Inheritance diagram for Objective_PoissonInversion< Real >:

Public Member Functions
	Objective_PoissonInversion (int nz=32, Real alpha=1.e-4)

void	apply_mass (std::vector< Real > &Mz, const std::vector< Real > &z)

Real	evaluate_target (Real x)

void	apply_linearized_control_operator (std::vector< Real > &Bd, const std::vector< Real > &z, const std::vector< Real > &d, const std::vector< Real > &u, bool addBC=true)

void	apply_transposed_linearized_control_operator (std::vector< Real > &Bd, const std::vector< Real > &z, const std::vector< Real > &d, const std::vector< Real > &u, bool addBC=true)

void	solve_state_equation (std::vector< Real > &u, const std::vector< Real > &z)

void	solve_adjoint_equation (std::vector< Real > &p, const std::vector< Real > &u, const std::vector< Real > &z)

void	solve_state_sensitivity_equation (std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &u, const std::vector< Real > &z)

void	solve_adjoint_sensitivity_equation (std::vector< Real > &q, const std::vector< Real > &w, const std::vector< Real > &v, const std::vector< Real > &p, const std::vector< Real > &u, const std::vector< Real > &z)

void	update (const ROL::Vector< Real > &z, bool flag, int iter)
	Update objective function. More...

Real	value (const ROL::Vector< Real > &z, Real &tol)
	Compute value. More...

void	gradient (ROL::Vector< Real > &g, const ROL::Vector< Real > &z, Real &tol)
	Compute gradient. More...

void	hessVec (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &z, Real &tol)
	Apply Hessian approximation to vector. More...

void	activateInertia (void)

void	deactivateInertia (void)

void	hessVec_true (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &z, Real &tol)

void	hessVec_inertia (ROL::Vector< Real > &hv, const ROL::Vector< Real > &v, const ROL::Vector< Real > &z, Real &tol)

Public Member Functions inherited from ROL::Objective< Real >
virtual	~Objective ()

	Objective ()

virtual void	update (const Vector< Real > &x, UpdateType type, int iter=-1)
	Update objective function. More...

virtual Real	dirDeriv (const Vector< Real > &x, const Vector< Real > &d, Real &tol)
	Compute directional derivative. More...

virtual void	invHessVec (Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
	Apply inverse Hessian approximation to vector. More...

virtual void	precond (Vector< Real > &Pv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
	Apply preconditioner to vector. More...

virtual void	prox (Vector< Real > &Pv, const Vector< Real > &v, Real t, Real &tol)
	Compute the proximity operator. More...

virtual void	proxJacVec (Vector< Real > &Jv, const Vector< Real > &v, const Vector< Real > &x, Real t, Real &tol)
	Apply the Jacobian of the proximity operator. More...

virtual std::vector < std::vector< Real > >	checkGradient (const Vector< Real > &x, const Vector< Real > &d, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference gradient check. More...

virtual std::vector < std::vector< Real > >	checkGradient (const Vector< Real > &x, const Vector< Real > &g, const Vector< Real > &d, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference gradient check. More...

virtual std::vector < std::vector< Real > >	checkGradient (const Vector< Real > &x, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference gradient check with specified step sizes. More...

virtual std::vector < std::vector< Real > >	checkGradient (const Vector< Real > &x, const Vector< Real > &g, const Vector< Real > &d, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference gradient check with specified step sizes. More...

virtual std::vector < std::vector< Real > >	checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference Hessian-applied-to-vector check. More...

virtual std::vector < std::vector< Real > >	checkHessVec (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference Hessian-applied-to-vector check. More...

virtual std::vector < std::vector< Real > >	checkHessVec (const Vector< Real > &x, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference Hessian-applied-to-vector check with specified step sizes. More...

virtual std::vector < std::vector< Real > >	checkHessVec (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference Hessian-applied-to-vector check with specified step sizes. More...

virtual std::vector< Real >	checkHessSym (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &w, const bool printToStream=true, std::ostream &outStream=std::cout)
	Hessian symmetry check. More...

virtual std::vector< Real >	checkHessSym (const Vector< Real > &x, const Vector< Real > &hv, const Vector< Real > &v, const Vector< Real > &w, const bool printToStream=true, std::ostream &outStream=std::cout)
	Hessian symmetry check. More...

virtual std::vector < std::vector< Real > >	checkProxJacVec (const Vector< Real > &x, const Vector< Real > &v, Real t=Real(1), bool printToStream=true, std::ostream &outStream=std::cout, int numSteps=ROL_NUM_CHECKDERIV_STEPS)
	Finite-difference proximity operator Jacobian-applied-to-vector check. More...

virtual void	setParameter (const std::vector< Real > &param)

Private Types
typedef std::vector< Real >	vector

typedef ROL::Vector< Real >	V

typedef ROL::StdVector< Real >	SV

typedef vector::size_type	uint

Private Member Functions
ROL::Ptr< const vector >	getVector (const V &x)

ROL::Ptr< vector >	getVector (V &x)

Private Attributes
uint	nu_

uint	nz_

Real	hu_

Real	hz_

Real	u0_

Real	u1_

Real	alpha_

bool	useCorrection_

Teuchos::SerialDenseMatrix < int, Real >	H_

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

Detailed Description

template<class Real>
class Objective_PoissonInversion< Real >

Definition at line 34 of file poisson-inversion/example_02.cpp.

Member Typedef Documentation

template<class Real>

typedef std::vector<Real> Objective_PoissonInversion< Real >::vector

private

Definition at line 36 of file poisson-inversion/example_02.cpp.

template<class Real>

typedef ROL::Vector<Real> Objective_PoissonInversion< Real >::V

private

Definition at line 37 of file poisson-inversion/example_02.cpp.

template<class Real>

typedef ROL::StdVector<Real> Objective_PoissonInversion< Real >::SV

private

Definition at line 38 of file poisson-inversion/example_02.cpp.

template<class Real>

typedef vector::size_type Objective_PoissonInversion< Real >::uint

private

Definition at line 40 of file poisson-inversion/example_02.cpp.

Constructor & Destructor Documentation

template<class Real>

Objective_PoissonInversion< Real >::Objective_PoissonInversion	(	int	nz = `32`,
		Real	alpha = `1.e-4`
	)

inline

Definition at line 71 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::hu_, Objective_PoissonInversion< Real >::hz_, Objective_PoissonInversion< Real >::nu_, and Objective_PoissonInversion< Real >::nz_.

Member Function Documentation

template<class Real>

ROL::Ptr<const vector> Objective_PoissonInversion< Real >::getVector ( const V & x )

inlineprivate

Definition at line 58 of file poisson-inversion/example_02.cpp.

Referenced by Objective_PoissonInversion< Real >::getVector(), Objective_PoissonInversion< Real >::gradient(), Objective_PoissonInversion< Real >::hessVec_inertia(), Objective_PoissonInversion< Real >::hessVec_true(), and Objective_PoissonInversion< Real >::value().

template<class Real>

ROL::Ptr<vector> Objective_PoissonInversion< Real >::getVector ( V & x )

inlineprivate

Definition at line 63 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::getVector().

template<class Real>

void Objective_PoissonInversion< Real >::apply_mass	(	std::vector< Real > &	Mz,
		const std::vector< Real > &	z
	)

inline

Definition at line 78 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::hu_, and Objective_PoissonInversion< Real >::nu_.

Referenced by Objective_PoissonInversion< Real >::solve_adjoint_equation(), and Objective_PoissonInversion< Real >::solve_adjoint_sensitivity_equation().

template<class Real>

Real Objective_PoissonInversion< Real >::evaluate_target ( Real x )

inline

Definition at line 93 of file poisson-inversion/example_02.cpp.

