SG++

Abstract implementation for multiple function evaluations. More...
#include <AlgorithmMultipleEvaluation.hpp>
Public Member Functions  
void  mult (GridStorage &storage, BASIS &basis, DataVector &source, DataMatrix &x, DataVector &result) 
Performs a mass evaluation. More...  
void  mult_transpose (GridStorage &storage, BASIS &basis, DataVector &source, DataMatrix &x, DataVector &result) 
Performs a transposed mass evaluation. More...  
Abstract implementation for multiple function evaluations.
In Data Mining to operators are needed: mass evaluation and transposed evaluation, referenced in literature as matrix vector products with matrices B^T (mass evaluation) and B (transposed evaluation).
If there are \(N\) basis functions \(\varphi(\vec{x})\) and \(m\) data points, then B is a (mxN) matrix, with
\[ (B)_{j,i} = \varphi_i(x_j). \]

inline 
Performs a mass evaluation.
storage  GridStorage object that contains the grid's points information 
basis  a reference to a class that implements a specific basis 
source  the coefficients of the grid points 
x  the ddimensional vector with data points (rowwise) 
result  the result vector of the matrix vector multiplication 
References sgpp::base::DataMatrix::getNcols(), sgpp::base::DataMatrix::getRow(), sgpp::base::DataVector::getSize(), and sgpp::base::DataVector::setAll().
Referenced by sgpp::base::OperationMultipleEvalLinear::mult().

inline 
Performs a transposed mass evaluation.
storage  GridStorage object that contains the grid's points information 
basis  a reference to a class that implements a specific basis 
source  the coefficients of the grid points 
x  the ddimensional vector with data points (rowwise) 
result  the result vector of the matrix vector multiplication 
References sgpp::base::DataVector::add(), sgpp::base::DataMatrix::getNcols(), sgpp::base::DataMatrix::getRow(), sgpp::base::DataVector::getSize(), and sgpp::base::DataVector::setAll().
Referenced by sgpp::base::OperationMultipleEvalLinear::multTranspose().