SVDecomposition.hpp File Reference

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...

Detailed Description

Implementation of matrix singular value decomposition and associated operations.