Used to manipulate the wavelet values and solve for the wavelet coefficients. More...

#include <tsgLinearSolvers.hpp>

Public Member Functions
	WaveletBasisMatrix ()
	Default constructor, create an empty matrix.

	WaveletBasisMatrix (AccelerationContext const *acceleration, const std::vector< int > &lpntr, const std::vector< std::vector< int > > &lindx, const std::vector< std::vector< double > > &lvals)
	Initialize the matrix with the given set of indexes.

	WaveletBasisMatrix (AccelerationContext const *acceleration, int cnum_rows, GpuVector< double > &&matrix)
	Initialize the matrix in dense mode with the given data.

	~WaveletBasisMatrix ()=default
	Default destructor.

	WaveletBasisMatrix (WaveletBasisMatrix const &)=delete
	Cannot copy.

	WaveletBasisMatrix (WaveletBasisMatrix &&)=default
	Move constructor.

WaveletBasisMatrix &	operator= (WaveletBasisMatrix const &)=delete
	Cannot copy.

WaveletBasisMatrix &	operator= (WaveletBasisMatrix &&)=default
	Move assignment.

bool	isSparse () const
	Return true if using the sparse mode and false is using dense mode or empty.

bool	isDense () const
	Return true if using the dense mode and false is using sparse mode or empty.

int	getNumRows () const
	Return the number of rows in the matrix.

void	invertTransposed (AccelerationContext const *acceleration, double b[]) const
	Overwrites vector b with x that solves .

void	invert (AccelerationContext const *acceleration, int num_colums, double B[])
	Overwrites the row-major matrix B with X that solves .

template<bool transpose, bool blas>
void	solve (const double b[], double x[]) const
	Solve `op(A) x = b` where `op` is either identity (find the coefficients) or transpose (find the interpolation weights).

Static Public Member Functions
static bool	useDense (AccelerationContext const *acceleration, int nrows)
	Decide between sparse and dense variant of the algorithms.

Protected Member Functions
void	factorize (AccelerationContext const *acceleration)
	Computes the factorization of the matrix, ILU or PLU using the provided acceleration context (called by the constructor).

void	computeILU ()
	Compute the incomplete lower-upper decomposition of the matrix (zero extra fill).

template<bool transpose>
void	applyILU (double x[]) const
	Apply the preconditioner on a vector.

template<bool transpose>
void	apply (double const x[], double r[]) const
	Sets to be the product of the sparse matrix times x.

void	residual (double const x[], double const b[], double r[]) const
	Computes the residual.

Static Protected Attributes
static constexpr bool	use_transpose = true
	Expressive call to transpose method.

static constexpr bool	no_transpose = false
	Expressive call to no transpose method.

static constexpr bool	use_blas = true
	Expressive call to blas variant method.

static constexpr bool	no_blas = false
	Expressive call to no-blas variant method.

Detailed Description

Used to manipulate the wavelet values and solve for the wavelet coefficients.

The documentation for this class was generated from the following file:

SparseGrids/tsgLinearSolvers.hpp

Public Member Functions

Static Public Member Functions

Protected Member Functions

Static Protected Attributes

Detailed Description