class HCL_OpDefaultPartialDeriv_d : public HCL_LinearOp_d

HCL_OpDefaultPartialDeriv_d is a linear operator class implementing a partial derivative of a nonlinear operator

Inheritance:

Public Methods

HCL_OpDefaultPartialDeriv_d ( int i, const HCL_EvalOpProductDomain_d * ev )
Usual constructor; just need an operator's evaluation object and an integer indicating which partial derivative is desired
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 compute 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
virtual ostream& Write ( ostream & str ) const
Write prints a description of the object

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

Documentation

HCL_OpDefaultPartialDeriv_d is a linear operator class implementing a partial derivative of a nonlinear operator. It exists to relieve the implementor of an operator class from the necessity of creating a distinct class to represent the derivative if there is no (efficiency) advantage gained by creating such a class. In order to use this default derivative class, the implementor of the operator class must implement the protected virtual functions PartialDerivImage, PartialDerivAdjImage, etc.

The various mechanisms for implementing operator classes are explained in detail, with concrete examples, in the report

"Implementing operators in HCL", Technical Report 99-22, Department of Computational and Applied Mathematics, Rice University, Houston, TX 77251-1892.

A forthcoming report, "Implementing HCL functionals and operators on product spaces", will provide similar details about implementing operators on product spaces. This report should be available from the same source in early 2000.

HCL_OpDefaultPartialDeriv_d( int i, const HCL_EvalOpProductDomain_d * ev )
Usual constructor; just need an operator's evaluation object and an integer indicating which partial derivative is desired

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 compute 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

virtual ostream& Write( ostream & str ) const
Write prints a description of the object

This class has no child classes.

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