operator.h File Reference

#include <vector>
#include <algorithm>
#include <cmath>
#include <iterator>
#include <stdexcept>
#include <cassert>
#include "dlt.h"
#include "../blas1.h"

Go to the source code of this file.

Classes
class	dg::Operator< T >
	A square nxn matrix. More...

Namespaces
namespace	dg
	This is the namespace for all functions and classes defined and used by the discontinuous Galerkin library.
namespace	dg::create
	Contains functions used for matrix creation.

Functions
template<class T >
T	dg::create::lu_pivot (dg::Operator< T > &m, std::vector< unsigned > &p)
	LU Decomposition with partial pivoting. More...
template<class T >
void	dg::create::lu_solve (const dg::Operator< T > &lu, const std::vector< unsigned > &p, std::vector< T > &b)
	Solve the linear system with the LU decomposition. More...
template<class T >
dg::Operator< T >	dg::create::inverse (const dg::Operator< T > &in)
	Compute the inverse of a square matrix. More...
template<class real_type >
Operator< real_type >	dg::create::delta (unsigned n)
	Create the unit matrix. More...
template<class real_type >
Operator< real_type >	dg::create::pipj (unsigned n)
	Create the S-matrix. More...
template<class real_type >
Operator< real_type >	dg::create::pipj_inv (unsigned n)
	Create the T-matrix. More...
template<class real_type >
Operator< real_type >	dg::create::pidxpj (unsigned n)
	Create the D-matrix. More...
template<class real_type >
Operator< real_type >	dg::create::rirj (unsigned n)
	Create the R-matrix. More...
template<class real_type >
Operator< real_type >	dg::create::rilj (unsigned n)
	Create the RL-matrix. More...
template<class real_type >
Operator< real_type >	dg::create::lirj (unsigned n)
	Create the LR-matrix. More...
template<class real_type >
Operator< real_type >	dg::create::lilj (unsigned n)
	Create the L-matrix. More...
template<class real_type >
Operator< real_type >	dg::create::ninj (unsigned n)
	Create the N-matrix. More...
template<class real_type >
Operator< real_type >	dg::create::weights (const DLT< real_type > &dlt)
	Construct a diagonal operator with weights. More...
template<class real_type >
Operator< real_type >	dg::create::inv_weights (const DLT< real_type > &dlt)
	Construct a diagonal operator with inverse weights. More...
template<class T >
dg::Operator< T >	dg::invert (const dg::Operator< T > &in)
	Alias for dg::create::inverse. Compute inverse of square matrix. More...