Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType > Class Template Reference

#include <skyline_lu_factorization_solver.h>

Collaboration diagram for Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >:

Public Types
typedef TSparseSpaceType::MatrixType	SparseMatrixType
typedef TSparseSpaceType::VectorType	VectorType
typedef TDenseSpaceType::MatrixType	DenseMatrixType
typedef std::size_t	IndexType

Public Member Functions
void	clear ()
void	copyFromCSRMatrix (SparseMatrixType &A)
void	factorize ()
void	backForwardSolve (int vector_size, const VectorType &b, VectorType &x)
	LUSkylineFactorization ()
	~LUSkylineFactorization ()

Public Attributes
int	size
int *	rowIndex
int *	perm
double *	entriesL
double *	entriesD
double *	entriesU

Member Typedef Documentation

DenseMatrixType

template<class TSparseSpaceType , class TDenseSpaceType >

typedef TDenseSpaceType::MatrixType Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::DenseMatrixType

IndexType

template<class TSparseSpaceType , class TDenseSpaceType >

typedef std::size_t Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::IndexType

SparseMatrixType

template<class TSparseSpaceType , class TDenseSpaceType >

typedef TSparseSpaceType::MatrixType Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::SparseMatrixType

VectorType

template<class TSparseSpaceType , class TDenseSpaceType >

typedef TSparseSpaceType::VectorType Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::VectorType

Constructor & Destructor Documentation

LUSkylineFactorization()

template<class TSparseSpaceType , class TDenseSpaceType >

Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::LUSkylineFactorization ( )

inline

~LUSkylineFactorization()

template<class TSparseSpaceType , class TDenseSpaceType >

Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::~LUSkylineFactorization ( )

inline

Member Function Documentation

backForwardSolve()

template<class TSparseSpaceType , class TDenseSpaceType >

void Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::backForwardSolve ( int  vector_size, const VectorType &  b, VectorType &  x  )

inline

clear()

template<class TSparseSpaceType , class TDenseSpaceType >

void Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::clear ( )

inline

copyFromCSRMatrix()

template<class TSparseSpaceType , class TDenseSpaceType >

void Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::copyFromCSRMatrix ( SparseMatrixType &  A )

inline

factorize()

template<class TSparseSpaceType , class TDenseSpaceType >

void Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::factorize ( )

inline

Perform and in-place LU factorization of a skyline matrix by Crout's algorithm. The diagonal of U contains the 1's. The equivalent MATLAB code for a full matrix would be: for k=1:n-1 A(1,k+1)=A(1,k+1)/A(1,1); for i=2:k sum=A(i,k+1); for j=1:i-1; sum=sum-A(i,j)*A(j,k+1); end; A(i,k+1)=sum/A(i,i); end for i=2:k sum=A(k+1,i); for j=1:i-1; sum=sum-A(j,i)*A(k+1,j); end; A(k+1,i)=sum; end sum=A(k+1,k+1); for i=1:k; sum=sum-A(k+1,i)*A(i,k+1); end; A(k+1,k+1)=sum; end

Member Data Documentation

entriesD

template<class TSparseSpaceType , class TDenseSpaceType >

double* Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::entriesD

entriesL

template<class TSparseSpaceType , class TDenseSpaceType >

double* Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::entriesL

entriesU

template<class TSparseSpaceType , class TDenseSpaceType >

double* Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::entriesU

perm

template<class TSparseSpaceType , class TDenseSpaceType >

int* Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::perm

rowIndex

template<class TSparseSpaceType , class TDenseSpaceType >

int* Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::rowIndex

size

template<class TSparseSpaceType , class TDenseSpaceType >

int Kratos::LUSkylineFactorization< TSparseSpaceType, TDenseSpaceType >::size

---

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

• /home/runner/work/Documentation/Documentation/master/kratos/linear_solvers/skyline_lu_factorization_solver.h