ROL
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ROL::Constraint_SerialSimOpt< Real > Class Template Reference

Unifies the constraint defined on a single time step that are defined through the Constraint_TimeSimOpt interface into a SimOpt constraint for all time. Primarily intended for use in testing the parallel-in-time implementation. More...

#include <ROL_Constraint_SerialSimOpt.hpp>

+ Inheritance diagram for ROL::Constraint_SerialSimOpt< Real >:

Public Member Functions

 Constraint_SerialSimOpt (const Ptr< Con > &con, const V &ui, const V &zi)
 
virtual void value (V &c, const V &u, const V &z, Real &tol) override
 Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More...
 
virtual void solve (V &c, V &u, const V &z, Real &tol) override
 Given \(z\), solve \(c(u,z)=0\) for \(u\). More...
 
virtual void applyJacobian_1 (V &jv, const V &v, const V &u, const V &z, Real &tol) override
 Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More...
 
virtual void applyJacobian_2 (V &jv, const V &v, const V &u, const V &z, Real &tol) override
 Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More...
 
virtual void applyInverseJacobian_1 (V &ijv, const V &v, const V &u, const V &z, Real &tol) override
 Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\). More...
 
virtual void applyAdjointJacobian_1 (V &ajv, const V &v, const V &u, const V &z, Real &tol) override
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface. More...
 
virtual void applyAdjointJacobian_1 (V &ajv, const V &v, const V &u, const V &z, const V &dualv, Real &tol) override
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the secondary interface, for use with dual spaces where the user does not define the dual() operation. More...
 
virtual void applyAdjointJacobian_2 (V &ajv, const V &v, const V &u, const V &z, Real &tol) override
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface. More...
 
virtual void applyAdjointJacobian_2 (V &ajv, const V &v, const V &u, const V &z, const V &dualv, Real &tol) override
 Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the secondary interface, for use with dual spaces where the user does not define the dual() operation. More...
 
virtual void applyInverseAdjointJacobian_1 (V &iajv, const V &v, const V &u, const V &z, Real &tol) override
 Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\). More...
 
virtual void applyAdjointHessian_11 (V &ahwv, const V &w, const V &v, const V &u, const V &z, Real &tol) override
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
virtual void applyAdjointHessian_11 (V &ahwv, const V &w, const V &v, const V &u, const V &z, Real &tol) override
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
virtual void applyAdjointHessian_11 (V &ahwv, const V &w, const V &v, const V &u, const V &z, Real &tol) override
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
virtual void applyAdjointHessian_11 (V &ahwv, const V &w, const V &v, const V &u, const V &z, Real &tol) override
 Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\). More...
 
- Public Member Functions inherited from ROL::ROL::Constraint_SimOpt< Real >
 Constraint_SimOpt ()
 
virtual void update (const Vector< Real > &u, const Vector< Real > &z, bool flag=true, int iter=-1)
 Update constraint functions. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...
 
virtual void update_1 (const Vector< Real > &u, bool flag=true, int iter=-1)
 Update constraint functions with respect to Sim variable. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...
 
virtual void update_2 (const Vector< Real > &z, bool flag=true, int iter=-1)
 Update constraint functions with respect to Opt variable. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...
 
virtual void setSolveParameters (ROL::ParameterList &parlist)
 Set solve parameters. More...
 
virtual void applyAdjointHessian_12 (Vector< Real > &ahwv, const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\). More...
 
virtual void applyAdjointHessian_21 (Vector< Real > &ahwv, const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, Real &tol)
 Apply the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\). More...
 
virtual void applyAdjointHessian_22 (Vector< Real > &ahwv, const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, Real &tol)
 Apply the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\). More...
 
