Chemical Data Processing Library C++ API - Version 1.1.1
|
Implementation of matrix singular value decomposition and associated operations. More...
#include <cstddef>
#include <cmath>
#include <limits>
#include "CDPL/Math/Check.hpp"
#include "CDPL/Math/CommonType.hpp"
#include "CDPL/Math/TypeTraits.hpp"
#include "CDPL/Math/MatrixProxy.hpp"
#include "CDPL/Math/Vector.hpp"
#include "CDPL/Math/SpecialFunctions.hpp"
#include "CDPL/Base/Exceptions.hpp"
Go to the source code of this file.
Namespaces | |
CDPL | |
The namespace of the Chemical Data Processing Library. | |
CDPL::Math | |
Contains classes and functions related to mathematics. | |
Functions | |
template<typename A , typename W , typename V > | |
bool | CDPL::Math::svDecompose (MatrixExpression< A > &a, VectorExpression< W > &w, MatrixExpression< V > &v, std::size_t max_iter=0) |
Computes the Singular Value Decomposition [WSVD] \( A = UWV^T \) of a \( M \times N \)-dimensional matrix a. More... | |
template<typename U , typename W , typename V , typename B , typename X > | |
void | CDPL::Math::svSubstitute (const MatrixExpression< U > &u, const VectorExpression< W > &w, const MatrixExpression< V > &v, const VectorExpression< B > &b, VectorExpression< X > &x) |
Solves \( A \cdot X = B \) for a vector \( X \) where \( A \) is given by its Singular Value Decomposition [WSVD]. More... | |
template<typename U , typename W , typename V , typename B , typename X > | |
void | CDPL::Math::svSubstitute (const MatrixExpression< U > &u, const VectorExpression< W > &w, const MatrixExpression< V > &v, const MatrixExpression< B > &b, MatrixExpression< X > &x) |
Solves \( A \cdot X = B \) for a matrix \( X \) where \( A \) is given by its Singular Value Decomposition [WSVD]. More... | |
Implementation of matrix singular value decomposition and associated operations.