SparseGridMtxLDL Class Reference

Summary description for SparseGridMtx. More...

#include <SparseGridMtxLDL.h>

Inheritance diagram for SparseGridMtxLDL:

Public Member Functions
void	AddValue (long bi, long bj, long si, long sj, double val)
void	AlocateMemoryByPattern (IConectMatrix *bskl)
virtual double &	ElementAt (int i, int j)
virtual void	Factorize ()
virtual void	Factorize_Incomplete ()
void	FactorizeOMP ()
double	GetValue (long bi, long bj, long si, long sj, long &aux_bi_idx, long &aux_bj_idx)
virtual void	LoadMatrixNumbers (SparseMatrixF &sm)
virtual void	LoadZeros ()
virtual void	MultiplyByVector (const LargeVectorAttach &x, LargeVectorAttach &y)
virtual void	SchurComplementFactorization (int fixed_blocks)
void	SetValue (long bi, long bj, long si, long sj, double val, long &aux_bi_idx, long &aux_bj_idx)
virtual void	Solve (double b, double x)
virtual void	SolveA11 (double *x, long fixed_blocks)
void	SolveLDL (double *x, long fixed_blocks=0)
void	SolveLDL_block_perm (const LargeVector &b, LargeVector &x)
void	SolveLDL_node_perm (const LargeVector &b, LargeVector &x)
virtual void	SolveLV (const LargeVector &b, LargeVector &x)
	SparseGridMtxLDL (SparseMatrixF &sm, BYTE block_size, Ordering block_order, Ordering node_order, MathTracer *eMT, BOOL load_data=1)
	SparseGridMtxLDL (SparseMatrixF &sm, BYTE block_size, Ordering block_order, MathTracer eMT, BOOL load_data=1)
virtual void	Sub_A11inv_A12 (double *x, long fixed_blocks)
virtual void	Sub_A21_A11inv (double *x, long fixed_blocks)
virtual void	WriteCondensedMatrixA22 (double a, Ordering mcn, IntArrayList *lncn)
virtual	~SparseGridMtxLDL ()
Public Attributes
double *	Columns_data
LargeVector *	tmp_vector_BS
LargeVector *	tmp_vector_BS_nodes
Private Member Functions
void	BackSubstLT (double *x, long fixed_blocks)
void	ForwardSubstL (double *x, long fixed_blocks)
void	SolveD (double *x, long fixed_blocks)
void	SubMultL12 (double px, double py, long fixed_blocks)
	y -= L12 * x
void	SubMultL12T (double px, double py, long fixed_blocks)
	y -= L12^T * x

Detailed Description

Summary description for SparseGridMtx.

Definition at line 13 of file SparseGridMtxLDL.h.

Constructor & Destructor Documentation

SparseGridMtxLDL	(	SparseMatrixF &	sm,
		BYTE	block_size,
		Ordering *	block_order,
		MathTracer *	eMT,
		BOOL	load_data = `1`
	)

Definition at line 9 of file SparseGridMtxLDL.cpp.

References SparseMatrixF::a, AlocateMemoryByPattern(), Ordering::cm, SparseGridMtx::ComputeBlocks(), and LoadMatrixNumbers().

SparseGridMtxLDL	(	SparseMatrixF &	sm,
		BYTE	block_size,
		Ordering *	block_order,
		Ordering *	node_order,
		MathTracer *	eMT,
		BOOL	load_data = `1`
	)

Definition at line 22 of file SparseGridMtxLDL.cpp.

References SparseMatrixF::a, AlocateMemoryByPattern(), Ordering::cm, SparseGridMtx::ComputeBlocks(), and LoadMatrixNumbers().

~SparseGridMtxLDL ( ) [virtual]

Definition at line 150 of file SparseGridMtxLDL.cpp.

References Columns_data.

Member Function Documentation

void AddValue	(	long	bi,
		long	bj,
		long	si,
		long	sj,
		double	val
	)			`[inline]`

Definition at line 58 of file SparseGridMtxLDL.h.

References SparseGridColumn::AddValue(), SparseGridMtx::block_storage, SparseGridMtx::Columns, and Columns_data.

void AlocateMemoryByPattern ( IConectMatrix * bskl )

Reimplemented from SparseGridMtx.

Definition at line 156 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_storage, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridMtx::columns_data_length, IConectMatrix::DetachIndexesAboveDiagonalInColumn(), SparseGridColumn::Entries, long(), IMatrix::N(), SparseGridMtx::n_blocks, TraceableMatrix::Write(), and TraceableMatrix::Writeln().

Referenced by SparseGridMtxLDL().

void BackSubstLT	(	double *	x,
		long	fixed_blocks
	)			`[private]`

Definition at line 884 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_order, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridMtx::BlockArith, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridColumn::Entries, SparseGridColumn::IndexesUfa, IntArrayList::Items, SparseGridMtx::N(), SparseGridMtx::n_blocks, no, Ordering::order, and DenseMatrixArithmetics::SubMultBlockByVector().

Referenced by SolveLDL(), and Sub_A11inv_A12().

double & ElementAt	(	int	i,
		int	j
	)			`[virtual]`

Implements ILargeMatrix.

Definition at line 193 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_order, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridColumn::FindExistingBlockIndex(), IntArrayList::Items, SparseGridMtx::node_order, and Ordering::perm.

void Factorize ( ) [virtual]

void ForwardSubstL	(	double *	x,
		long	fixed_blocks
	)			`[private]`

Definition at line 851 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_order, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridMtx::BlockArith, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridColumn::Entries, SparseGridColumn::IndexesUfa, IntArrayList::Items, SparseGridMtx::N(), SparseGridMtx::n_blocks, no, Ordering::order, and DenseMatrixArithmetics::SubMultTBlockByVector().

Referenced by SolveLDL(), and Sub_A21_A11inv().

double GetValue	(	long	bi,
		long	bj,
		long	si,
		long	sj,
		long &	aux_bi_idx,
		long &	aux_bj_idx
	)			`[inline]`

Definition at line 46 of file SparseGridMtxLDL.h.

References SparseGridMtx::block_storage, SparseGridMtx::Columns, Columns_data, and SparseGridColumn::GetValue().

Referenced by WriteCondensedMatrixA22().

void LoadMatrixNumbers ( SparseMatrixF & sm ) [virtual]

Implements SparseGridMtx.

Definition at line 55 of file SparseGridMtxLDL.cpp.

References SparseMatrixF::a, SparseMatrixF::Adr(), SparseGridMtx::block_order, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseMatrixF::Ci(), SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridColumn::FindExistingBlockIndex(), IntArrayList::Items, LoadZeros(), long(), SparseMatrixF::neq, SparseGridMtx::node_order, SparseGridMtx::nonzeros, and Ordering::perm.

Referenced by SparseGridMtxLDL().

void LoadZeros ( ) [virtual]

Implements ILargeMatrix.

Definition at line 33 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_order, SparseGridMtx::block_size, SparseGridMtx::block_storage, Columns_data, SparseGridMtx::columns_data_length, IntArrayList::Items, memset(), SparseGridMtx::n_blocks, SparseGridMtx::node_order, SparseGridMtx::noDummyDOFs, and Ordering::perm.

Referenced by LoadMatrixNumbers().

void MultiplyByVector	(	const LargeVectorAttach &	x,
		LargeVectorAttach &	y
	)			`[virtual]`

Reimplemented from SparseGridMtx.

Definition at line 280 of file SparseGridMtxLDL.cpp.

References DenseMatrixArithmetics::AddMultBlockByVectorSym(), SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridMtx::BlockArith, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, LargeVectorAttach::DataPtr(), SparseGridColumn::Entries, SparseGridColumn::IndexesUfa, LargeVectorAttach::Initialize(), IntArrayList::Items, DenseMatrixArithmetics::MultDiagonalBlockByVector(), and SparseGridMtx::n_blocks.

void SchurComplementFactorization ( int fixed_blocks ) [virtual]

Implements SparseGridMtx.

Definition at line 650 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_storage, SparseGridMtx::BlockArith, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridMtx::ComputeBlocks(), Array::Copy(), SparseGridColumn::Entries, DenseMatrixArithmetics::FactorizeBlock(), SparseGridColumn::IndexesUfa, IntArrayList::Items, memset(), SparseGridMtx::n_blocks, DenseMatrixArithmetics::SubATBproduct(), DenseMatrixArithmetics::SubstSolveBlock(), and DenseMatrixArithmetics::zero_pivots.

void SetValue	(	long	bi,
		long	bj,
		long	si,
		long	sj,
		double	val,
		long &	aux_bi_idx,
		long &	aux_bj_idx
	)			`[inline]`

Definition at line 34 of file SparseGridMtxLDL.h.

References SparseGridMtx::block_storage, SparseGridMtx::Columns, Columns_data, and SparseGridColumn::SetValue().

void Solve	(	double *	b,
		double *	x
	)			`[virtual]`

Implements SparseGridMtx.

Definition at line 761 of file SparseGridMtxLDL.cpp.

References Array::Copy(), SparseGridMtx::n, and SolveLDL().

Referenced by SolveLDL_block_perm().

void SolveA11	(	double *	x,
		long	fixed_blocks
	)			`[virtual]`

Implements SparseGridMtx.

