lu.h File Reference

Implements LU decomposition for square matrix expressions. More...

#include <cml/et/size_checking.h>
#include <cml/matrix/matrix_expr.h>
#include <cml/matvec/matvec_promotions.h>

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Namespaces
namespace	cml
namespace	cml::detail
Functions
template<typename XprT >
et::MatrixXpr< XprT > ::temporary_type	cml::lu (const et::MatrixXpr< XprT > &e)
	LU factorization for a matrix expression.
template<typename E , class AT , typename BO , class L >
matrix< E, AT, BO, L > ::temporary_type	cml::lu (const matrix< E, AT, BO, L > &m)
	LU factorization for a matrix.
template<class MatT >
MatT::temporary_type	cml::detail::lu_copy (const MatT &M)
template<class MatT >
void	cml::detail::lu_inplace (MatT &A)
template<typename MatT , typename VecT >
et::MatVecPromote< MatT, VecT > ::temporary_type	cml::lu_solve (const MatT &LU, const VecT &b)
	Solve y = LUx for x.

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Detailed Description

Implements LU decomposition for square matrix expressions.

Todo:

The LU implementation does not check for a zero diagonal entry (implying that the input has no LU factorization).

Todo:

Should also have a pivoting implementation.

Todo:

need to throw a numeric error if the determinant of the matrix given to lu(), lu_solve(), or inverse() is 0.

Definition in file lu.h.