class HCL_SymMatOp_d : public HCL_LinearOp_d

HCL_SymMatOp_d makes a symmetric matrix into a linear operator in the HCL sense

Inheritance:

Public Fields

GenSymMatrix_d*

Matrix Matrix is a pointer to the underlying GenSymMatrix_d, which is the matrix representing the linear operator

Public Methods

	HCL_SymMatOp_d ( GenSymMatrix_d * AA, int flag, HCL_VectorSpace_d * d ) Usual constructor; requires the matrix and the domain
	HCL_SymMatOp_d ( GenSymMatrix_d * AA, int flag, HCL_VectorSpace_d * d, HCL_VectorSpace_d * r ) Usual constructor; requires the matrix, the domain, and the range
virtual HCL_VectorSpace_d&	Domain () const Domain space access
virtual HCL_VectorSpace_d&	Range () const Range space access
virtual void	Image ( const HCL_Vector_d & x, HCL_Vector_d & y ) const Image computes the action of the operator on x, giving y.
virtual void	AdjImage ( const HCL_Vector_d & y, HCL_Vector_d & x ) const AdjImage computes the action of the adjoint on y, giving x.
virtual void	InvImage (const HCL_Vector_d & y, HCL_Vector_d & x) const InvImage computes the action of the inverse on y, giving x.
virtual void	InvAdjImage (const HCL_Vector_d & x, HCL_Vector_d & y) const InvAdjImage computes the action of the inverse adjoint on x, giving y
HCL_UpperTriangularMatOp_d*	Cholesky () const Cholesky creates the linear operator which is represented by the (upper triangular) Cholesky factor of the underlying matrix
virtual ostream&	Write ( ostream & str ) const Debugging information.

Inherited from HCL_LinearOp_d:

Public Methods

int CheckAdj(int Display = 1, double tol = 1000 )

virtual void NormalImage( const HCL_Vector_d & x, HCL_Vector_d & z ) const

int CheckNormal( int display = 1, double tol = 100 )

virtual void ImageAdd(const HCL_Vector_d & x, const HCL_Vector_d & z, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void AdjImageAdd(const HCL_Vector_d & x, const HCL_Vector_d & z, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void NormalImageAdd(const HCL_Vector_d & x, const HCL_Vector_d & z, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void InvImageAdd(const HCL_Vector_d & x, const HCL_Vector_d & z, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void InvAdjImageAdd(const HCL_Vector_d & x, const HCL_Vector_d & z, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void ImageAdd(const HCL_Vector_d & x, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void AdjImageAdd(const HCL_Vector_d & x, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void NormalImageAdd(const HCL_Vector_d & x, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void InvImageAdd(const HCL_Vector_d & x, HCL_Vector_d & y, double a=1.0, double b=1.0) const

virtual void InvAdjImageAdd(const HCL_Vector_d & x, HCL_Vector_d & y, double a=1.0, double b=1.0) const

Inherited from HCL_Base:

Public Methods

void IncCount() const

void DecCount() const

int Count() const

GenSymMatrix_d* Matrix

Matrix is a pointer to the underlying GenSymMatrix_d, which is the matrix representing the linear operator. The matrix is public so that its methods are available. For instance, a GenSymMatrix_d knows how to compute its eigenvalues and eigenvectors through the method eig.

HCL_SymMatOp_d( GenSymMatrix_d * AA, int flag, HCL_VectorSpace_d * d )

Usual constructor; requires the matrix and the domain. (The range is assumed to equal the domain.) Also, a flag must be passed to indicate whether the matrix is to be deleted upon destruction of the operator (nonzero = delete, zero = no delete).

HCL_SymMatOp_d( GenSymMatrix_d * AA, int flag, HCL_VectorSpace_d * d, HCL_VectorSpace_d * r )

Usual constructor; requires the matrix, the domain, and the range. Note that the dimensions of the domain and range must agree. Also, a flag must be passed to indicate whether the matrix is to be deleted upon destruction of the operator (nonzero = delete, zero = no delete).

virtual HCL_VectorSpace_d& Domain() const

Domain space access. Returns a reference to the domain of the operator, which is an HCL_VectorSpace_d.

virtual HCL_VectorSpace_d& Range() const

Range space access. Returns a reference to the range of the operator, which is an HCL_VectorSpace_d.

virtual void Image( const HCL_Vector_d & x, HCL_Vector_d & y ) const

Image computes the action of the operator on x, giving y.

virtual void AdjImage( const HCL_Vector_d & y, HCL_Vector_d & x ) const

AdjImage computes the action of the adjoint on y, giving x.

virtual void InvImage(const HCL_Vector_d & y, HCL_Vector_d & x) const

InvImage computes the action of the inverse on y, giving x.

virtual void InvAdjImage(const HCL_Vector_d & x, HCL_Vector_d & y) const

InvAdjImage computes the action of the inverse adjoint on x, giving y

HCL_UpperTriangularMatOp_d* Cholesky() const

Cholesky creates the linear operator which is represented by the (upper triangular) Cholesky factor of the underlying matrix. The return value is NULL if the matrix is not positive definite and therefore does not have a Cholesky factorization.

virtual ostream& Write( ostream & str ) const

Debugging information.

alphabetic index hierarchy of classes

this page has been generated automatically by doc++

(c)opyright by Malte Zöckler, Roland Wunderling
contact: doc++@zib.de