Referenced by Objective_PoissonInversion< Real >::solve_adjoint_equation(), and Objective_PoissonInversion< Real >::value().

template<class Real>

void Objective_PoissonInversion< Real >::apply_linearized_control_operator	(	std::vector< Real > &	Bd,
		const std::vector< Real > &	z,
		const std::vector< Real > &	d,
		const std::vector< Real > &	u,
		bool	addBC = `true`
	)

inline

Definition at line 97 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::hu_, Objective_PoissonInversion< Real >::nu_, Objective_PoissonInversion< Real >::nz_, Objective_PoissonInversion< Real >::u0_, and Objective_PoissonInversion< Real >::u1_.

Referenced by Objective_PoissonInversion< Real >::solve_adjoint_sensitivity_equation(), and Objective_PoissonInversion< Real >::solve_state_sensitivity_equation().

template<class Real>

void Objective_PoissonInversion< Real >::apply_transposed_linearized_control_operator	(	std::vector< Real > &	Bd,
		const std::vector< Real > &	z,
		const std::vector< Real > &	d,
		const std::vector< Real > &	u,
		bool	addBC = `true`
	)

inline

Definition at line 119 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::hu_, Objective_PoissonInversion< Real >::nu_, Objective_PoissonInversion< Real >::nz_, Objective_PoissonInversion< Real >::u0_, and Objective_PoissonInversion< Real >::u1_.

Referenced by Objective_PoissonInversion< Real >::gradient(), and Objective_PoissonInversion< Real >::hessVec_true().

template<class Real>

void Objective_PoissonInversion< Real >::solve_state_equation	(	std::vector< Real > &	u,
		const std::vector< Real > &	z
	)

inline

Definition at line 142 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::hu_, Objective_PoissonInversion< Real >::nu_, Objective_PoissonInversion< Real >::nz_, Objective_PoissonInversion< Real >::u0_, and Objective_PoissonInversion< Real >::u1_.

Referenced by Objective_PoissonInversion< Real >::gradient(), Objective_PoissonInversion< Real >::hessVec_true(), main(), and Objective_PoissonInversion< Real >::value().

template<class Real>

void Objective_PoissonInversion< Real >::solve_adjoint_equation	(	std::vector< Real > &	p,
		const std::vector< Real > &	u,
		const std::vector< Real > &	z
	)

inline

Definition at line 166 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::apply_mass(), Objective_PoissonInversion< Real >::evaluate_target(), Objective_PoissonInversion< Real >::hu_, and Objective_PoissonInversion< Real >::nu_.

Referenced by Objective_PoissonInversion< Real >::gradient(), and Objective_PoissonInversion< Real >::hessVec_true().

template<class Real>

void Objective_PoissonInversion< Real >::solve_state_sensitivity_equation	(	std::vector< Real > &	w,
		const std::vector< Real > &	v,
		const std::vector< Real > &	u,
		const std::vector< Real > &	z
	)

inline

Definition at line 193 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::apply_linearized_control_operator(), Objective_PoissonInversion< Real >::hu_, and Objective_PoissonInversion< Real >::nu_.

Referenced by Objective_PoissonInversion< Real >::hessVec_true().

template<class Real>

void Objective_PoissonInversion< Real >::solve_adjoint_sensitivity_equation	(	std::vector< Real > &	q,
		const std::vector< Real > &	w,
		const std::vector< Real > &	v,
		const std::vector< Real > &	p,
		const std::vector< Real > &	u,
		const std::vector< Real > &	z
	)

inline

Definition at line 217 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::apply_linearized_control_operator(), Objective_PoissonInversion< Real >::apply_mass(), Objective_PoissonInversion< Real >::hu_, and Objective_PoissonInversion< Real >::nu_.

Referenced by Objective_PoissonInversion< Real >::hessVec_true().

template<class Real>

void Objective_PoissonInversion< Real >::update	(	const ROL::Vector< Real > &	x,
		bool	flag,
		int	iter
	)

inlinevirtual

Update objective function.

This function updates the objective function at new iterations.

Parameters

[in]	x	is the new iterate.
[in]	flag	is true if the iterate has changed.
[in]	iter	is the outer algorithm iterations count.

Reimplemented from ROL::Objective< Real >.

Definition at line 247 of file poisson-inversion/example_02.cpp.

References ROL::Vector< Real >::basis(), ROL::Vector< Real >::clone(), Objective_PoissonInversion< Real >::H_, Objective_PoissonInversion< Real >::hessVec_true(), Objective_PoissonInversion< Real >::nz_, and Objective_PoissonInversion< Real >::useCorrection_.

template<class Real>

Real Objective_PoissonInversion< Real >::value	(	const ROL::Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Compute value.

This function returns the objective function value.

Parameters

[in]	x	is the current iterate.
[in]	tol	is a tolerance for inexact objective function computation.

Implements ROL::Objective< Real >.

Definition at line 288 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::alpha_, Objective_PoissonInversion< Real >::evaluate_target(), Objective_PoissonInversion< Real >::getVector(), Objective_PoissonInversion< Real >::hu_, Objective_PoissonInversion< Real >::hz_, Objective_PoissonInversion< Real >::nu_, Objective_PoissonInversion< Real >::nz_, and Objective_PoissonInversion< Real >::solve_state_equation().

template<class Real>

void Objective_PoissonInversion< Real >::gradient	(	ROL::Vector< Real > &	g,
		const ROL::Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Compute gradient.

This function returns the objective function gradient.

Parameters

[out]	g	is the gradient.
[in]	x	is the current iterate.
[in]	tol	is a tolerance for inexact objective function computation.

The default implementation is a finite-difference approximation based on the function value. This requires the definition of a basis \(\{\phi_i\}\) for the optimization vectors x and the definition of a basis \(\{\psi_j\}\) for the dual optimization vectors (gradient vectors g). The bases must be related through the Riesz map, i.e., \( R \{\phi_i\} = \{\psi_j\}\), and this must be reflected in the implementation of the ROL::Vector::dual() method.

Reimplemented from ROL::Objective< Real >.

Definition at line 328 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::alpha_, Objective_PoissonInversion< Real >::apply_transposed_linearized_control_operator(), Objective_PoissonInversion< Real >::getVector(), Objective_PoissonInversion< Real >::hz_, Objective_PoissonInversion< Real >::nu_, Objective_PoissonInversion< Real >::nz_, Objective_PoissonInversion< Real >::solve_adjoint_equation(), and Objective_PoissonInversion< Real >::solve_state_equation().

template<class Real>

void Objective_PoissonInversion< Real >::hessVec	(	ROL::Vector< Real > &	hv,
		const ROL::Vector< Real > &	v,
		const ROL::Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Apply Hessian approximation to vector.

This function applies the Hessian of the objective function to the vector \(v\).

Parameters

[out]	hv	is the the action of the Hessian on \(v\).
[in]	v	is the direction vector.
[in]	x	is the current iterate.
[in]	tol	is a tolerance for inexact objective function computation.

Reimplemented from ROL::Objective< Real >.

Definition at line 351 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::hessVec_inertia(), Objective_PoissonInversion< Real >::hessVec_true(), and Objective_PoissonInversion< Real >::useCorrection_.

template<class Real>

void Objective_PoissonInversion< Real >::activateInertia ( void )

inline

Definition at line 360 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::useCorrection_.

template<class Real>

void Objective_PoissonInversion< Real >::deactivateInertia ( void )

inline

Definition at line 364 of file poisson-inversion/example_02.cpp.

References Objective_PoissonInversion< Real >::useCorrection_.

Referenced by main().

template<class Real>

void Objective_PoissonInversion< Real >::hessVec_true	(	ROL::Vector< Real > &	hv,
		const ROL::Vector< Real > &	v,
		const ROL::Vector< Real > &	z,
		Real &	tol
	)

inline

Definition at line 368 of file poisson-inversion/example_02.cpp.

Referenced by Objective_PoissonInversion< Real >::hessVec(), and Objective_PoissonInversion< Real >::update().

template<class Real>

void Objective_PoissonInversion< Real >::hessVec_inertia	(	ROL::Vector< Real > &	hv,
		const ROL::Vector< Real > &	v,
		const ROL::Vector< Real > &	z,
		Real &	tol
	)