Class to perform the LU decomposition on a symmetric matrix. More...
Public Member Functions | |
| ClassName ("LUscalarMatrix") | |
| LUscalarMatrix () | |
| Construct null. More... | |
| LUscalarMatrix (const label n) | |
| Construct given number of rows/columns. More... | |
| LUscalarMatrix (const scalarSquareMatrix &M) | |
| Construct from and perform LU decomposition of the matrix M. More... | |
| LUscalarMatrix (const lduMatrix &, const FieldField< Field, scalar > &interfaceCoeffs, const lduInterfaceFieldPtrsList &interfaces) | |
| Construct from lduMatrix and perform LU decomposition. More... | |
| void | decompose () |
| Perform the LU decomposition of the matrix. More... | |
| void | decompose (const scalarSquareMatrix &M) |
| Perform the LU decomposition of the matrix M. More... | |
| template<class Type > | |
| void | solve (Field< Type > &x, const Field< Type > &source) const |
| Solve the linear system with the given source. More... | |
| template<class Type > | |
| tmp< Field< Type > > | solve (const Field< Type > &source) const |
| Solve the linear system with the given source. More... | |
| void | inv (scalarSquareMatrix &M) const |
| Set M to the inverse of this square matrix. More... | |
| template<class Type > | |
| Foam::tmp< Foam::Field< Type > > | solve (const Field< Type > &source) const |
 Public Member Functions inherited from SquareMatrix< scalar > | |
| SquareMatrix () | |
| Null constructor. More... | |
| SquareMatrix (const label n) | |
| Construct given number of rows/columns. More... | |
| SquareMatrix (const ConstMatrixBlock< MatrixType > &) | |
| Construct from a block of another matrix. More... | |
| SquareMatrix (const MatrixBlock< MatrixType > &) | |
| Construct from a block of another matrix. More... | |
| SquareMatrix (const label n, const zero) | |
| Construct given number of rows/columns. More... | |
| SquareMatrix (const label m, const label n, const zero) | |
| Construct given number of rows/columns (checked to be equal) More... | |
| SquareMatrix (const label n, const Identity< scalar >) | |
| Construct given number of rows/columns. More... | |
| SquareMatrix (const label n, const scalar &) | |
| Construct with given number of rows/columns. More... | |
| SquareMatrix (const label n, InputIterator first, InputIterator last) | |
| Construct with given number of rows/columns. More... | |
| SquareMatrix (const label n, std::initializer_list< scalar >) | |
| Construct with given number of rows/columns and initialiser list. More... | |
| SquareMatrix (std::initializer_list< scalar >) | |
| Construct from an initialiser list. More... | |
| SquareMatrix (std::initializer_list< std::initializer_list< scalar >>) | |
| Construct from initialiser list list. More... | |
| SquareMatrix (const RectangularMatrix< scalar > &) | |
| Construct as copy of a RectangularMatrix. More... | |
| SquareMatrix (Istream &) | |
| Construct from Istream. More... | |
| autoPtr< SquareMatrix< scalar > > | clone () const |
| Clone. More... | |
| void | setSize (const label m) |
| Resize the matrix preserving the elements. More... | |
| void | shallowResize (const label m) |
| Resize the matrix without reallocating storage (unsafe) More... | |
| void | operator= (const zero) |
| Assignment of all elements to zero. More... | |
| void | operator= (const Identity< scalar >) |
| Assignment elements to the. More... | |
| Public Member Functions inherited from Matrix< Form, Type > | |
| Matrix () | |
| Null constructor. More... | |
| Matrix (const label m, const label n) | |
| Construct given number of rows and columns. More... | |
| Matrix (const label m, const label n, const zero) | |
| Construct with given number of rows and columns. More... | |
| Matrix (const label m, const label n, const Type &) | |
| Construct with given number of rows and columns. More... | |
| template<class InputIterator > | |
| Matrix (const label m, const label n, InputIterator first, InputIterator last) | |
| Construct with given number of rows and columns. More... | |
| Matrix (const label m, const label n, std::initializer_list< Type >) | |
| Construct with given number of rows and columns and initialiser list. More... | |
| Matrix (std::initializer_list< std::initializer_list< Type >>) | |
| Construct from initialiser list list. More... | |
| Matrix (const mType &) | |
| Copy constructor. More... | |
| template<class Form2 > | |
| Matrix (const Matrix< Form2, Type > &) | |
| Copy constructor from matrix of a different form. More... | |
| template<class MatrixType > | |
| Matrix (const ConstMatrixBlock< MatrixType > &) | |
| Construct from a block of another matrix. More... | |
| template<class MatrixType > | |
| Matrix (const MatrixBlock< MatrixType > &) | |
| Construct from a block of another matrix. More... | |
| template<class MSForm , direction Mrows, direction Ncols> | |
| Matrix (const MatrixSpace< MSForm, Type, Mrows, Ncols > &) | |
| Matrix (Istream &) | |
| Construct from Istream. More... | |
| autoPtr< mType > | clone () const |
| Clone. More... | |
| ~Matrix () | |
| Destructor. More... | |
| label | m () const |
| Return the number of rows. More... | |
| label | n () const |
| Return the number of columns. More... | |
| label | size () const |
| Return the number of elements in matrix (m*n) More... | |
| const Type * | v () const |
| Return element vector of the constant Matrix. More... | |
| Type * | v () |
| Return element vector of the Matrix. More... | |
| ConstMatrixBlock< mType > | block (const label m, const label n, const label mStart, const label nStart) const |
| template<class VectorSpace > | |
| ConstMatrixBlock< mType > | block (const label mStart, const label nStart) const |
| ConstMatrixBlock< mType > | col (const label m, const label rowStart) const |
| ConstMatrixBlock< mType > | col (const label m, const label mStart, const label nStart) const |
| MatrixBlock< mType > | block (const label m, const label n, const label mStart, const label nStart) |
| template<class VectorSpace > | |
| MatrixBlock< mType > | block (const label mStart, const label nStart) |
| MatrixBlock< mType > | col (const label m, const label rowStart) |
| MatrixBlock< mType > | col (const label m, const label mStart, const label nStart) |
| void | checki (const label i) const |
| Check index i is within valid range (0 ... m-1). More... | |
| void | checkj (const label j) const |
| Check index j is within valid range (0 ... n-1). More... | |
| void | clear () |
| Clear the Matrix, i.e. set sizes to zero. More... | |
| void | transfer (mType &) |
| Transfer the contents of the argument Matrix into this Matrix. More... | |
| void | setSize (const label m, const label n) |
| Resize the matrix preserving the elements. More... | |
| void | shallowResize (const label m, const label n) |
| Resize the matrix without reallocating storage (unsafe) More... | |
| Form | T () const |
| Return the transpose of the matrix. More... | |
| Type * | operator[] (const label) |
| Return subscript-checked row of Matrix. More... | |
| const Type * | operator[] (const label) const |
| Return subscript-checked row of constant Matrix. More... | |
| const Type & | operator() (const label i, const label j) const |
| (i, j) const element access operator More... | |
| Type & | operator() (const label i, const label j) |
| (i, j) element access operator More... | |
| void | operator= (const mType &) |
| Assignment operator. Takes linear time. More... | |
| template<class MatrixType > | |
| void | operator= (const ConstMatrixBlock< MatrixType > &) |
| Assignment to a block of another matrix. More... | |
| template<class MatrixType > | |
| void | operator= (const MatrixBlock< MatrixType > &) |
| Assignment to a block of another matrix. More... | |
| void | operator= (const zero) |
| Assignment of all elements to zero. More... | |
| void | operator= (const Type &) |
| Assignment of all elements to the given value. More... | |
| template<class VectorSpace > | |
| Foam::ConstMatrixBlock< Foam::Matrix< Form, Type > > | block (const label mStart, const label nStart) const |
| template<class VectorSpace > | |
| Foam::MatrixBlock< Foam::Matrix< Form, Type > > | block (const label mStart, const label nStart) |
Additional Inherited Members | |
| Public Types inherited from Matrix< Form, Type > | |
| typedef Matrix< Form, Type > | mType |
| Matrix type. More... | |
| typedef Type | cmptType |
| Component type. More... | |
| Static Public Member Functions inherited from SquareMatrix< scalar > | |
| static word | typeName () |
| Return the instantiated type name. More... | |
| Static Public Member Functions inherited from Matrix< Form, Type > | |
| static const mType & | null () |
| Return a null Matrix. More... | |
Class to perform the LU decomposition on a symmetric matrix.
Definition at line 54 of file LUscalarMatrix.H.
| LUscalarMatrix | ( | ) |
Construct null.
Definition at line 42 of file LUscalarMatrix.C.
| LUscalarMatrix | ( | const label | n | ) |
Construct given number of rows/columns.
Definition at line 48 of file LUscalarMatrix.C.
| LUscalarMatrix | ( | const scalarSquareMatrix & | M | ) |
Construct from and perform LU decomposition of the matrix M.
Definition at line 56 of file LUscalarMatrix.C.
References Foam::LUDecompose().
| LUscalarMatrix | ( | const lduMatrix & | ldum, |
| const FieldField< Field, scalar > & | interfaceCoeffs, | ||
| const lduInterfaceFieldPtrsList & | interfaces | ||
| ) |
Construct from lduMatrix and perform LU decomposition.
Definition at line 66 of file LUscalarMatrix.C.
References Foam::endl(), UPstream::firstSlave(), forAll, UPstream::lastSlave(), lduMatrix::lduAddr(), Foam::LUDecompose(), Matrix< Form, Type >::m(), Foam::mag(), UPstream::master(), UPstream::masterNo(), UPstream::msgType(), Matrix< Form, Type >::n(), UPstream::nProcs(), Matrix< Form, Type >::operator[](), UPstream::parRun(), Foam::Pout, UPstream::scheduled, PtrList< T >::set(), List< T >::setSize(), UPtrList< T >::size(), lduAddressing::size(), and Matrix< Form, Type >::transfer().
| ClassName | ( | "LUscalarMatrix" | ) |
| void decompose | ( | ) |
Perform the LU decomposition of the matrix.
Definition at line 415 of file LUscalarMatrix.C.
References Foam::LUDecompose().
| void decompose | ( | const scalarSquareMatrix & | M | ) |
Perform the LU decomposition of the matrix M.
Definition at line 422 of file LUscalarMatrix.C.
References Foam::LUDecompose(), M, and SquareMatrix< scalar >::operator=().
Solve the linear system with the given source.
and returning the solution in the Field argument x. This function may be called with the same field for x and source.
Definition at line 32 of file LUscalarMatrixTemplates.C.
References UPstream::firstSlave(), UPstream::lastSlave(), Foam::LUBacksubstitute(), Matrix< Form, Type >::m(), UPstream::master(), UPstream::masterNo(), UPstream::msgType(), UPstream::parRun(), UIPstream::read(), UPstream::scheduled, UOPstream::write(), and x.
Solve the linear system with the given source.
returning the solution
| void inv | ( | scalarSquareMatrix & | M | ) | const |
Set M to the inverse of this square matrix.
Definition at line 430 of file LUscalarMatrix.C.
References Foam::LUBacksubstitute(), M, and Foam::Zero.
| Foam::tmp<Foam::Field<Type> > solve | ( | const Field< Type > & | source | ) | const |
Definition at line 142 of file LUscalarMatrixTemplates.C.
References tmp< T >::ref(), Foam::solve(), and x.
1.9.1 
