Reduce the input of a linear constraint based on the active set associated with a vector \(x\), i.e., let \(\mathcal{I}\) denote the inactive set associated with \(x\) and the bounds \(\ell\le u\), then. More...
#include <ROL_ReducedLinearConstraint.hpp>
Inheritance diagram for ROL::ReducedLinearConstraint< Real >:
Public Member Functions | |
| ReducedLinearConstraint (const Ptr< Constraint< Real >> &con, const Ptr< BoundConstraint< Real >> &bnd, const Ptr< const Vector< Real >> &x) | |
| void | setX (const Ptr< const Vector< Real >> &x) |
| void | value (Vector< Real > &c, const Vector< Real > &x, Real &tol) override |
| Evaluate the constraint operator \(c:\mathcal{X} \rightarrow \mathcal{C}\) at \(x\). More... | |
| void | applyJacobian (Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) override |
| Apply the constraint Jacobian at \(x\), \(c'(x) \in L(\mathcal{X}, \mathcal{C})\), to vector \(v\). More... | |
| void | applyAdjointJacobian (Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &x, Real &tol) override |
| Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^*, \mathcal{X}^*)\), to vector \(v\). More... | |
| void | applyAdjointHessian (Vector< Real > &ahuv, const Vector< Real > &u, const Vector< Real > &v, const Vector< Real > &x, Real &tol) override |
| 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... | |
| Public Member Functions inherited from ROL::Constraint< Real > | |
| virtual | ~Constraint (void) |
| Constraint (void) | |
| virtual void | update (const Vector< Real > &x, UpdateType type, int iter=-1) |
| Update constraint function. 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 | 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... | |
| 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 or Riesz 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 \(v\). Ideally, this preconditioner satisfies the following relationship:
\[ \left[c'(x) \circ R \circ c'(x)^* \circ P(x)\right] v = v \,, \] where R is the appropriate Riesz map in \(L(\mathcal{X}^*, \mathcal{X})\). It is used by the solveAugmentedSystem method. 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 > ¶m) |
Private Attributes | |
| const Ptr< Constraint< Real > > | con_ |
| const Ptr< BoundConstraint < Real > > | bnd_ |
| Ptr< const Vector< Real > > | x_ |
| const Ptr< Vector< Real > > | prim_ |
Additional Inherited Members | |
| Protected Member Functions inherited from ROL::Constraint< Real > | |
| const std::vector< Real > | getParameter (void) const |
Detailed Description
template<typename Real>
class ROL::ReducedLinearConstraint< Real >
Reduce the input of a linear constraint based on the active set associated with a vector \(x\), i.e., let \(\mathcal{I}\) denote the inactive set associated with \(x\) and the bounds \(\ell\le u\), then.
\[ C(v) = c(v_\mathcal{I}), \]
where \form#122 denotes the vector that is equal to
\(v\) on \(\mathcal{I}\) and zero otherwise.
Definition at line 67 of file ROL_ReducedLinearConstraint.hpp.
Constructor & Destructor Documentation
| ROL::ReducedLinearConstraint< Real >::ReducedLinearConstraint | ( | const Ptr< Constraint< Real >> & | con, |
| const Ptr< BoundConstraint< Real >> & | bnd, | ||
| const Ptr< const Vector< Real >> & | x | ||
| ) |
Definition at line 50 of file ROL_ReducedLinearConstraint_Def.hpp.
Member Function Documentation
| void ROL::ReducedLinearConstraint< Real >::setX | ( | const Ptr< const Vector< Real >> & | x | ) |
Definition at line 56 of file ROL_ReducedLinearConstraint_Def.hpp.
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overridevirtual |
Evaluate the constraint operator \(c:\mathcal{X} \rightarrow \mathcal{C}\) at \(x\).
- Parameters
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[out] c is the result of evaluating the constraint operator at x; a constraint-space vector [in] x is the constraint argument; an optimization-space vector [in,out] tol is a tolerance for inexact evaluations; currently unused
On return, \(\mathsf{c} = c(x)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{x} \in \mathcal{X}\).
Implements ROL::Constraint< Real >.
Definition at line 61 of file ROL_ReducedLinearConstraint_Def.hpp.
References zero.
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overridevirtual |
Apply the constraint Jacobian at \(x\), \(c'(x) \in L(\mathcal{X}, \mathcal{C})\), to vector \(v\).
@param[out] jv is the result of applying the constraint Jacobian to @b v at @b x; a constraint-space vector @param[in] v is an optimization-space vector @param[in] x is the constraint argument; an optimization-space vector @param[in,out] tol is a tolerance for inexact evaluations; currently unused On return, \form#91, where
\(v \in \mathcal{X}\), \(\mathsf{jv} \in \mathcal{C}\).
The default implementation is a finite-difference approximation.
Reimplemented from ROL::Constraint< Real >.
Definition at line 69 of file ROL_ReducedLinearConstraint_Def.hpp.
References zero.
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overridevirtual |
Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^*, \mathcal{X}^*)\), to vector \(v\).
@param[out] ajv is the result of applying the adjoint of the constraint Jacobian to @b v at @b x; a dual optimization-space vector @param[in] v is a dual constraint-space vector @param[in] x is the constraint argument; an optimization-space vector @param[in,out] tol is a tolerance for inexact evaluations; currently unused On return, \form#95, where
\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{X}^*\).
The default implementation is a finite-difference approximation.
Reimplemented from ROL::Constraint< Real >.
Definition at line 79 of file ROL_ReducedLinearConstraint_Def.hpp.
References zero.
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overridevirtual |
Apply the derivative of the adjoint of the constraint Jacobian at \(x\) to vector \(u\) in direction \(v\), according to \( v \mapsto c''(x)(v,\cdot)^*u \).
@param[out] ahuv is the result of applying the derivative of the adjoint of the constraint Jacobian at @b x to vector @b u in direction @b v; a dual optimization-space vector @param[in] u is the direction vector; a dual constraint-space vector @param[in] v is an optimization-space vector @param[in] x is the constraint argument; an optimization-space vector @param[in,out] tol is a tolerance for inexact evaluations; currently unused On return, \form#100, where
\(u \in \mathcal{C}^*\), \(v \in \mathcal{X}\), and \(\mathsf{ahuv} \in \mathcal{X}^*\).
The default implementation is a finite-difference approximation based on the adjoint Jacobian.
Reimplemented from ROL::Constraint< Real >.
Definition at line 88 of file ROL_ReducedLinearConstraint_Def.hpp.
References ROL::Vector< Real >::zero().
Member Data Documentation
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private |
Definition at line 69 of file ROL_ReducedLinearConstraint.hpp.
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private |
Definition at line 70 of file ROL_ReducedLinearConstraint.hpp.
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private |
Definition at line 71 of file ROL_ReducedLinearConstraint.hpp.
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private |
Definition at line 72 of file ROL_ReducedLinearConstraint.hpp.
The documentation for this class was generated from the following files:
