SG++-Doxygen-Documentation
Public Member Functions | List of all members
sgpp::base::AlgorithmDGEMV< BASIS > Class Template Reference

Basic multiplaction with B and B^T on grids with no boundaries. More...

#include <AlgorithmDGEMV.hpp>

Public Member Functions

void mult (GridStorage &storage, BASIS &basis, const DataVector &source, DataMatrix &x, DataVector &result)
 Performs the DGEMV Operation on the grid having a transposed matrix. More...
 
void mult_transposed (GridStorage &storage, BASIS &basis, const DataVector &source, DataMatrix &x, DataVector &result)
 Performs the DGEMV Operation on the grid. More...
 

Detailed Description

template<class BASIS>
class sgpp::base::AlgorithmDGEMV< BASIS >

Basic multiplaction with B and B^T on grids with no boundaries.

If there are \(N\) basis functions \(\varphi(\vec{x})\) and \(m\) data points, then B is a (Nxm) matrix, with

\[ (B)_{i,j} = \varphi_i(x_j). \]

(The common known name for this operation is the BLAS routine DGEMV.)

Member Function Documentation

◆ mult()

template<class BASIS>
void sgpp::base::AlgorithmDGEMV< BASIS >::mult ( GridStorage &  storage,
BASIS &  basis,
const DataVector &  source,
DataMatrix &  x,
DataVector &  result 
)
inline

Performs the DGEMV Operation on the grid having a transposed matrix.

This operation can be executed in parallel by setting the USEOMP define

Parameters
storageGridStorage object that contains the grid's points information
basisa reference to a class that implements a specific basis
sourcethe coefficients of the grid points
xthe d-dimensional vector with data points (row-wise)
resultthe result vector of the matrix vector multiplication

References sgpp::base::DataMatrix::getNcols(), sgpp::base::DataMatrix::getRow(), sgpp::base::DataVector::getSize(), python.statsfileInfo::i, python.utils.data_projections::line, and sgpp::base::DataVector::setAll().

Referenced by sgpp::base::OperationMultipleEvalLinearStretched::mult(), sgpp::base::OperationMultipleEvalModLinear::mult(), sgpp::base::OperationMultipleEvalPrewavelet::mult(), sgpp::base::OperationMultipleEvalPoly::mult(), sgpp::base::OperationMultipleEvalPolyBoundary::mult(), sgpp::base::OperationMultipleEvalLinearBoundary::mult(), sgpp::base::OperationMultipleEvalPeriodic::mult(), sgpp::base::OperationMultipleEvalLinearStretchedBoundary::mult(), and sgpp::base::OperationMultipleEvalModPoly::mult().

◆ mult_transposed()

template<class BASIS>
void sgpp::base::AlgorithmDGEMV< BASIS >::mult_transposed ( GridStorage &  storage,
BASIS &  basis,
const DataVector &  source,
DataMatrix &  x,
DataVector &  result 
)
inline

Performs the DGEMV Operation on the grid.

This operation can be executed in parallel by setting the USEOMP define

Parameters
storageGridStorage object that contains the grid's points information
basisa reference to a class that implements a specific basis
sourcethe coefficients of the grid points
xthe d-dimensional vector with data points (row-wise)
resultthe result vector of the matrix vector multiplication

References sgpp::base::DataVector::add(), sgpp::base::DataMatrix::getNcols(), sgpp::base::DataMatrix::getRow(), sgpp::base::DataVector::getSize(), python.statsfileInfo::i, python.utils.data_projections::line, and sgpp::base::DataVector::setAll().

Referenced by sgpp::base::OperationMultipleEvalLinearStretched::multTranspose(), sgpp::base::OperationMultipleEvalModLinear::multTranspose(), sgpp::base::OperationMultipleEvalPrewavelet::multTranspose(), sgpp::base::OperationMultipleEvalPoly::multTranspose(), sgpp::base::OperationMultipleEvalPolyBoundary::multTranspose(), sgpp::base::OperationMultipleEvalLinearBoundary::multTranspose(), sgpp::base::OperationMultipleEvalPeriodic::multTranspose(), sgpp::base::OperationMultipleEvalLinearStretchedBoundary::multTranspose(), and sgpp::base::OperationMultipleEvalModPoly::multTranspose().

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