_1 \)). | |
virtual | ~ConstraintSetTpl ()=default |
bool | operator== (const ConstraintSetTpl< _Scalar > &rhs) |
_Scalar | evaluateMoreauEnvelope (const ConstVectorRef &zin, const ConstVectorRef &zproj) const |
Evaluate the Moreau envelope with parameter mu for the given contraint set or nonsmooth penalty \(g\) at point zin . | |
_Scalar | computeMoreauEnvelope (const ConstVectorRef &zin, VectorRef zprojout) const |
Evaluate the Moreau envelope with parameter mu for the given contraint set or nonsmooth penalty \(g\) at point zin . This variant evaluates the prox map. | |
_Scalar | mu () const |
_Scalar | mu_inv () const |
Public Attributes | |
Scalar | |
Public Attributes inherited from proxsuite::nlp::ConstraintSetTpl< _Scalar > | |
Scalar | |
Additional Inherited Members | |
Protected Attributes inherited from proxsuite::nlp::ConstraintSetTpl< _Scalar > | |
_Scalar | mu_ |
_Scalar | mu_inv_ |
Negative orthant, for constraints \(h(x)\leq 0\).
Negative orthant, corresponding to constraints of the form
\[ h(x) \leq 0 \]
where \(h : \mathcal{X} \to \RR^p\) is a given residual.
Definition at line 19 of file negative-orthant.hpp.
using proxsuite::nlp::NegativeOrthantTpl< _Scalar >::Scalar = _Scalar |
Definition at line 20 of file negative-orthant.hpp.
using proxsuite::nlp::NegativeOrthantTpl< _Scalar >::Base = ConstraintSetTpl<Scalar> |
Definition at line 29 of file negative-orthant.hpp.
using proxsuite::nlp::NegativeOrthantTpl< _Scalar >::ActiveType = typename Base::ActiveType |
Definition at line 30 of file negative-orthant.hpp.
|
default |
|
default |
|
default |
|
default |
|
default |
|
inlinevirtual |
Compute projection of variable z
onto the constraint set.
[in] | z | Input vector |
[out] | zout | Output projection |
Implements proxsuite::nlp::ConstraintSetTpl< _Scalar >.
Definition at line 32 of file negative-orthant.hpp.
|
inlinevirtual |
Compute projection of z
onto the normal cone to the set. The default implementation is just \( \mathrm{id} - P\).
[in] | z | Input vector |
[out] | zout | Output projection on the normal projection |
Implements proxsuite::nlp::ConstraintSetTpl< _Scalar >.
Definition at line 36 of file negative-orthant.hpp.
|
inlinevirtual |
The elements of the active set are the components such that \(z_i > 0\).
Implements proxsuite::nlp::ConstraintSetTpl< _Scalar >.
Definition at line 41 of file negative-orthant.hpp.
proxsuite::nlp::NegativeOrthantTpl< _Scalar >::Scalar |
Definition at line 21 of file negative-orthant.hpp.