HCL_OpDefaultSecondPartialDeriv_d is a linear operator class implementing a second partial derivative of a nonlinear operator
|HCL_OpDefaultSecondPartialDeriv_d ( int i, int j, const HCL_EvalOpProductDomain_d * ev )|
Usual constructor; just need an operator's evaluation object
|virtual HCL_VectorSpace_d&||Domain1 () const |
Access to the domain of the first argument
|virtual HCL_VectorSpace_d&||Domain2 () const |
Access to the domain of the second argument
|virtual HCL_VectorSpace_d&||Range () const |
Access to the range
|virtual void||Image ( const HCL_Vector_d & x, const HCL_Vector_d & y, HCL_Vector_d & z ) const |
Image computes the action of the operator on the pair (x,y), giving z.
|virtual ostream&||Write ( ostream & str ) const |
Write prints a description of the object
|virtual void||PartialAdjImage ( int flag, const HCL_Vector_d & xy, const HCL_Vector_d & z, HCL_Vector_d & yx ) const |
PartialAdjImage computes the action of the so-called "partial adjoint" of the bilinear operator
HCL_OpDefaultSecondPartialDeriv_d is a linear operator class implementing a second 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 SecondPartialDerivImage and SecondPartialDerivPartialAdjImage.
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.
alphabetic index hierarchy of classes
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(c)opyright by Malte Zöckler, Roland Wunderling