SparseGridMtxLU Class Reference

Summary description for SparseGridMtx. More...

#include <SparseGridMtxLU.h>

Inheritance diagram for SparseGridMtxLU:
SparseGridMtx TraceableMatrix ILargeMatrix IMatrix

List of all members.

Public Member Functions

void AlocateMemoryByPattern (IConectMatrix *bskl)
void BackSubstU (double *x, long fixed_blocks)
virtual double & ElementAt (int i, int j)
virtual void Factorize ()
void ForwardSubstL (double *x, long fixed_blocks)
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 Solve (double *b, double *x)
virtual void SolveA11 (double *x, long fixed_blocks)
void SolveLU (double *x, long fixed_blocks=0)
virtual void SolveLV (const LargeVector &b, LargeVector &x)
 SparseGridMtxLU (SparseMatrixF &sm, BYTE block_size, Ordering *block_order, Ordering *node_order, MathTracer *eMT, BOOL load_data=1)
 SparseGridMtxLU (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)
void SubMultL21 (double *px, double *py, long fixed_blocks)
 y -= L12 * x
void SubMultU12 (double *px, double *py, long fixed_blocks)
 y -= U12 * x
virtual void WriteCondensedMatrixA22 (double *a, Ordering *mcn, IntArrayList *lncn)
virtual ~SparseGridMtxLU ()

Public Attributes

double * Columns_data
double * Diagonal_data
double * Rows_data

Detailed Description

Summary description for SparseGridMtx.

Definition at line 13 of file SparseGridMtxLU.h.

Constructor & Destructor Documentation

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

Definition at line 9 of file SparseGridMtxLU.cpp.

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

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

Definition at line 23 of file SparseGridMtxLU.cpp.

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

~SparseGridMtxLU (  )  [virtual]

Definition at line 194 of file SparseGridMtxLU.cpp.

References Columns_data, Diagonal_data, and Rows_data.

Member Function Documentation

void AlocateMemoryByPattern ( IConectMatrix *  bskl  ) 

Reimplemented from SparseGridMtx.

Definition at line 201 of file SparseGridMtxLU.cpp.

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

Referenced by SparseGridMtxLU().

void BackSubstU ( double *  x,
long  fixed_blocks 
)

Definition at line 509 of file SparseGridMtxLU.cpp.

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

Referenced by SolveLU(), and Sub_A11inv_A12().

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

Implements ILargeMatrix.

Definition at line 35 of file SparseGridMtxLU.cpp.

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

void Factorize (  )  [virtual]

Implements SparseGridMtx.

Definition at line 261 of file SparseGridMtxLU.cpp.

References MathTracer::act_block, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridMtx::BlockArith, MathTracer::break_flag, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridMtx::ComputeBlocks(), Diagonal_data, TraceableMatrix::eMT, SparseGridColumn::Entries, SparseGridColumn::IndexesUfa, IntArrayList::Items, long(), DenseMatrixArithmetics::LU_Decomposition(), memset(), SparseGridMtx::n_blocks, Rows_data, DenseMatrixArithmetics::SubATBproduct(), DenseMatrixArithmetics::ULT_BlockSolve(), TraceableMatrix::Write(), and DenseMatrixArithmetics::zero_pivots.

void ForwardSubstL ( double *  x,
long  fixed_blocks 
)

Definition at line 483 of file SparseGridMtxLU.cpp.

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

Referenced by SolveLU(), 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 35 of file SparseGridMtxLU.h.

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

Referenced by WriteCondensedMatrixA22().

void LoadMatrixNumbers ( SparseMatrixF &  sm  )  [virtual]

Implements SparseGridMtx.

Definition at line 105 of file SparseGridMtxLU.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, Diagonal_data, SparseGridColumn::FindExistingBlockIndex(), IntArrayList::Items, LoadZeros(), long(), SparseMatrixF::neq, SparseGridMtx::node_order, SparseGridMtx::nonzeros, Ordering::perm, and Rows_data.

