Defines the constraint operator interface for simulation-based optimization. More...

#include <ROL_Constraint_SimOpt.hpp>

Inheritance diagram for ROL::Constraint_SimOpt< Real >:

Public Member Functions
	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 (const Vector< Real > &u, const Vector< Real > &z, UpdateType type, int iter=-1)

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_1 (const Vector< Real > &u, UpdateType type, int iter=-1)

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	update_2 (const Vector< Real > &z, UpdateType type, int iter=-1)

virtual void	solve_update (const Vector< Real > &u, const Vector< Real > &z, UpdateType type, int iter=-1)
	Update SimOpt constraint during solve (disconnected from optimization updates). More...

virtual void	value (Vector< Real > &c, const Vector< Real > &u, const Vector< Real > &z, Real &tol)=0
	Evaluate the constraint operator $c:\mathcal{U}\times\mathcal{Z} \rightarrow \mathcal{C}$ at $(u,z)$. 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	applyJacobian_1 (Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &u, const 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...

virtual void	applyJacobian_2 (Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &u, const 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...

virtual void	applyInverseJacobian_1 (Vector< Real > &ijv, const Vector< Real > &v, const Vector< Real > &u, const 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...

virtual void	applyAdjointJacobian_1 (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &u, const 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...

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, 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...

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 void	applyInverseAdjointJacobian_1 (Vector< Real > &iajv, const Vector< Real > &v, const Vector< Real > &u, const 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...

virtual void	applyAdjointHessian_11 (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 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_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	update (const Vector< Real > &x, UpdateType type, int iter=-1)
	Update constraint function. 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 > &param)

Protected Attributes
Real	atol_

Real	rtol_

Real	stol_

Real	factor_

Real	decr_

int	maxit_

bool	print_

bool	zero_

int	solverType_

bool	firstSolve_

Private Attributes
Ptr< Vector< Real > >	unew_

Ptr< Vector< Real > >	jv_

const Real	DEFAULT_atol_

const Real	DEFAULT_rtol_

const Real	DEFAULT_stol_

const Real	DEFAULT_factor_

const Real	DEFAULT_decr_

const int	DEFAULT_maxit_

const bool	DEFAULT_print_

const bool	DEFAULT_zero_

const int	DEFAULT_solverType_

Additional Inherited Members
Protected Member Functions inherited from ROL::Constraint< Real >
const std::vector< Real >	getParameter (void) const

Detailed Description

template<class Real>
class ROL::Constraint_SimOpt< Real >

Defines the constraint operator interface for simulation-based optimization.

This constraint interface inherits from ROL_Constraint, for the use case when $\mathcal{X}=\mathcal{U}\times\mathcal{Z}$ where $\mathcal{U}$ and $\mathcal{Z}$ are Banach spaces. $\mathcal{U}$ denotes the "simulation space" and $\mathcal{Z}$ denotes the "optimization space" (of designs, controls, parameters). The simulation-based constraints are of the form

\[ c(u,z) = 0 \,. \]

The basic operator interface, to be implemented by the user, requires:

value – constraint evaluation.
applyJacobian_1 – action of the partial constraint Jacobian –derivatives are with respect to the first component $\mathcal{U}$;
applyJacobian_2 – action of the partial constraint Jacobian –derivatives are with respect to the second component $\mathcal{Z}$;
applyAdjointJacobian_1 – action of the adjoint of the partial constraint Jacobian –derivatives are with respect to the first component $\mathcal{U}$;
applyAdjointJacobian_2 – action of the adjoint of the partial constraint Jacobian –derivatives are with respect to the second component $\mathcal{Z}$;

The user may also overload:

applyAdjointHessian_11 – action of the adjoint of the partial constraint Hessian –derivatives are with respect to the first component only;
applyAdjointHessian_12 – action of the adjoint of the partial constraint Hessian –derivatives are with respect to the first and second components;
applyAdjointHessian_21 – action of the adjoint of the partial constraint Hessian –derivatives are with respect to the second and first components;
applyAdjointHessian_22 – action of the adjoint of the partial constraint Hessian –derivatives are with respect to the second component only;
solveAugmentedSystem – solution of the augmented system –the default is an iterative scheme based on the action of the Jacobian and its adjoint.
applyPreconditioner – action of a constraint preconditioner –the default is null-op.

Definition at line 21 of file ROL_Constraint_SimOpt.hpp.

Constructor & Destructor Documentation

template<class Real >

ROL::Constraint_SimOpt< Real >::Constraint_SimOpt ( )

inline

Definition at line 108 of file ROL_Constraint_SimOpt.hpp.

Member Function Documentation

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::update	(	const Vector< Real > &	u,
		const Vector< Real > &	z,
		bool	flag = `true`,
		int	iter = `-1`
	)

inlinevirtual

Update constraint functions. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count.

Definition at line 129 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::update_1(), and ROL::Constraint_SimOpt< Real >::update_2().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::update	(	const Vector< Real > &	u,
		const Vector< Real > &	z,
		UpdateType	type,
		int	iter = `-1`
	)

inlinevirtual

Definition at line 133 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::update_1(), and ROL::Constraint_SimOpt< Real >::update_2().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::update_1	(	const Vector< Real > &	u,
		bool	flag = `true`,
		int	iter = `-1`
	)

inlinevirtual

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.

Definition at line 143 of file ROL_Constraint_SimOpt.hpp.

Referenced by ROL::Constraint_SimOpt< Real >::update().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::update_1	(	const Vector< Real > &	u,
		UpdateType	type,
		int	iter = `-1`
	)

inlinevirtual

Definition at line 144 of file ROL_Constraint_SimOpt.hpp.

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::update_2	(	const Vector< Real > &	z,
		bool	flag = `true`,
		int	iter = `-1`
	)

inlinevirtual

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.

Definition at line 151 of file ROL_Constraint_SimOpt.hpp.

Referenced by ROL::Constraint_SimOpt< Real >::update().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::update_2	(	const Vector< Real > &	z,
		UpdateType	type,
		int	iter = `-1`
	)

inlinevirtual

Definition at line 152 of file ROL_Constraint_SimOpt.hpp.

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::solve_update	(	const Vector< Real > &	u,
		const Vector< Real > &	z,
		UpdateType	type,
		int	iter = `-1`
	)

inlinevirtual

Update SimOpt constraint during solve (disconnected from optimization updates).

Parameters

[in]	x	is the optimization variable
[in]	type	is the update type
[in]	iter	is the solver iteration count

Definition at line 160 of file ROL_Constraint_SimOpt.hpp.

Referenced by ROL::Constraint_SimOpt< Real >::solve().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::value	(	Vector< Real > &	c,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

pure virtual

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

Parameters

[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 $ $\mathsf{z} \in\mathcal{Z}$.

Implemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, and valConstraint< Real >.

Referenced by ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_2(), ROL::Constraint_SimOpt< Real >::applyJacobian_1(), ROL::Constraint_SimOpt< Real >::applyJacobian_2(), ROL::Constraint_SimOpt< Real >::checkApplyJacobian_1(), ROL::Constraint_SimOpt< Real >::checkApplyJacobian_2(), ROL::Constraint_SimOpt< Real >::checkSolve(), ROL::Constraint_SimOpt< Real >::solve(), and ROL::Constraint_SimOpt< Real >::value().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::solve	(	Vector< Real > &	c,
		Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

inlinevirtual

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

Parameters

[out]	c	is the result of evaluating the constraint operator at $(u,z)$; a constraint-space vector
[in,out]	u	is the solution vector; 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

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

Reimplemented in DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, and Constraint_BurgersControl< Real >.

Definition at line 191 of file ROL_Constraint_SimOpt.hpp.

Referenced by ROL::Constraint_SimOpt< Real >::checkSolve(), and Constraint_BurgersControl< Real >::solve().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::setSolveParameters ( ParameterList & parlist )

inlinevirtual

Set solve parameters.

Parameters

[in] parlist ParameterList containing solve parameters

For the default implementation, parlist has two sublist ("SimOpt" and "Solve") and the "Solve" sublist has six input parameters.

"Residual Tolerance": Absolute tolerance for the norm of the residual (Real)
"Iteration Limit": Maximum number of Newton iterations (int)
"Sufficient Decrease Tolerance": Tolerance signifying sufficient decrease in the residual norm, between 0 and 1 (Real)
"Step Tolerance": Absolute tolerance for the step size parameter (Real)
"Backtracking Factor": Rate for decreasing step size during backtracking, between 0 and 1 (Real)
"Output Iteration History": Set to true in order to print solve iteration history (bool)
"Zero Initial Guess": Use a vector of zeros as an initial guess for the solve (bool)
"Solver Type": Determine which solver to use (0: Newton with line search, 1: Levenberg-Marquardt, 2: SQP) (int)

These parameters are accessed as parlist.sublist("SimOpt").sublist("Solve").get(...).

Definition at line 303 of file ROL_Constraint_SimOpt.hpp.

Referenced by main().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyJacobian_1	(	Vector< Real > &	jv,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

inlinevirtual

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#218; 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#224, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, and valConstraint< Real >.

Definition at line 331 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector< Real >::axpy(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::norm(), ROL::Vector< Real >::scale(), ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), and ROL::Constraint_SimOpt< Real >::value().

Referenced by ROL::Constraint_SimOpt< Real >::applyJacobian(), ROL::Constraint_SimOpt< Real >::checkAdjointConsistencyJacobian_1(), ROL::Constraint_SimOpt< Real >::checkApplyJacobian_1(), and ROL::Constraint_SimOpt< Real >::checkInverseJacobian_1().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyJacobian_2	(	Vector< Real > &	jv,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

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#218; 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#227, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, Constraint_BurgersControl< Real >, and valConstraint< Real >.

Definition at line 374 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector< Real >::axpy(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::norm(), ROL::Vector< Real >::scale(), ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), and ROL::Constraint_SimOpt< Real >::value().

Referenced by ROL::Constraint_SimOpt< Real >::applyJacobian(), ROL::Constraint_SimOpt< Real >::checkAdjointConsistencyJacobian_2(), and ROL::Constraint_SimOpt< Real >::checkApplyJacobian_2().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyInverseJacobian_1	(	Vector< Real > &	ijv,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

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#218; 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#230, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, redConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, and Constraint_BurgersControl< Real >.

Definition at line 416 of file ROL_Constraint_SimOpt.hpp.

Referenced by ROL::Constraint_SimOpt< Real >::applyPreconditioner(), ROL::Constraint_SimOpt< Real >::checkInverseJacobian_1(), and ROL::Constraint_SimOpt< Real >::solve().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1	(	Vector< Real > &	ajv,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

inlinevirtual

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#233, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, and valConstraint< Real >.

Definition at line 440 of file ROL_Constraint_SimOpt.hpp.

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

Referenced by ROL::Constraint_SimOpt< Real >::applyAdjointHessian_11(), ROL::Constraint_SimOpt< Real >::applyAdjointHessian_21(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian(), ROL::Constraint_SimOpt< Real >::checkAdjointConsistencyJacobian_1(), ROL::Constraint_SimOpt< Real >::checkApplyAdjointHessian_11(), ROL::Constraint_SimOpt< Real >::checkApplyAdjointHessian_21(), and ROL::Constraint_SimOpt< Real >::checkInverseAdjointJacobian_1().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1	(	Vector< Real > &	ajv,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		const Vector< Real > &	dualv,
		Real &	tol
	)

inlinevirtual

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#233, where

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

Definition at line 466 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector< Real >::axpy(), ROL::Vector< Real >::basis(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::dimension(), ROL::Vector< Real >::dual(), ROL::Vector< Real >::norm(), ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), ROL::Constraint_SimOpt< Real >::value(), and ROL::Vector< Real >::zero().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_2	(	Vector< Real > &	ajv,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

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#218; 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#236, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, and valConstraint< Real >.

Definition at line 511 of file ROL_Constraint_SimOpt.hpp.

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

Referenced by ROL::Constraint_SimOpt< Real >::applyAdjointHessian_12(), ROL::Constraint_SimOpt< Real >::applyAdjointHessian_22(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian(), ROL::Constraint_SimOpt< Real >::checkAdjointConsistencyJacobian_2(), ROL::Constraint_SimOpt< Real >::checkApplyAdjointHessian_12(), and ROL::Constraint_SimOpt< Real >::checkApplyAdjointHessian_22().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_2	(	Vector< Real > &	ajv,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		const Vector< Real > &	dualv,
		Real &	tol
	)

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 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#218; 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#236, where

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

Definition at line 537 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector< Real >::axpy(), ROL::Vector< Real >::basis(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::dimension(), ROL::Vector< Real >::dual(), ROL::Vector< Real >::norm(), ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), ROL::Constraint_SimOpt< Real >::value(), and ROL::Vector< Real >::zero().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyInverseAdjointJacobian_1	(	Vector< Real > &	iajv,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

inlinevirtual

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#239, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, and redConstraint< Real >.

Definition at line 581 of file ROL_Constraint_SimOpt.hpp.

Referenced by ROL::Constraint_SimOpt< Real >::applyPreconditioner(), and ROL::Constraint_SimOpt< Real >::checkInverseAdjointJacobian_1().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointHessian_11	(	Vector< Real > &	ahwv,
		const Vector< Real > &	w,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

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#218 to the vector @b  \form#242 in direction @b  \form#242; 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#244, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, and valConstraint< Real >.

Definition at line 607 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1(), ROL::Vector< Real >::axpy(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::norm(), ROL::Vector< Real >::scale(), ROL::Temp, and ROL::Constraint_SimOpt< Real >::update().

Referenced by ROL::Constraint_SimOpt< Real >::applyAdjointHessian(), and ROL::Constraint_SimOpt< Real >::checkApplyAdjointHessian_11().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointHessian_12	(	Vector< Real > &	ahwv,
		const Vector< Real > &	w,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

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#218 to the vector @b  \form#242 in direction @b  \form#242; 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#248, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, and valConstraint< Real >.

Definition at line 652 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_2(), ROL::Vector< Real >::axpy(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::norm(), ROL::Vector< Real >::scale(), ROL::Temp, and ROL::Constraint_SimOpt< Real >::update().

Referenced by ROL::Constraint_SimOpt< Real >::applyAdjointHessian(), and ROL::Constraint_SimOpt< Real >::checkApplyAdjointHessian_12().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointHessian_21	(	Vector< Real > &	ahwv,
		const Vector< Real > &	w,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

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#218 to the vector @b  \form#242 in direction @b  \form#242; 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#251, where

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

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, and valConstraint< Real >.

Definition at line 697 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1(), ROL::Vector< Real >::axpy(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::norm(), ROL::Vector< Real >::scale(), ROL::Temp, and ROL::Constraint_SimOpt< Real >::update().

Referenced by ROL::Constraint_SimOpt< Real >::applyAdjointHessian(), and ROL::Constraint_SimOpt< Real >::checkApplyAdjointHessian_21().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointHessian_22	(	Vector< Real > &	ahwv,
		const Vector< Real > &	w,
		const Vector< Real > &	v,
		const Vector< Real > &	u,
		const Vector< Real > &	z,
		Real &	tol
	)

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#218 to the vector @b  \form#242 in direction @b  \form#242; 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#253, where

$w \in \mathcal{C}^*$, $v \in \mathcal{Z}$, and $\mathsf{ahwv} \in \mathcal{Z}^*$.

Reimplemented in Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, DiffusionConstraint< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, Constraint_BurgersControl< Real >, redConstraint< Real >, and valConstraint< Real >.

Definition at line 741 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_2(), ROL::Vector< Real >::axpy(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::norm(), ROL::Vector< Real >::scale(), ROL::Temp, and ROL::Constraint_SimOpt< Real >::update().

Referenced by ROL::Constraint_SimOpt< Real >::applyAdjointHessian(), and ROL::Constraint_SimOpt< Real >::checkApplyAdjointHessian_22().

template<class Real >

virtual std::vector<Real> ROL::Constraint_SimOpt< Real >::solveAugmentedSystem	(	Vector< Real > &	v1,
		Vector< Real > &	v2,
		const Vector< Real > &	b1,
		const Vector< Real > &	b2,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

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.

Parameters

[out]	v1	is the optimization-space component of the result
[out]	v2	is the dual constraint-space component of the result
[in]	b1	is the dual optimization-space component of the right-hand side
[in]	b2	is the constraint-space component of the right-hand side
[in]	x	is the constraint argument; an optimization-space vector
[in,out]	tol	is the nominal relative residual tolerance

On return, $ [\mathsf{v1} \,\, \mathsf{v2}] $ approximately solves the augmented system, where the size of the residual is governed by special stopping conditions.

The default implementation is the preconditioned generalized minimal residual (GMRES) method, which enables the use of nonsymmetric preconditioners.

Reimplemented from ROL::Constraint< Real >.

Definition at line 806 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint< Real >::solveAugmentedSystem().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyPreconditioner	(	Vector< Real > &	pv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		const Vector< Real > &	g,
		Real &	tol
	)

inlinevirtual

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.

  @param[out]      pv  is the result of applying the constraint preconditioner to @b v at @b x; a constraint-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       x   is the preconditioner argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations

  On return, \form#114, where

$v \in \mathcal{C}$, $\mathsf{pv} \in \mathcal{C}$.

The default implementation is a null-op.

Reimplemented from ROL::Constraint< Real >.

Definition at line 834 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyInverseAdjointJacobian_1(), ROL::Constraint_SimOpt< Real >::applyInverseJacobian_1(), ROL::Constraint< Real >::applyPreconditioner(), ROL::Vector_SimOpt< Real >::dual(), ROL::Vector_SimOpt< Real >::get_1(), ROL::Vector_SimOpt< Real >::get_2(), and ROL::Vector< Real >::set().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::update	(	const Vector< Real > &	x,
		bool	flag = `true`,
		int	iter = `-1`
	)

inlinevirtual

Update constraint functions. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count.

Reimplemented from ROL::Constraint< Real >.

Definition at line 869 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector_SimOpt< Real >::get_1(), ROL::Vector_SimOpt< Real >::get_2(), and ROL::Constraint_SimOpt< Real >::update().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::update	(	const Vector< Real > &	x,
		UpdateType	type,
		int	iter = `-1`
	)

inlinevirtual

Update constraint function.

This function updates the constraint function at new iterations.

Parameters

[in]	x	is the new iterate.
[in]	type	is the type of update requested.
[in]	iter	is the outer algorithm iterations count.

Reimplemented from ROL::Constraint< Real >.

Definition at line 874 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector_SimOpt< Real >::get_1(), ROL::Vector_SimOpt< Real >::get_2(), and ROL::Constraint_SimOpt< Real >::update().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::value	(	Vector< Real > &	c,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Evaluate the constraint operator $c:\mathcal{X} \rightarrow \mathcal{C}$ at $x$.

Parameters

[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 880 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector_SimOpt< Real >::get_1(), ROL::Vector_SimOpt< Real >::get_2(), and ROL::Constraint_SimOpt< Real >::value().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyJacobian	(	Vector< Real > &	jv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

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 889 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyJacobian_1(), ROL::Constraint_SimOpt< Real >::applyJacobian_2(), ROL::Vector< Real >::clone(), ROL::Vector_SimOpt< Real >::get_1(), ROL::Vector_SimOpt< Real >::get_2(), and ROL::Vector< Real >::plus().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointJacobian	(	Vector< Real > &	ajv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

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 905 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_2(), ROL::Vector_SimOpt< Real >::get_1(), ROL::Vector_SimOpt< Real >::get_2(), ROL::Vector_SimOpt< Real >::set_1(), and ROL::Vector_SimOpt< Real >::set_2().

template<class Real >

virtual void ROL::Constraint_SimOpt< Real >::applyAdjointHessian	(	Vector< Real > &	ahuv,
		const Vector< Real > &	u,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

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 922 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointHessian_11(), ROL::Constraint_SimOpt< Real >::applyAdjointHessian_12(), ROL::Constraint_SimOpt< Real >::applyAdjointHessian_21(), ROL::Constraint_SimOpt< Real >::applyAdjointHessian_22(), ROL::Vector_SimOpt< Real >::get_1(), ROL::Vector_SimOpt< Real >::get_2(), ROL::Vector_SimOpt< Real >::set_1(), and ROL::Vector_SimOpt< Real >::set_2().

template<class Real >

virtual Real ROL::Constraint_SimOpt< Real >::checkSolve	(	const Vector< Real > &	u,
		const Vector< Real > &	z,
		const Vector< Real > &	c,
		const bool	printToStream = `true`,
		std::ostream &	outStream = `std::cout`
	)

inlinevirtual

Definition at line 951 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector< Real >::clone(), ROL::Constraint_SimOpt< Real >::solve(), ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), and ROL::Constraint_SimOpt< Real >::value().

Referenced by main().

template<class Real >

virtual Real ROL::Constraint_SimOpt< 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`
	)

inlinevirtual

Check the consistency of the Jacobian and its adjoint. This is the primary interface.

Parameters

[out]	w	is a dual constraint-space vector
[in]	v	is a simulation-space vector
[in]	u	is the constraint argument; a simulation-space vector
[in]	z	is the constraint argument; an optimization-space vector
[in]	printToStream	is is a flag that turns on/off output
[in]	outStream	is the output stream

Definition at line 992 of file ROL_Constraint_SimOpt.hpp.

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

Referenced by main().

template<class Real >

virtual Real ROL::Constraint_SimOpt< 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`
	)

inlinevirtual

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.

Parameters

[out]	w	is a dual constraint-space vector
[in]	v	is a simulation-space vector
[in]	u	is the constraint argument; a simulation-space vector
[in]	z	is the constraint argument; an optimization-space vector
[in]	dualw	is a constraint-space vector
[in]	dualv	is a dual simulation-space vector
[in]	printToStream	is is a flag that turns on/off output
[in]	outStream	is the output stream

Definition at line 1017 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector< Real >::apply(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1(), ROL::Constraint_SimOpt< Real >::applyJacobian_1(), ROL::Vector< Real >::clone(), ROL::Temp, and ROL::Constraint_SimOpt< Real >::update().

template<class Real >

virtual Real ROL::Constraint_SimOpt< 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`
	)

inlinevirtual

Check the consistency of the Jacobian and its adjoint. This is the primary interface.

Parameters

[out]	w	is a dual constraint-space vector
[in]	v	is an optimization-space vector
[in]	u	is the constraint argument; a simulation-space vector
[in]	z	is the constraint argument; an optimization-space vector
[in]	printToStream	is is a flag that turns on/off output
[in]	outStream	is the output stream

Definition at line 1062 of file ROL_Constraint_SimOpt.hpp.

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

Referenced by main().

template<class Real >

virtual Real ROL::Constraint_SimOpt< 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`
	)

inlinevirtual

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.

Parameters

[out]	w	is a dual constraint-space vector
[in]	v	is an optimization-space vector
[in]	u	is the constraint argument; a simulation-space vector
[in]	z	is the constraint argument; an optimization-space vector
[in]	dualw	is a constraint-space vector
[in]	dualv	is a dual optimization-space vector
[in]	printToStream	is is a flag that turns on/off output
[in]	outStream	is the output stream

Definition at line 1086 of file ROL_Constraint_SimOpt.hpp.

References ROL::Vector< Real >::apply(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_2(), ROL::Constraint_SimOpt< Real >::applyJacobian_2(), ROL::Vector< Real >::clone(), ROL::Temp, and ROL::Constraint_SimOpt< Real >::update().

template<class Real >

virtual Real ROL::Constraint_SimOpt< 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`
	)

inlinevirtual

Definition at line 1118 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyInverseJacobian_1(), ROL::Constraint_SimOpt< Real >::applyJacobian_1(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::norm(), ROL::Temp, and ROL::Constraint_SimOpt< Real >::update().

Referenced by main().

template<class Real >

virtual Real ROL::Constraint_SimOpt< 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`
	)

inlinevirtual

Definition at line 1148 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1(), ROL::Constraint_SimOpt< Real >::applyInverseAdjointJacobian_1(), ROL::Vector< Real >::clone(), ROL::Vector< Real >::norm(), ROL::Temp, and ROL::Constraint_SimOpt< Real >::update().

Referenced by main().

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

Definition at line 1180 of file ROL_Constraint_SimOpt.hpp.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

Definition at line 1199 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyJacobian_1(), ROL::Vector< Real >::clone(), ROL::Finite_Difference_Arrays::shifts, ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), ROL::Constraint_SimOpt< Real >::value(), and ROL::Finite_Difference_Arrays::weights.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

Definition at line 1305 of file ROL_Constraint_SimOpt.hpp.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

Definition at line 1324 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyJacobian_2(), ROL::Vector< Real >::clone(), ROL::Finite_Difference_Arrays::shifts, ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), ROL::Constraint_SimOpt< Real >::value(), and ROL::Finite_Difference_Arrays::weights.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

Definition at line 1431 of file ROL_Constraint_SimOpt.hpp.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

Definition at line 1449 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointHessian_11(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1(), ROL::Vector< Real >::clone(), ROL::Finite_Difference_Arrays::shifts, ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), and ROL::Finite_Difference_Arrays::weights.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

$ u\in U $, $ z\in Z $, $ p\in C^\ast $, $ v \in U $, $ hv \in U^\ast $

Definition at line 1554 of file ROL_Constraint_SimOpt.hpp.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

$ u\in U $, $ z\in Z $, $ p\in C^\ast $, $ v \in U $, $ hv \in U^\ast $

Definition at line 1575 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointHessian_21(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_1(), ROL::Vector< Real >::clone(), ROL::Finite_Difference_Arrays::shifts, ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), and ROL::Finite_Difference_Arrays::weights.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

$ u\in U $, $ z\in Z $, $ p\in C^\ast $, $ v \in U $, $ hv \in U^\ast $

Definition at line 1680 of file ROL_Constraint_SimOpt.hpp.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

Definition at line 1699 of file ROL_Constraint_SimOpt.hpp.

References ROL::Constraint_SimOpt< Real >::applyAdjointHessian_12(), ROL::Constraint_SimOpt< Real >::applyAdjointJacobian_2(), ROL::Vector< Real >::clone(), ROL::Finite_Difference_Arrays::shifts, ROL::Temp, ROL::Constraint_SimOpt< Real >::update(), and ROL::Finite_Difference_Arrays::weights.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)

inline

Definition at line 1801 of file ROL_Constraint_SimOpt.hpp.

template<class Real >

std::vector<std::vector<Real> > ROL::Constraint_SimOpt< 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`
	)