linalg.h File Reference

#include <boost/numeric/ublas/banded.hpp>
#include <boost/numeric/ublas/matrix.hpp>
#include <boost/numeric/ublas/symmetric.hpp>
#include <boost/numeric/ublas/vector.hpp>
#include <boost/numeric/ublas/operation.hpp>
#include <boost/numeric/ublas/lu.hpp>
#include <boost/numeric/ublas/vector_proxy.hpp>
#include <cassert>
#include "mimasconfig.h"
#include "angle.h"
#include "mimasexception.h"
#include "linalg.tcc"

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Namespaces
namespace	mimas
Classes
struct	mimas::gglse_t< T >
	Function-object for gglse. More...
struct	mimas::inv_t< T >
	Function-object for inv. More...
struct	mimas::gels_t< T >
	Function-object for gels. More...
struct	mimas::gesvd_t< T >
	Function-object for gesvd. More...
struct	mimas::gesdd_t< T >
	Function-wrapper for gesdd. More...
struct	mimas::syev_t< T >
	Function-wrapper for syev. More...
struct	mimas::pptrf_t< T >
	Function-object for pptrf. More...
Functions
template<typename T>
boost::numeric::ublas::vector< T >	mimas::unit (const boost::numeric::ublas::vector< T > &x)
	Compute unit vector.
template<typename T>
T	mimas::scalar_cross_product (const boost::numeric::ublas::vector< T > &a, const boost::numeric::ublas::vector< T > &b)
	Scalar cross product.
template<typename T>
angle	mimas::getAngle (const boost::numeric::ublas::vector< T > &a, const boost::numeric::ublas::vector< T > &b)
	Compute angle between two 2-dimensional vectors.
template<typename T>
boost::numeric::ublas::vector< T >	mimas::rotate (const boost::numeric::ublas::vector< T > &v, const angle &a)
	2-dimensional rotation in the mathematical direction.
template<typename T>
boost::numeric::ublas::vector< T >	mimas::crossProduct (boost::numeric::ublas::vector< T > &a, boost::numeric::ublas::vector< T > &b)
	Cross product for 3-dimensional vectors.
template<typename T>
boost::numeric::ublas::vector< T >	mimas::rodrigues (boost::numeric::ublas::vector< T > const &u, boost::numeric::ublas::vector< T > const &v, double angle)
	Rodrigues' rotation formula.
template<typename T>
double	mimas::determinant (boost::numeric::ublas::matrix< T > const &M)
	Determinant of a matrix using the LU factorization.
template<typename T>
boost::numeric::ublas::vector< T >	mimas::gglse (const boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > &A, const boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > &B, const boost::numeric::ublas::vector< T > &c, const boost::numeric::ublas::vector< T > &d)
	Solve the linear equality-constrained least squares (LSE) problem.
template<typename T>
boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major >	mimas::inv (const boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > &A)
	Compute matrix inverse by using LU factorization.
template<typename T>
boost::numeric::ublas::vector< T >	mimas::gels (const boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > &A, const boost::numeric::ublas::vector< T > &b)
	solve overdetermined linear systems using QR factorization.
template<typename T>
boost::numeric::ublas::banded_matrix< T >	mimas::gesvd (const boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > &A, boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > *U, boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > *Vt)
	Compute the singular value decomposition (SVD) of a matrix A.
template<typename T>
boost::numeric::ublas::banded_matrix< T >	mimas::gesdd (const boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > &A, boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > *U, boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > *Vt)
	Compute the singular value decomposition (SVD) of a matrix A (fast).
template<typename T>
boost::numeric::ublas::diagonal_matrix< T >	mimas::syev (const boost::numeric::ublas::symmetric_matrix< T, boost::numeric::ublas::upper > &A, boost::numeric::ublas::matrix< T, boost::numeric::ublas::column_major > *E)
	Compute all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A.
template<typename T>
boost::numeric::ublas::triangular_matrix< T, boost::numeric::ublas::upper, boost::numeric::ublas::column_major >	mimas::pptrf (const boost::numeric::ublas::symmetric_matrix< T, boost::numeric::ublas::upper, boost::numeric::ublas::column_major > &A)
	Compute the Cholesky decomposition of a symmetric matrix A.

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