Definition at line 904 of file SparseGridMtxLDL.cpp.

References SolveLDL().

void SolveD	(	double *	x,
		long	fixed_blocks
	)			`[private]`

Definition at line 872 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_order, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridMtx::BlockArith, Columns_data, IntArrayList::Items, SparseGridMtx::N(), SparseGridMtx::n_blocks, Ordering::order, and DenseMatrixArithmetics::SubstSolve().

Referenced by SolveLDL(), and Sub_A21_A11inv().

void SolveLDL	(	double *	x,
		long	fixed_blocks = `0`
	)

Definition at line 793 of file SparseGridMtxLDL.cpp.

References BackSubstLT(), ForwardSubstL(), and SolveD().

Referenced by Solve(), and SolveA11().

void SolveLDL_block_perm	(	const LargeVector &	b,
		LargeVector &	x
	)

Definition at line 787 of file SparseGridMtxLDL.cpp.

References LargeVectorAttach::DataPtr(), and Solve().

Referenced by SolveLDL_node_perm().

void SolveLDL_node_perm	(	const LargeVector &	b,
		LargeVector &	x
	)

Definition at line 773 of file SparseGridMtxLDL.cpp.

References LargeVectorAttach::GetPermuted_1Vector(), LargeVectorAttach::GetPermutedVector(), IntArrayList::Items, SparseGridMtx::node_order, Ordering::perm, SolveLDL_block_perm(), and tmp_vector_BS_nodes.

Referenced by SolveLV().

void SolveLV	(	const LargeVector &	b,
		LargeVector &	x
	)			`[virtual]`

Implements SparseGridMtx.

Definition at line 768 of file SparseGridMtxLDL.cpp.

References SolveLDL_node_perm().

void Sub_A11inv_A12	(	double *	x,
		long	fixed_blocks
	)			`[virtual]`

Implements SparseGridMtx.

Definition at line 916 of file SparseGridMtxLDL.cpp.

References BackSubstLT(), and SubMultL12().

void Sub_A21_A11inv	(	double *	x,
		long	fixed_blocks
	)			`[virtual]`

Implements SparseGridMtx.

Definition at line 909 of file SparseGridMtxLDL.cpp.

References ForwardSubstL(), SolveD(), and SubMultL12T().

void SubMultL12	(	double *	px,
		double *	py,
		long	fixed_blocks
	)			`[private]`

y -= L12 * x

Definition at line 826 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_order, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridMtx::BlockArith, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridColumn::Entries, SparseGridColumn::IndexesUfa, IntArrayList::Items, SparseGridMtx::n_blocks, no, Ordering::order, and DenseMatrixArithmetics::SubMultBlockByVector().

Referenced by Sub_A11inv_A12().

void SubMultL12T	(	double *	px,
		double *	py,
		long	fixed_blocks
	)			`[private]`

y -= L12^T * x

Definition at line 801 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_order, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridMtx::BlockArith, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridColumn::Entries, SparseGridColumn::IndexesUfa, IntArrayList::Items, SparseGridMtx::n_blocks, no, Ordering::order, and DenseMatrixArithmetics::SubMultTBlockByVector().

Referenced by Sub_A21_A11inv().

void WriteCondensedMatrixA22	(	double *	a,
		Ordering *	mcn,
		IntArrayList *	lncn
	)			`[virtual]`

Implements SparseGridMtx.

Definition at line 922 of file SparseGridMtxLDL.cpp.

References SparseGridMtx::block_order, SparseGridMtx::BlockSize(), IntArrayList::Count, GetValue(), IntArrayList::Items, and Ordering::perm.

Member Data Documentation

double* Columns_data

Definition at line 29 of file SparseGridMtxLDL.h.

Referenced by AddValue(), AlocateMemoryByPattern(), BackSubstLT(), ElementAt(), Factorize(), Factorize_Incomplete(), FactorizeOMP(), ForwardSubstL(), GetValue(), LoadMatrixNumbers(), LoadZeros(), MultiplyByVector(), SchurComplementFactorization(), SetValue(), SolveD(), SubMultL12(), SubMultL12T(), and ~SparseGridMtxLDL().

LargeVector* tmp_vector_BS

Definition at line 86 of file SparseGridMtxLDL.h.

LargeVector* tmp_vector_BS_nodes

Definition at line 83 of file SparseGridMtxLDL.h.

Referenced by SolveLDL_node_perm().

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

SIFEL/GEFEL/SPARSE/SparseGridMtxLDL.h
SIFEL/GEFEL/SPARSE/SparseGridMtxLDL.cpp

SparseGridMtxLDL Class Reference

Public Member Functions

Public Attributes

Private Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation