Include dependency graph for scalarMatrices.H:

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Namespaces
namespace	Foam
	Namespace for OpenFOAM.

Typedefs
typedef RectangularMatrix< scalar >	scalarRectangularMatrix
typedef SquareMatrix< scalar >	scalarSquareMatrix
typedef SymmetricSquareMatrix< scalar >	scalarSymmetricSquareMatrix
typedef DiagonalMatrix< scalar >	scalarDiagonalMatrix

Functions
template<class Type>
void	solve (scalarSquareMatrix &matrix, List< Type > &source)
	Solve the matrix using Gaussian elimination with pivoting, returning the solution in the source.
template<class Type>
void	solve (List< Type > &psi, const scalarSquareMatrix &matrix, const List< Type > &source)
	Solve the matrix using Gaussian elimination with pivoting and return the solution.
void	LUDecompose (scalarSquareMatrix &matrix, labelList &pivotIndices)
	LU decompose the matrix with pivoting.
void	LUDecompose (scalarSquareMatrix &matrix, labelList &pivotIndices, label &sign)
	LU decompose the matrix with pivoting.
void	LUDecompose (scalarSymmetricSquareMatrix &matrix)
	LU decompose the matrix into a lower (L) and upper (U) part. U = L.T().
template<class Type>
void	LUBacksubstitute (const scalarSquareMatrix &luMmatrix, const labelList &pivotIndices, List< Type > &source)
	LU back-substitution with given source, returning the solution in the source.
template<class Type>
void	LUBacksubstitute (const scalarSymmetricSquareMatrix &luMmatrix, List< Type > &source)
	LU back-substitution with given source, returning the solution in the source. Specialised for symmetric square matrices that have been decomposed into LU where U = L.T() as pivoting is not required.
template<class Type>
void	LUsolve (scalarSquareMatrix &matrix, List< Type > &source)
	Solve the matrix using LU decomposition with pivoting returning the LU form of the matrix and the solution in the source.
template<class Type>
void	LUsolve (scalarSymmetricSquareMatrix &matrix, List< Type > &source)
	Solve the matrix using LU decomposition returning the LU form of the matrix and the solution in the source, where U = L.T().
template<class Form, class Type>
void	multiply (Matrix< Form, Type > &answer, const Matrix< Form, Type > &A, const Matrix< Form, Type > &B)
void	multiply (scalarRectangularMatrix &answer, const scalarRectangularMatrix &A, const scalarRectangularMatrix &B, const scalarRectangularMatrix &C)
void	multiply (scalarRectangularMatrix &answer, const scalarRectangularMatrix &A, const DiagonalMatrix< scalar > &B, const scalarRectangularMatrix &C)
void	multiply (scalarSquareMatrix &answer, const scalarSquareMatrix &A, const DiagonalMatrix< scalar > &B, const scalarSquareMatrix &C)
scalarRectangularMatrix	SVDinv (const scalarRectangularMatrix &A, scalar minCondition=0)
	Return the inverse of matrix A using SVD.

Detailed Description

Original source file scalarMatrices.H

Definition in file scalarMatrices.H.

Namespaces

Typedefs

Functions

Detailed Description