VNLIterativeSparseSolverTraits< T > Class Template Reference

#include <VNLIterativeSparseSolverTraits.h>

Detailed Description

template<typename T = double>
class VNLIterativeSparseSolverTraits< T >

Generic interface for iterative sparse linear solver.

This generic interface (common to several sparse solvers), allow to interchange solver solutions when dealing with sparse linear system. See itk::ParameterizationQuadEdgeMeshFilter for reference.

It internally uses the VNL library to represent and deal with vectors (vnl_vector) and sparse matrices (vnl_sparse_matrix). The solver by itself is an iterative one see vnl_sparse_matrix_linear_system for more details on the method used.

See also

VNLSparseLUSolverTraits

Examples

SphinxExamples/src/Filtering/QuadEdgeMeshFiltering/ComputePlanarParameterizationOfAMesh/Code.cxx.

Definition at line 43 of file VNLIterativeSparseSolverTraits.h.

Public Types
using	MatrixType = vnl_sparse_matrix< ValueType >
using	SolverType = vnl_lsqr
using	ValueType = T
using	VectorType = vnl_vector< ValueType >

Static Public Member Functions
static void	AddToMatrix (MatrixType &iA, const unsigned int &iR, const unsigned int &iC, const ValueType &iV)
static void	FillMatrix (MatrixType &iA, const unsigned int &iR, const unsigned int &iC, const ValueType &iV)
static MatrixType	InitializeSparseMatrix (const unsigned int &iN)
static MatrixType	InitializeSparseMatrix (const unsigned int &iRow, const unsigned int &iCol)
static VectorType	InitializeVector (const unsigned int &iN)
static bool	IsDirectSolver ()
static bool	Solve (const MatrixType &iA, const VectorType &iB, const long &iNbIter, VectorType &oX)
static bool	Solve (const MatrixType &iA, const VectorType &iB, VectorType &oX)
static bool	Solve (const MatrixType &iA, const VectorType &iBx, const VectorType &iBy, const VectorType &iBz, VectorType &oX, VectorType &oY, VectorType &oZ)
static bool	Solve (const MatrixType &iA, const VectorType &iBx, const VectorType &iBy, VectorType &oX, VectorType &oY)

Member Typedef Documentation

MatrixType

template<typename T = double>

using VNLIterativeSparseSolverTraits< T >::MatrixType = vnl_sparse_matrix<ValueType>

Definition at line 47 of file VNLIterativeSparseSolverTraits.h.

SolverType

template<typename T = double>

using VNLIterativeSparseSolverTraits< T >::SolverType = vnl_lsqr

Definition at line 49 of file VNLIterativeSparseSolverTraits.h.

ValueType

template<typename T = double>

using VNLIterativeSparseSolverTraits< T >::ValueType = T

Definition at line 46 of file VNLIterativeSparseSolverTraits.h.

VectorType

template<typename T = double>

using VNLIterativeSparseSolverTraits< T >::VectorType = vnl_vector<ValueType>

Definition at line 48 of file VNLIterativeSparseSolverTraits.h.

Member Function Documentation

AddToMatrix()

template<typename T = double>

static void VNLIterativeSparseSolverTraits< T >::AddToMatrix ( MatrixType &  iA, const unsigned int &  iR, const unsigned int &  iC, const ValueType &  iV  )

inlinestatic

iA[iR][iC] += iV

Definition at line 88 of file VNLIterativeSparseSolverTraits.h.

FillMatrix()

template<typename T = double>

static void VNLIterativeSparseSolverTraits< T >::FillMatrix ( MatrixType &  iA, const unsigned int &  iR, const unsigned int &  iC, const ValueType &  iV  )

inlinestatic

iA[iR][iC] = iV

Definition at line 81 of file VNLIterativeSparseSolverTraits.h.

InitializeSparseMatrix() [1/2]

template<typename T = double>

static MatrixType VNLIterativeSparseSolverTraits< T >::InitializeSparseMatrix ( const unsigned int &  iN )

inlinestatic

initialize a square sparse matrix of size iN x iN

Definition at line 60 of file VNLIterativeSparseSolverTraits.h.

InitializeSparseMatrix() [2/2]

template<typename T = double>

static MatrixType VNLIterativeSparseSolverTraits< T >::InitializeSparseMatrix ( const unsigned int &  iRow, const unsigned int &  iCol  )

inlinestatic

initialize a sparse matrix of size iRow x iCol

Definition at line 67 of file VNLIterativeSparseSolverTraits.h.

InitializeVector()

template<typename T = double>

static VectorType VNLIterativeSparseSolverTraits< T >::InitializeVector ( const unsigned int &  iN )

inlinestatic

initialize a vector of size iN

Definition at line 74 of file VNLIterativeSparseSolverTraits.h.

IsDirectSolver()

template<typename T = double>

static bool VNLIterativeSparseSolverTraits< T >::IsDirectSolver ( )

inlinestatic

Returns

false (it is not a direct solver, it is an iterative solver)

Definition at line 53 of file VNLIterativeSparseSolverTraits.h.

Solve() [1/4]

template<typename T = double>

static bool VNLIterativeSparseSolverTraits< T >::Solve ( const MatrixType &  iA, const VectorType &  iB, const long &  iNbIter, VectorType &  oX  )

inlinestatic

Solve the linear systems: \( iA \cdot oX = iBx \) in N iterations.

Definition at line 134 of file VNLIterativeSparseSolverTraits.h.

Solve() [2/4]

template<typename T = double>

static bool VNLIterativeSparseSolverTraits< T >::Solve ( const MatrixType &  iA, const VectorType &  iB, VectorType &  oX  )

inlinestatic

Solve the linear system \( iA \cdot oX = iB \).

Definition at line 95 of file VNLIterativeSparseSolverTraits.h.

Referenced by VNLIterativeSparseSolverTraits< T >::Solve().

Solve() [3/4]

template<typename T = double>

static bool VNLIterativeSparseSolverTraits< T >::Solve ( const MatrixType &  iA, const VectorType &  iBx, const VectorType &  iBy, const VectorType &  iBz, VectorType &  oX, VectorType &  oY, VectorType &  oZ  )

inlinestatic

Solve the linear systems: \( iA \cdot oX = iBx \), \( iA \cdot oY = iBy \), \( iA \cdot oZ = iBz \).

Definition at line 107 of file VNLIterativeSparseSolverTraits.h.

References VNLIterativeSparseSolverTraits< T >::Solve().

Solve() [4/4]

template<typename T = double>

static bool VNLIterativeSparseSolverTraits< T >::Solve ( const MatrixType &  iA, const VectorType &  iBx, const VectorType &  iBy, VectorType &  oX, VectorType &  oY  )

inlinestatic

Solve the linear systems: \( iA \cdot oX = iBx \), \( iA \cdot oY = iBy \).

Definition at line 124 of file VNLIterativeSparseSolverTraits.h.

References VNLIterativeSparseSolverTraits< T >::Solve().

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

• VNLIterativeSparseSolverTraits.h