Inheritance diagram for redConstraint< Real >:
Public Member Functions | |
| redConstraint (void) | |
| void | value (ROL::Vector< Real > &c, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol) |
| Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\). More... | |
| void | applyJacobian_1 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol) |
| Apply the partial constraint Jacobian at \((u,z)\), \(c_u(u,z) \in L(\mathcal{U}, \mathcal{C})\), to the vector \(v\). More... | |
| void | applyJacobian_2 (ROL::Vector< Real > &jv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol) |
| Apply the partial constraint Jacobian at \((u,z)\), \(c_z(u,z) \in L(\mathcal{Z}, \mathcal{C})\), to the vector \(v\). More... | |
| void | applyAdjointJacobian_1 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol) |
| 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... | |
| void | applyAdjointJacobian_2 (ROL::Vector< Real > &ajv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol) |
| 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... | |
| void | applyInverseJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol) |
| 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... | |
| void | applyInverseAdjointJacobian_1 (ROL::Vector< Real > &ijv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol) |
| 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... | |
| void | applyAdjointHessian_11 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::Vector< Real > &z, Real &tol) |
| 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... | |
| void | applyAdjointHessian_12 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::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... | |
| void | applyAdjointHessian_21 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::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... | |
| void | applyAdjointHessian_22 (ROL::Vector< Real > &ahwv, const ROL::Vector< Real > &w, const ROL::Vector< Real > &v, const ROL::Vector< Real > &u, const ROL::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... | |
| Public Member Functions inherited from 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 | solve (Vector< Real > &c, Vector< Real > &u, const Vector< Real > &z, Real &tol) |
| Given \(z\), solve \(c(u,z)=0\) for \(u\). More... | |
| virtual void | setSolveParameters (ParameterList &parlist) |
| Set solve parameters. More... | |
| virtual void | applyAdjointJacobian_1 (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &dualv, Real &tol) |
| 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 (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &u, const Vector< Real > &z, const Vector< Real > &dualv, Real &tol) |
| 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 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 Vector< Real > &u, const Vector< Real > &z, const 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 > ¶m) |
Additional Inherited Members | |
| Protected Member Functions inherited from ROL::Constraint< Real > | |
| const std::vector< Real > | getParameter (void) const |
| Protected Attributes inherited from ROL::Constraint_SimOpt< Real > | |
| Real | atol_ |
| Real | rtol_ |
| Real | stol_ |
| Real | factor_ |
| Real | decr_ |
| int | maxit_ |
| bool | print_ |
| bool | zero_ |
| int | solverType_ |
| bool | firstSolve_ |
Detailed Description
template<class Real>
class redConstraint< Real >
Definition at line 194 of file function/test_10.cpp.
Constructor & Destructor Documentation
template<class Real >
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inline |
Definition at line 196 of file function/test_10.cpp.
Member Function Documentation
template<class Real >
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inlinevirtual |
Evaluate the constraint operator \(c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}\) at \((u,z)\).
- Parameters
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[out] c is the result of evaluating the constraint operator at \((u,z)\); a constraint-space vector [in] u is the constraint argument; a simulation-space vector [in] z is the constraint argument; an optimization-space vector [in,out] tol is 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::Constraint_SimOpt< Real >.
Definition at line 198 of file function/test_10.cpp.
template<class Real >
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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#196; 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#201, where
\(v \in \mathcal{U}\), \(\mathsf{jv} \in \mathcal{C}\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 211 of file function/test_10.cpp.
template<class Real >
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inlinevirtual |
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#196; 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#204, where
\(v \in \mathcal{Z}\), \(\mathsf{jv} \in \mathcal{C}\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 224 of file function/test_10.cpp.
template<class Real >
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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#210, where
\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{U}^*\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 239 of file function/test_10.cpp.
template<class Real >
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inlinevirtual |
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#196; 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#213, where
\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{Z}^*\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 252 of file function/test_10.cpp.
template<class Real >
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inlinevirtual |
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#196; 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#207, where
\(v \in \mathcal{C}\), \(\mathsf{ijv} \in \mathcal{U}\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 267 of file function/test_10.cpp.
template<class Real >
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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#216, where
\(v \in \mathcal{U}^*\), \(\mathsf{iajv} \in \mathcal{C}^*\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 280 of file function/test_10.cpp.
template<class Real >
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inlinevirtual |
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#196 to the vector @b \form#219 in direction @b \form#219; 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#221, where
\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 293 of file function/test_10.cpp.
template<class Real >
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inlinevirtual |
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 \(v\mapsto c_{uz}(u,z)(v,\cdot)^*w\).
@param[out] ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint simulation-space Jacobian at @b \form#196 to the vector @b \form#219 in direction @b \form#219; a dual optimization-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#225, where
\(w \in \mathcal{C}^*\), \(v \in \mathcal{U}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 308 of file function/test_10.cpp.
template<class Real >
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inlinevirtual |
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 \(v\mapsto c_{zu}(u,z)(v,\cdot)^*w\).
@param[out] ahwv is the result of applying the simulation-space derivative of the adjoint of the constraint optimization-space Jacobian at @b \form#196 to the vector @b \form#219 in direction @b \form#219; a dual simulation-space vector @param[in] w is the direction vector; a dual constraint-space vector @param[in] v is a 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#228, where
\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{U}^*\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 323 of file function/test_10.cpp.
template<class Real >
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inlinevirtual |
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 \(v\mapsto c_{zz}(u,z)(v,\cdot)^*w\).
@param[out] ahwv is the result of applying the optimization-space derivative of the adjoint of the constraint optimization-space Jacobian at @b \form#196 to the vector @b \form#219 in direction @b \form#219; a dual optimization-space vector @param[in] w is the direction vector; a dual constraint-space vector @param[in] v is a 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#230, where
\(w \in \mathcal{C}^*\), \(v \in \mathcal{Z}\), and \(\mathsf{ahwv} \in \mathcal{Z}^*\).
Reimplemented from ROL::Constraint_SimOpt< Real >.
Definition at line 338 of file function/test_10.cpp.
The documentation for this class was generated from the following file:
