ROL: TridiagonalToeplitzOperator< Real > Class Template Reference

ROL

Inheritance diagram for TridiagonalToeplitzOperator< Real >:

Public Member Functions
	TridiagonalToeplitzOperator (Real &a, Real &b, Real &c)

void	apply (V &Hv, const V &v, Real &tol) const
	Apply linear operator. More...

void	applyInverse (V &Hv, const V &v, Real &tol) const
	Apply inverse of linear operator. More...

	TridiagonalToeplitzOperator (Real &a, Real &b, Real &c)

void	apply (V &Hv, const V &v, Real &tol) const
	Apply linear operator. More...

void	applyInverse (V &Hv, const V &v, Real &tol) const
	Apply inverse of linear operator. More...

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

virtual void	update (const Vector< Real > &x, bool flag=true, int iter=-1)
	Update linear operator. More...

virtual void	applyAdjoint (Vector< Real > &Hv, const Vector< Real > &v, Real &tol) const
	Apply adjoint of linear operator. More...

virtual void	applyAdjointInverse (Vector< Real > &Hv, const Vector< Real > &v, Real &tol) const
	Apply adjoint of the inverse linear operator. More...

Private Types
typedef std::vector< Real >	vector

typedef ROL::Vector< Real >	V

typedef ROL::StdVector< Real >	SV

typedef vector::size_type	uint

typedef std::vector< Real >	vector

typedef ROL::Vector< Real >	V

typedef ROL::StdVector< Real >	SV

typedef vector::size_type	uint

Private Attributes
Real	a_

Real	b_

Real	c_

ROL::LAPACK< int, Real >	lapack_

Detailed Description

template<class Real>
class TridiagonalToeplitzOperator< Real >

Definition at line 72 of file step/krylov/test_01.cpp.

Member Typedef Documentation

template<class Real>

typedef std::vector<Real> TridiagonalToeplitzOperator< Real >::vector

private

Definition at line 74 of file step/krylov/test_01.cpp.

template<class Real>

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

private

Definition at line 75 of file step/krylov/test_01.cpp.

template<class Real>

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

private

Definition at line 76 of file step/krylov/test_01.cpp.

template<class Real>

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

private

Definition at line 78 of file step/krylov/test_01.cpp.

template<class Real>

typedef std::vector<Real> TridiagonalToeplitzOperator< Real >::vector

private

Definition at line 73 of file step/krylov/test_03.cpp.

template<class Real>

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

private

Definition at line 74 of file step/krylov/test_03.cpp.

template<class Real>

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

private

Definition at line 75 of file step/krylov/test_03.cpp.

template<class Real>

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

private

Definition at line 77 of file step/krylov/test_03.cpp.

Constructor & Destructor Documentation

template<class Real>

TridiagonalToeplitzOperator< Real >::TridiagonalToeplitzOperator	(	Real &	a,
		Real &	b,
		Real &	c
	)

inline

Definition at line 90 of file step/krylov/test_01.cpp.

template<class Real>

TridiagonalToeplitzOperator< Real >::TridiagonalToeplitzOperator	(	Real &	a,
		Real &	b,
		Real &	c
	)

inline

Definition at line 89 of file step/krylov/test_03.cpp.

Member Function Documentation

template<class Real>

void TridiagonalToeplitzOperator< Real >::apply	(	V &	Hv,
		const V &	v,
		Real &	tol
	)		const

inlinevirtual

Apply linear operator.

This function applies the linear operator to a vector.

Parameters

[out]	Hv	is the output vector.
[in]	v	is the input vector.
[in]	tol	is a tolerance for inexact linear operator application.

Implements ROL::LinearOperator< Real >.

Definition at line 93 of file step/krylov/test_01.cpp.

References TridiagonalToeplitzOperator< Real >::a_, TridiagonalToeplitzOperator< Real >::b_, TridiagonalToeplitzOperator< Real >::c_, and ROL::StdVector< Real, Element >::getVector().

Referenced by main().

template<class Real>

void TridiagonalToeplitzOperator< Real >::applyInverse	(	V &	Hv,
		const V &	v,
		Real &	tol
	)		const

inlinevirtual

Apply inverse of linear operator.

This function applies the inverse of linear operator to a vector.

Parameters

[out]	Hv	is the output vector.
[in]	v	is the input vector.
[in]	tol	is a tolerance for inexact linear operator application.

Reimplemented from ROL::LinearOperator< Real >.

Definition at line 116 of file step/krylov/test_01.cpp.

References TridiagonalToeplitzOperator< Real >::a_, TridiagonalToeplitzOperator< Real >::b_, TridiagonalToeplitzOperator< Real >::c_, ROL::StdVector< Real, Element >::getVector(), TridiagonalToeplitzOperator< Real >::lapack_, and ROL::Vector< Real >::set().

Referenced by main().

template<class Real>

void TridiagonalToeplitzOperator< Real >::apply	(	V &	Hv,
		const V &	v,
		Real &	tol
	)		const

inlinevirtual

Apply linear operator.

This function applies the linear operator to a vector.

Parameters

[out]	Hv	is the output vector.
[in]	v	is the input vector.
[in]	tol	is a tolerance for inexact linear operator application.

Implements ROL::LinearOperator< Real >.

Definition at line 92 of file step/krylov/test_03.cpp.

References TridiagonalToeplitzOperator< Real >::a_, TridiagonalToeplitzOperator< Real >::b_, TridiagonalToeplitzOperator< Real >::c_, and ROL::StdVector< Real, Element >::getVector().

template<class Real>

void TridiagonalToeplitzOperator< Real >::applyInverse	(	V &	Hv,
		const V &	v,
		Real &	tol
	)		const

inlinevirtual

Apply inverse of linear operator.

This function applies the inverse of linear operator to a vector.

Parameters

[out]	Hv	is the output vector.
[in]	v	is the input vector.
[in]	tol	is a tolerance for inexact linear operator application.

Reimplemented from ROL::LinearOperator< Real >.

Definition at line 113 of file step/krylov/test_03.cpp.

References TridiagonalToeplitzOperator< Real >::a_, TridiagonalToeplitzOperator< Real >::b_, TridiagonalToeplitzOperator< Real >::c_, ROL::StdVector< Real, Element >::getVector(), TridiagonalToeplitzOperator< Real >::lapack_, and ROL::Vector< Real >::set().

Member Data Documentation

template<class Real>

Real TridiagonalToeplitzOperator< Real >::a_

private

Definition at line 82 of file step/krylov/test_01.cpp.

Referenced by TridiagonalToeplitzOperator< Real >::apply(), and TridiagonalToeplitzOperator< Real >::applyInverse().

template<class Real>

Real TridiagonalToeplitzOperator< Real >::b_

private

Definition at line 83 of file step/krylov/test_01.cpp.

Referenced by TridiagonalToeplitzOperator< Real >::apply(), and TridiagonalToeplitzOperator< Real >::applyInverse().

template<class Real>

Real TridiagonalToeplitzOperator< Real >::c_

private

Definition at line 84 of file step/krylov/test_01.cpp.

Referenced by TridiagonalToeplitzOperator< Real >::apply(), and TridiagonalToeplitzOperator< Real >::applyInverse().

template<class Real>

ROL::LAPACK< int, Real > TridiagonalToeplitzOperator< Real >::lapack_

private

Definition at line 86 of file step/krylov/test_01.cpp.

Referenced by TridiagonalToeplitzOperator< Real >::applyInverse().

The documentation for this class was generated from the following files: