ROL
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#include <ROL_Quartic.hpp>
Public Member Functions | |
Constraint_Quartic () | |
void | value (std::vector< Real > &c, const std::vector< Real > &x, Real &tol) |
void | applyJacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol) |
void | applyAdjointJacobian (std::vector< Real > &ajv, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol) |
Public Member Functions inherited from ROL::StdConstraint< Real > | |
virtual | ~StdConstraint () |
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 | update (const std::vector< Real > &x, bool flag=true, int iter=-1) |
void | value (Vector< Real > &c, const Vector< Real > &x, Real &tol) |
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) |
Apply the constraint Jacobian at \(x\), \(c'(x) \in L(\mathcal{X}, \mathcal{C})\), to vector \(v\). More... | |
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... | |
void | applyAdjointHessian (Vector< Real > &ahuv, const Vector< Real > &u, 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 void | applyAdjointHessian (std::vector< Real > &ahuv, const std::vector< Real > &u, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol) |
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 std::vector< Real > | solveAugmentedSystem (std::vector< Real > &v1, std::vector< Real > &v2, const std::vector< Real > &b1, const std::vector< Real > &b2, const std::vector< Real > &x, Real tol) |
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... | |
virtual void | applyPreconditioner (std::vector< Real > &pv, const std::vector< Real > &v, const std::vector< Real > &x, const std::vector< Real > &g, Real &tol) |
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 |
Definition at line 89 of file ROL_Quartic.hpp.
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inline |
Definition at line 91 of file ROL_Quartic.hpp.
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inlinevirtual |
Implements ROL::StdConstraint< Real >.
Definition at line 93 of file ROL_Quartic.hpp.
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inlinevirtual |
Reimplemented from ROL::StdConstraint< Real >.
Definition at line 99 of file ROL_Quartic.hpp.
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inlinevirtual |
Reimplemented from ROL::StdConstraint< Real >.
Definition at line 105 of file ROL_Quartic.hpp.