Referenced by SparseGridMtxLU().

void LoadZeros (  )  [virtual]

Implements ILargeMatrix.

Definition at line 81 of file SparseGridMtxLU.cpp.

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

Referenced by LoadMatrixNumbers().

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

Reimplemented from SparseGridMtx.

Definition at line 236 of file SparseGridMtxLU.cpp.

void SchurComplementFactorization ( int  fixed_blocks  )  [virtual]

Implements SparseGridMtx.

Definition at line 358 of file SparseGridMtxLU.cpp.

References MathTracer::act_block, SparseGridMtx::block_size, SparseGridMtx::block_storage, SparseGridMtx::BlockArith, MathTracer::break_flag, SparseGridColumn::column_start_idx, SparseGridMtx::Columns, Columns_data, SparseGridMtx::ComputeBlocks(), Diagonal_data, TraceableMatrix::eMT, SparseGridColumn::Entries, SparseGridColumn::IndexesUfa, IntArrayList::Items, DenseMatrixArithmetics::LU_Decomposition(), memset(), SparseGridMtx::n_blocks, Rows_data, DenseMatrixArithmetics::SubATBproduct(), DenseMatrixArithmetics::ULT_BlockSolve(), and DenseMatrixArithmetics::zero_pivots.

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

Implements SparseGridMtx.

Definition at line 468 of file SparseGridMtxLU.cpp.

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

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

Implements SparseGridMtx.

Definition at line 593 of file SparseGridMtxLU.cpp.

References SolveLU().

void SolveLU ( double *  x,
long  fixed_blocks = 0 
)

Definition at line 537 of file SparseGridMtxLU.cpp.

References BackSubstU(), and ForwardSubstL().

Referenced by Solve(), SolveA11(), and SolveLV().

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

Implements SparseGridMtx.

Definition at line 475 of file SparseGridMtxLU.cpp.

References LargeVectorAttach::DataPtr(), LargeVectorAttach::Initialize(), SparseGridMtx::n, and SolveLU().

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

Implements SparseGridMtx.

Definition at line 610 of file SparseGridMtxLU.cpp.

References BackSubstU(), and SubMultU12().

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

Implements SparseGridMtx.

Definition at line 601 of file SparseGridMtxLU.cpp.

References ForwardSubstL(), and SubMultL21().

void SubMultL21 ( double *  px,
double *  py,
long  fixed_blocks 
)

y -= L12 * x

Definition at line 569 of file SparseGridMtxLU.cpp.

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

Referenced by Sub_A21_A11inv().

void SubMultU12 ( double *  px,
double *  py,
long  fixed_blocks 
)

y -= U12 * x

Definition at line 544 of file SparseGridMtxLU.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 WriteCondensedMatrixA22 ( double *  a,
Ordering *  mcn,
IntArrayList *  lncn 
) [virtual]

Implements SparseGridMtx.

Definition at line 617 of file SparseGridMtxLU.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 SparseGridMtxLU.h.

Referenced by AlocateMemoryByPattern(), BackSubstU(), ElementAt(), Factorize(), GetValue(), LoadMatrixNumbers(), LoadZeros(), SchurComplementFactorization(), SubMultU12(), and ~SparseGridMtxLU().

double* Diagonal_data

Definition at line 31 of file SparseGridMtxLU.h.

Referenced by AlocateMemoryByPattern(), BackSubstU(), ElementAt(), Factorize(), GetValue(), LoadMatrixNumbers(), LoadZeros(), SchurComplementFactorization(), and ~SparseGridMtxLU().

double* Rows_data

Definition at line 30 of file SparseGridMtxLU.h.

Referenced by AlocateMemoryByPattern(), ElementAt(), Factorize(), ForwardSubstL(), GetValue(), LoadMatrixNumbers(), LoadZeros(), SchurComplementFactorization(), SubMultL21(), and ~SparseGridMtxLU().

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