virtual std::vector< Real > solveAugmentedSystem (Vector< Real > &v1, Vector< Real > &v2, const Vector< Real > &b1, const Vector< Real > &b2, const Vector< Real > &x, Real &tol)
 Approximately solves the augmented system

\[ \begin{pmatrix} I & c'(x)^* \\ c'(x) & 0 \end{pmatrix} \begin{pmatrix} v_{1} \\ v_{2} \end{pmatrix} = \begin{pmatrix} b_{1} \\ b_{2} \end{pmatrix} \]

where \(v_{1} \in \mathcal{X}\), \(v_{2} \in \mathcal{C}^*\), \(b_{1} \in \mathcal{X}^*\), \(b_{2} \in \mathcal{C}\), \(I : \mathcal{X} \rightarrow \mathcal{X}^*\) is an identity operator, and \(0 : \mathcal{C}^* \rightarrow \mathcal{C}\) is a zero operator. More...

 
virtual void applyPreconditioner (Vector< Real > &pv, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &g, Real &tol)
 Apply a constraint preconditioner at \(x\), \(P(x) \in L(\mathcal{C}, \mathcal{C})\), to vector \(v\). In general, this preconditioner satisfies the following relationship:

\[ c'(x) c'(x)^* P(x) v \approx v \,. \]

It is used by the solveAugmentedSystem method. More...

 
virtual void update (const Vector< Real > &x, bool flag=true, int iter=-1)
 Update constraint functions. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...
 
virtual void value (Vector< Real > &c, const Vector< Real > &x, Real &tol)
 Evaluate the constraint operator \(c:\mathcal{X} \rightarrow \mathcal{C}\) at \(x\). More...
 
virtual void applyJacobian (Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply the constraint Jacobian at \(x\), \(c'(x) \in L(\mathcal{X}, \mathcal{C})\), to vector \(v\). More...
 
virtual void applyAdjointJacobian (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^*, \mathcal{X}^*)\), to vector \(v\). More...
 
virtual void applyAdjointHessian (Vector< Real > &ahwv, const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
 Apply the derivative of the adjoint of the constraint Jacobian at \(x\) to vector \(u\) in direction \(v\), according to \( v \mapsto c''(x)(v,\cdot)^*u \). More...
 
virtual Real checkSolve (const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, const ROL::Vector< Real > &c, const bool printToStream=true, std::ostream &outStream=std::cout)
 
virtual Real checkAdjointConsistencyJacobian_1 (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const bool printToStream=true, std::ostream &outStream=std::cout)
 Check the consistency of the Jacobian and its adjoint. This is the primary interface. More...
 
virtual Real checkAdjointConsistencyJacobian_1 (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &dualw, const Vector< Real > &dualv, const bool printToStream=true, std::ostream &outStream=std::cout)
 Check the consistency of the Jacobian and its adjoint. This is the secondary interface, for use with dual spaces where the user does not define the dual() operation. More...
 
virtual Real checkAdjointConsistencyJacobian_2 (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const bool printToStream=true, std::ostream &outStream=std::cout)
 Check the consistency of the Jacobian and its adjoint. This is the primary interface. More...
 
virtual Real checkAdjointConsistencyJacobian_2 (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &dualw, const Vector< Real > &dualv, const bool printToStream=true, std::ostream &outStream=std::cout)
 Check the consistency of the Jacobian and its adjoint. This is the secondary interface, for use with dual spaces where the user does not define the dual() operation. More...
 
virtual Real checkInverseJacobian_1 (const Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const bool printToStream=true, std::ostream &outStream=std::cout)
 
virtual Real checkInverseAdjointJacobian_1 (const Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const bool printToStream=true, std::ostream &outStream=std::cout)
 
std::vector< std::vector< Real > > checkApplyJacobian_1 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &jv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 
std::vector< std::vector< Real > > checkApplyJacobian_1 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &jv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
std::vector< std::vector< Real > > checkApplyJacobian_2 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &jv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 
std::vector< std::vector< Real > > checkApplyJacobian_2 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &v, const Vector< Real > &jv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_11 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_11 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_21 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 \( u\in U \), \( z\in Z \), \( p\in C^\ast \), \( v \in U \), \( hv \in U^\ast \) More...
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_21 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 \( u\in U \), \( z\in Z \), \( p\in C^\ast \), \( v \in U \), \( hv \in U^\ast \) More...
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_12 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 \( u\in U \), \( z\in Z \), \( p\in C^\ast \), \( v \in U \), \( hv \in U^\ast \) More...
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_12 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_22 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 
std::vector< std::vector< Real > > checkApplyAdjointHessian_22 (const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &p, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 
- Public Member Functions inherited from ROL::Constraint< Real >
virtual ~Constraint (void)
 
 Constraint (void)
 
virtual void applyAdjointJacobian (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &dualv, Real &tol)
 Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^*, \mathcal{X}^*)\), to vector \(v\). More...
 
void activate (void)
 Turn on constraints. More...
 
void deactivate (void)
 Turn off constraints. More...
 
bool isActivated (void)
 Check if constraints are on. More...
 
virtual std::vector
< std::vector< Real > > 
checkApplyJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &jv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
 Finite-difference check for the constraint Jacobian application. More...
 
virtual std::vector
< std::vector< Real > > 
checkApplyJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &jv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 Finite-difference check for the constraint Jacobian application. More...
 
virtual std::vector
< std::vector< Real > > 
checkApplyAdjointJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &c, const Vector< Real > &ajv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS)
 Finite-difference check for the application of the adjoint of constraint Jacobian. More...
 
virtual Real checkAdjointConsistencyJacobian (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &x, const bool printToStream=true, std::ostream &outStream=std::cout)
 
virtual Real checkAdjointConsistencyJacobian (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &dualw, const Vector< Real > &dualv, const bool printToStream=true, std::ostream &outStream=std::cout)
 
virtual std::vector
< std::vector< Real > > 
checkApplyAdjointHessian (const Vector< Real > &x, const Vector< Real > &u, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &step, const bool printToScreen=true, std::ostream &outStream=std::cout, const int order=1)
 Finite-difference check for the application of the adjoint of constraint Hessian. More...
 
virtual std::vector
< std::vector< Real > > 
checkApplyAdjointHessian (const Vector< Real > &x, const Vector< Real > &u, const Vector< Real > &v, const Vector< Real > &hv, const bool printToScreen=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
 Finite-difference check for the application of the adjoint of constraint Hessian. More...
 
virtual void setParameter (const std::vector< Real > &param)
 

Protected Member Functions

PVpartition (V &x) const
 
const Vpartition (const V &x) const
 
- Protected Member Functions inherited from ROL::Constraint< Real >
const std::vector< Real > getParameter (void) const
 

Private Types

using V = Vector< Real >
 
using PV = PartitionedVector< Real >
 
using Con = Constraint_TimeSimOpt< Real >
 
using size_type = typename PV< Real >::size_type
 

Private Attributes

const Ptr< Concon_
 
const Ptr< Vui_
 
Ptr< Vu0_
 
Pre< Vz0_
 
VectorWorkspace< Real > workspace_
 

Detailed Description

template<typename Real>
class ROL::Constraint_SerialSimOpt< Real >

Unifies the constraint defined on a single time step that are defined through the Constraint_TimeSimOpt interface into a SimOpt constraint for all time. Primarily intended for use in testing the parallel-in-time implementation.

    In contrast to Constraint_PinTSimOpt, where the argument vectors
    are PartitionedVectors with Vector_SimOpt, the approach here is
    to consider the state and control to be of PartitionedVector type
    directly.

NOTE: This class does not address non-autonomous systems as constraints. The formulas involving adjoint Jacobians are almost certainly incorrect in such cases. This will need to be fixed if the Constraint_TimeSimOpt interface can accommodate explicit functions of time. Additionally, opt vectors are assumed to be constant in time on a time step.

Definition at line 79 of file ROL_Constraint_SerialSimOpt.hpp.

Member Typedef Documentation

template<typename Real >
using ROL::Constraint_SerialSimOpt< Real >::V = Vector<Real>
private

Definition at line 81 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
using ROL::Constraint_SerialSimOpt< Real >::PV = PartitionedVector<Real>
private

Definition at line 82 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
using ROL::Constraint_SerialSimOpt< Real >::Con = Constraint_TimeSimOpt<Real>
private

Definition at line 83 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
using ROL::Constraint_SerialSimOpt< Real >::size_type = typename PV<Real>::size_type
private

Definition at line 85 of file ROL_Constraint_SerialSimOpt.hpp.

Constructor & Destructor Documentation

template<typename Real >
ROL::Constraint_SerialSimOpt< Real >::Constraint_SerialSimOpt ( const Ptr< Con > &  con,
const V ui,
const V zi 
)
inline

Definition at line 105 of file ROL_Constraint_SerialSimOpt.hpp.

Member Function Documentation

template<typename Real >
PV& ROL::Constraint_SerialSimOpt< Real >::partition ( V x) const
inlineprotected
template<typename Real >
const V& ROL::Constraint_SerialSimOpt< Real >::partition ( const V x) const
inlineprotected

Definition at line 100 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::value ( V c,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in]uis the constraint argument; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(u,z)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{u} \in \mathcal{U}\), and $ \(\mathsf{z} \in\mathcal{Z}\).


Implements ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 121 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::solve ( V c,
V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Given \(z\), solve \(c(u,z)=0\) for \(u\).

Parameters
[out]cis the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector
[in,out]uis the solution vector; a simulation-space vector
[in]zis the constraint argument; an optimization-space vector
[in,out]tolis a tolerance for inexact evaluations; currently unused

The defualt implementation is Newton's method globalized with a backtracking line search.


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 135 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyJacobian_1 ( V jv,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#192; a constraint-space vector
  @param[in]       v   is a simulation-space vector
  @param[in]       u   is the constraint argument; an simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#197, where

\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 149 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyJacobian_2 ( V jv,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b  \form#192; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#200, where

\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 165 of file ROL_Constraint_SerialSimOpt.hpp.

References ROL::Constraint_SerialSimOpt< Real >::partition().

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyInverseJacobian_1 ( V ijv,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the inverse partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-1} \in L(\mathcal{C}, \mathcal{U})\), to the vector \(v\).

  @param[out]      ijv is the result of applying the inverse constraint Jacobian to @b v at @b  \form#192; a simulation-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#203, where

\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 176 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyAdjointJacobian_1 ( V ajv,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#206, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 199 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyAdjointJacobian_1 ( V ajv,
const V v,
const V u,
const V z,
const V dualv,
Real &  tol 
)
inlineoverridevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^* \in L(\mathcal{C}^*, \mathcal{U}^*)\), to the vector \(v\). This is the secondary interface, for use with dual spaces where the user does not define the dual() operation.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b (u,z); a dual simulation-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in]       dualv  is a vector used for temporary variables; a constraint-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#206, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 226 of file ROL_Constraint_SerialSimOpt.hpp.

References ROL::Constraint_SerialSimOpt< Real >::con_, ROL::Constraint_SerialSimOpt< Real >::partition(), and ROL::Constraint_SerialSimOpt< Real >::u0_.

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyAdjointJacobian_2 ( V ajv,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the primary interface.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#192; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#209, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 252 of file ROL_Constraint_SerialSimOpt.hpp.

References ROL::Constraint_SerialSimOpt< Real >::con_, and ROL::Constraint_SerialSimOpt< Real >::partition().

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyAdjointJacobian_2 ( V ajv,
const V v,
const V u,
const V z,
const V dualv,
Real &  tol 
)
inlineoverridevirtual

Apply the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_z(u,z)^* \in L(\mathcal{C}^*, \mathcal{Z}^*)\), to vector \(v\). This is the secondary interface, for use with dual spaces where the user does not define the dual() operation.

  @param[out]      ajv    is the result of applying the adjoint of the constraint Jacobian to @b v at @b  \form#192; a dual optimization-space vector
  @param[in]       v      is a dual constraint-space vector
  @param[in]       u      is the constraint argument; a simulation-space vector
  @param[in]       z      is the constraint argument; an optimization-space vector
  @param[in]       dualv  is a vector used for temporary variables; a constraint-space vector
  @param[in,out]   tol    is a tolerance for inexact evaluations; currently unused

  On return, \form#209, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 263 of file ROL_Constraint_SerialSimOpt.hpp.

References ROL::Constraint_SerialSimOpt< Real >::con_, and ROL::Constraint_SerialSimOpt< Real >::partition().

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyInverseAdjointJacobian_1 ( V iajv,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the inverse of the adjoint of the partial constraint Jacobian at \((u,z)\), \(c_u(u,z)^{-*} \in L(\mathcal{U}^*, \mathcal{C}^*)\), to the vector \(v\).

  @param[out]      iajv is the result of applying the inverse adjoint of the constraint Jacobian to @b v at @b (u,z); a dual constraint-space vector
  @param[in]       v   is a dual simulation-space vector
  @param[in]       u   is the constraint argument; a simulation-space vector
  @param[in]       z   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#212, where

\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 275 of file ROL_Constraint_SerialSimOpt.hpp.

References ROL::Constraint_SerialSimOpt< Real >::partition().

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyAdjointHessian_11 ( V ahwv,
const V w,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#192 to the vector @b  \form#215 in direction @b  \form#215; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#217, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 307 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyAdjointHessian_11 ( V ahwv,
const V w,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#192 to the vector @b  \form#215 in direction @b  \form#215; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#217, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 313 of file ROL_Constraint_SerialSimOpt.hpp.

References ROL::Vector< Real >::zero().

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyAdjointHessian_11 ( V ahwv,
const V w,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#192 to the vector @b  \form#215 in direction @b  \form#215; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#217, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 318 of file ROL_Constraint_SerialSimOpt.hpp.

References ROL::Vector< Real >::zero().

template<typename Real >
virtual void ROL::Constraint_SerialSimOpt< Real >::applyAdjointHessian_11 ( V ahwv,
const V w,
const V v,
const V u,
const V z,
Real &  tol 
)
inlineoverridevirtual

Apply the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at \((u,z)\) to the vector \(w\) in the direction \(v\), according to \(v\mapsto c_{uu}(u,z)(v,\cdot)^*w\).

  @param[out]      ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint simulation-space Jacobian at @b  \form#192 to the vector @b  \form#215 in direction @b  \form#215; a dual simulation-space vector
  @param[in]       w    is the direction vector; a dual constraint-space vector
  @param[in]       v    is a simulation-space vector
  @param[in]       u    is the constraint argument; a simulation-space vector
  @param[in]       z    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#217, where

\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).


Reimplemented from ROL::ROL::Constraint_SimOpt< Real >.

Definition at line 323 of file ROL_Constraint_SerialSimOpt.hpp.

Member Data Documentation

template<typename Real >
const Ptr<Con> ROL::Constraint_SerialSimOpt< Real >::con_
private
template<typename Real >
const Ptr<V> ROL::Constraint_SerialSimOpt< Real >::ui_
private

Definition at line 90 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
Ptr<V> ROL::Constraint_SerialSimOpt< Real >::u0_
private
template<typename Real >
Pre<V> ROL::Constraint_SerialSimOpt< Real >::z0_
private

Definition at line 92 of file ROL_Constraint_SerialSimOpt.hpp.

template<typename Real >
VectorWorkspace<Real> ROL::Constraint_SerialSimOpt< Real >::workspace_
private

Definition at line 94 of file ROL_Constraint_SerialSimOpt.hpp.


The documentation for this class was generated from the following file: