Interface for a collection of mutable vectors (multi-vector, matrix). More...

#include <AbstractLinAlgPack_MultiVectorMutable.hpp>

Inheritance diagram for AbstractLinAlgPack::MultiVectorMutable:

Public Types
typedef Teuchos::RCP < VectorMutable >	vec_mut_ptr_t

typedef Teuchos::RCP < MultiVectorMutable >	multi_vec_mut_ptr_t

Public Types inherited from AbstractLinAlgPack::MultiVector
enum

typedef int	access_by_t

typedef Teuchos::RCP< const Vector >	vec_ptr_t

typedef Teuchos::RCP< const MultiVector >	multi_vec_ptr_t

Public Types inherited from AbstractLinAlgPack::MatrixOp
enum	EMatNormType { MAT_NORM_INF, MAT_NORM_2, MAT_NORM_1, MAT_NORM_FORB }
	Type of matrix norm. More...

Clone
virtual multi_vec_mut_ptr_t	mv_clone ()
	Clone the non-const multi-vector object. More...

Provide mutable row, column and/or diagonal access
virtual vec_mut_ptr_t	col (index_type j)=0
	Get a mutable column vector. More...

virtual vec_mut_ptr_t	row (index_type i)=0
	Get a mutable row vector. More...

virtual vec_mut_ptr_t	diag (int k)=0
	Get a mutable diagonal vector. More...

Sub-view methods
virtual multi_vec_mut_ptr_t	mv_sub_view (const Range1D &row_rng, const Range1D &col_rng)
	Returns a mutable sub-view of the multi vector. More...

multi_vec_mut_ptr_t	mv_sub_view (const index_type &rl, const index_type &ru, const index_type &cl, const index_type &cu)
	Inlined implementation calls `this->mv_sub_view(Range1D(rl,ru),Range1D(cl,cu))`. More...

Overridden from MatrixOp
mat_mut_ptr_t	clone ()

void	zero_out ()

void	Mt_S (value_type alpha)

MatrixOp &	operator= (const MatrixOp &mwo_rhs)

bool	Mp_StM (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs) const

bool	Mp_StM (value_type alpha, const MatrixOp &M_rhs, BLAS_Cpp::Transp trans_rhs)

Overridden from MultiVector
multi_vec_ptr_t	mv_clone () const

vec_ptr_t	col (index_type j) const

vec_ptr_t	row (index_type i) const

vec_ptr_t	diag (int k) const

multi_vec_ptr_t	mv_sub_view (const Range1D &row_rng, const Range1D &col_rng) const

Additional Inherited Members
Public Member Functions inherited from AbstractLinAlgPack::MultiVector
virtual access_by_t	access_by () const =0
	Return a bit field for the types of access that are the most convenient. More...

multi_vec_ptr_t	mv_sub_view (const index_type &rl, const index_type &ru, const index_type &cl, const index_type &cu) const
	Inlined implementation calls `this->mv_sub_view(Range1D(rl,ru),Range1D(cl,cu))`. More...

mat_ptr_t	clone () const
	Returns `this->mv_clone().` More...

mat_ptr_t	sub_view (const Range1D &row_rng, const Range1D &col_rng) const
	Returns `this->mv_sub_view(row_rng,col_rng)` casted to a MatrixOp. More...

bool	Mp_StMtM (MatrixOp *mwo_lhs, value_type alpha, const MatrixOp &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, BLAS_Cpp::Transp trans_rhs2, value_type beta) const
	Provides a specialized implementation for `mwo_rhs1` of type `MatrixSymDiag`. More...

bool	Mp_StMtM (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const MatrixOp &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta) const
	Provides a specialized implementation for `mwo_rhs2` of type `MatrixSymDiag`. More...

Public Member Functions inherited from AbstractLinAlgPack::MatrixOp
virtual std::ostream &	output (std::ostream &out) const
	Virtual output function. More...

const MatNorm	calc_norm (EMatNormType requested_norm_type=MAT_NORM_1, bool allow_replacement=false) const
	Compute a norm of this matrix. More...

mat_ptr_t	sub_view (const index_type &rl, const index_type &ru, const index_type &cl, const index_type &cu) const
	Inlined implementation calls `this->sub_view(Range1D(rl,ru),Range1D(cl,cu))`. More...

virtual mat_ptr_t	perm_view (const Permutation P_row, const index_type row_part[], int num_row_part, const Permutation P_col, const index_type col_part[], int num_col_part) const
	Create a permuted view: `M_perm = P_row' * M * P_col`. More...

virtual mat_ptr_t	perm_view_update (const Permutation P_row, const index_type row_part[], int num_row_part, const Permutation P_col, const index_type col_part[], int num_col_part, const mat_ptr_t &perm_view) const
	Reinitialize a permuted view: `M_perm = P_row' * M * P_col`. More...

Public Member Functions inherited from AbstractLinAlgPack::MatrixBase
virtual	~MatrixBase ()
	Virtual destructor. More...

virtual const VectorSpace &	space_cols () const =0
	Vector space for vectors that are compatible with the columns of the matrix. More...

virtual const VectorSpace &	space_rows () const =0
	Vector space for vectors that are compatible with the rows of the matrix. More...

virtual size_type	rows () const
	Return the number of rows in the matrix. More...

virtual size_type	cols () const
	Return the number of columns in the matrix. More...

virtual size_type	nz () const
	Return the number of nonzero elements in the matrix. More...

Protected Member Functions inherited from AbstractLinAlgPack::MultiVector
virtual void	apply_op (EApplyBy apply_by, const RTOpPack::RTOp &primary_op, const size_t num_multi_vecs, const MultiVector multi_vecs[], const size_t num_targ_multi_vecs, MultiVectorMutable targ_multi_vecs[], RTOpPack::ReductTarget *reduct_objs[], const index_type primary_first_ele, const index_type primary_sub_dim, const index_type primary_global_offset, const index_type secondary_first_ele, const index_type secondary_sub_dim) const
	Apply a reduction/transformation operator row by row, or column by column and return an array of the reduction objects. More...

virtual void	apply_op (EApplyBy apply_by, const RTOpPack::RTOp &primary_op, const RTOpPack::RTOp &secondary_op, const size_t num_multi_vecs, const MultiVector multi_vecs[], const size_t num_targ_multi_vecs, MultiVectorMutable targ_multi_vecs[], RTOpPack::ReductTarget *reduct_obj, const index_type primary_first_ele, const index_type primary_sub_dim, const index_type primary_global_offset, const index_type secondary_first_ele, const index_type secondary_sub_dim) const
	Apply a reduction/transformation operator row by row, or column by column and reduce the intermediate reduction objects into one reduction object. More...

Protected Member Functions inherited from AbstractLinAlgPack::MatrixOp
virtual bool	Mp_StMtP (MatrixOp *mwo_lhs, value_type alpha, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans) const
	mwo_lhs += alpha * op(M_rhs) * op(P_rhs). More...

virtual bool	Mp_StMtP (value_type alpha, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans)
	M_lhs += alpha * op(mwo_rhs) * op(P_rhs). More...

virtual bool	Mp_StPtM (MatrixOp *mwo_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, BLAS_Cpp::Transp M_trans) const
	mwo_lhs += alpha * op(P_rhs) * op(M_rhs). More...

virtual bool	Mp_StPtM (value_type alpha, const GenPermMatrixSlice &P_rhs, BLAS_Cpp::Transp P_rhs_trans, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans)
	M_lhs += alpha * op(P_rhs) * op(mwo_rhs). More...

virtual bool	Mp_StPtMtP (MatrixOp *mwo_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs2, BLAS_Cpp::Transp P_rhs2_trans) const
	mwo_lhs += alpha * op(P_rhs1) * op(M_rhs) * op(P_rhs2). More...

virtual bool	Mp_StPtMtP (value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, const GenPermMatrixSlice &P_rhs2, BLAS_Cpp::Transp P_rhs2_trans)
	M_lhs += alpha * op(P_rhs1) * op(mwo_rhs) * op(P_rhs2). More...

virtual void	Vp_StMtV (VectorMutable *v_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const Vector &v_rhs2, value_type beta) const =0
	v_lhs = alpha * op(M_rhs1) * v_rhs2 + beta * v_lhs (BLAS xGEMV) More...

virtual void	Vp_StMtV (VectorMutable *v_lhs, value_type alpha, BLAS_Cpp::Transp trans_rhs1, const SpVectorSlice &sv_rhs2, value_type beta) const
	v_lhs = alpha * op(M_rhs1) * sv_rhs2 + beta * v_lhs (BLAS xGEMV) More...

virtual void	Vp_StPtMtV (VectorMutable *v_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const Vector &v_rhs3, value_type beta) const
	v_lhs = alpha * op(P_rhs1) * op(M_rhs2) * v_rhs3 + beta * v_rhs More...

