Provides the std::vector implementation to apply a linear operator, which encapsulates a tridiagonal matrix. More...

#include <ROL_StdTridiagonalOperator.hpp>

Inheritance diagram for ROL::StdTridiagonalOperator< Real >:

Public Member Functions
	StdTridiagonalOperator (const ROL::Ptr< const vector< Real > > &a, const ROL::Ptr< const vector< Real > > &b, const ROL::Ptr< const vector< Real > > &c)

	StdTridiagonalOperator (const ROL::Ptr< const vector< Real > > &a, const ROL::Ptr< const vector< Real > > &b)

virtual	~StdTridiagonalOperator ()

virtual void	apply (vector< Real > &Hv, const vector< Real > &v, Real &tol) const

virtual void	applyAdjoint (vector< Real > &Hv, const vector< Real > &v, Real &tol) const

virtual void	applyInverse (vector< Real > &Hv, const vector< Real > &v, Real &tol) const

virtual void	applyAdjointInverse (vector< Real > &Hv, const vector< Real > &v, Real &tol) const

Public Member Functions inherited from ROL::StdLinearOperator< Real >
	StdLinearOperator ()

	StdLinearOperator (ROL::Ptr< std::vector< Real > > &A)

virtual	~StdLinearOperator ()

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

virtual void	update (const std::vector< Real > &x, bool flag=true, int iter=-1)

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

virtual void	apply (std::vector< Real > &Hv, const std::vector< Real > &v, Real &tol) const

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

virtual void	applyAdjoint (std::vector< Real > &Hv, const std::vector< Real > &v, Real &tol) const

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

virtual void	applyInverse (std::vector< Real > &Hv, const std::vector< Real > &v, Real &tol) const

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

virtual void	applyAdjointInverse (std::vector< Real > &Hv, const std::vector< Real > &v, Real &tol) const

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

Private Types
template<typename T >
using	vector = std::vector< T >

Private Member Functions
void	copy (void) const

Private Attributes
const ROL::Ptr< const vector < Real > >	a_

const ROL::Ptr< const vector < Real > >	b_

const ROL::Ptr< const vector < Real > >	c_

vector< Real >	dl_

vector< Real >	d_

vector< Real >	du_

vector< Real >	du2_

vector< int >	ipiv_

int	N_

ROL::LAPACK< int, Real >	lapack_

Detailed Description

template<class Real>
class ROL::StdTridiagonalOperator< Real >

Provides the std::vector implementation to apply a linear operator, which encapsulates a tridiagonal matrix.

\[ T = \begin{matrix} a_0 & b_0 \\ c_0 & a_1 & b_1 \\ & c_1 & \ddots & \ddots \\ & & \ddots & a_{n-2} & b_{n-2} \\ & & & c_{n-2} & a_{n-1} \end{pmatrix} \]

Definition at line 34 of file ROL_StdTridiagonalOperator.hpp.

Member Typedef Documentation

template<class Real >

template<typename T >

using ROL::StdTridiagonalOperator< Real >::vector = std::vector<T>

private

Definition at line 36 of file ROL_StdTridiagonalOperator.hpp.

Constructor & Destructor Documentation

template<class Real >

ROL::StdTridiagonalOperator< Real >::StdTridiagonalOperator	(	const ROL::Ptr< const vector< Real > > &	a,
		const ROL::Ptr< const vector< Real > > &	b,
		const ROL::Ptr< const vector< Real > > &	c
	)