virtual void	Vp_StPtMtV (VectorMutable *v_lhs, value_type alpha, const GenPermMatrixSlice &P_rhs1, BLAS_Cpp::Transp P_rhs1_trans, BLAS_Cpp::Transp M_rhs2_trans, const SpVectorSlice &sv_rhs3, value_type beta) const
	v_lhs = alpha * op(P_rhs1) * op(M_rhs2) * sv_rhs3 + beta * v_rhs More...

virtual value_type	transVtMtV (const Vector &v_rhs1, BLAS_Cpp::Transp trans_rhs2, const Vector &v_rhs3) const
	result = v_rhs1' * op(M_rhs2) * v_rhs3 More...

virtual value_type	transVtMtV (const SpVectorSlice &sv_rhs1, BLAS_Cpp::Transp trans_rhs2, const SpVectorSlice &sv_rhs3) const
	result = sv_rhs1' * op(M_rhs2) * sv_rhs3 More...

virtual void	syr2k (BLAS_Cpp::Transp M_trans, value_type alpha, const GenPermMatrixSlice &P1, BLAS_Cpp::Transp P1_trans, const GenPermMatrixSlice &P2, BLAS_Cpp::Transp P2_trans, value_type beta, MatrixSymOp *symwo_lhs) const
	Perform a specialized rank-2k update of a dense symmetric matrix of the form: More...

virtual bool	Mp_StMtM (value_type alpha, const MatrixOp &mwo_rhs1, BLAS_Cpp::Transp trans_rhs1, const MatrixOp &mwo_rhs2, BLAS_Cpp::Transp trans_rhs2, value_type beta)
	M_lhs = alpha * op(mwo_rhs1) * op(mwo_rhs2) + beta * mwo_lhs (left) (xGEMM) More...

virtual bool	syrk (BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta, MatrixSymOp *sym_lhs) const
	Perform a rank-k update of a symmetric matrix of the form: More...

virtual bool	syrk (const MatrixOp &mwo_rhs, BLAS_Cpp::Transp M_trans, value_type alpha, value_type beta)
	Perform a rank-k update of a symmetric matrix of the form: More...

Detailed Description

Interface for a collection of mutable vectors (multi-vector, matrix).

This interface extends the MutiVector interface an allows mutable access to the constituent vectors.

These vectors allow the modification of the matrix row by row, column by column, and/or diagonal by diagonal. Each of the views is transient and should be used and discarded quickly.

Note that the underlying matrix is only guaranteed to be modified after the smart reference counted pointer returned from these methods is destoryed. For example, consider the following code:

void f( MultiVectorMutable* M, index_type i )
{
 MultiVectorMutable::vec_mut_ptr_t
     row_i =M->row(i);
  row_i = 0.0;
 // The underlying matrix may not be modified at this point.
 row_i = NULL;
 // Now the underlying matrix is guaranteed to be modified and
 // we can assume this in the following code.
 ...
}

Default implementations of the const access methods row() col() and diag() from MultiVector call the non-const methods defined here and cast the pointers.

Many of the default implementations of the linear algebra operations in MatrixOp and the other matrix interfaces rely on the left hand side matrix objects supporting the MultiVectorMutable interface.

Definition at line 82 of file AbstractLinAlgPack_MultiVectorMutable.hpp.

Member Typedef Documentation

typedef Teuchos::RCP<VectorMutable> AbstractLinAlgPack::MultiVectorMutable::vec_mut_ptr_t

Definition at line 93 of file AbstractLinAlgPack_MultiVectorMutable.hpp.

typedef Teuchos::RCP<MultiVectorMutable> AbstractLinAlgPack::MultiVectorMutable::multi_vec_mut_ptr_t

Definition at line 95 of file AbstractLinAlgPack_MultiVectorMutable.hpp.

Member Function Documentation

MultiVectorMutable::multi_vec_mut_ptr_t AbstractLinAlgPack::MultiVectorMutable::mv_clone ( )

virtual

Clone the non-const multi-vector object.

The default implementation creates a new multi-vector and then copies the values.

Definition at line 89 of file AbstractLinAlgPack_MultiVectorMutable.cpp.

virtual vec_mut_ptr_t AbstractLinAlgPack::MultiVectorMutable::col ( index_type j )

pure virtual

Get a mutable column vector.

Postconditions:

[this->access_by() & COL_ACCESS] return.get() != NULL
[return.get() != NULL] space_cols().is_compatible(return->space()) == true

ToDo: Finish documentation!

Implemented in AbstractLinAlgPack::MultiVectorMutableDense, and AbstractLinAlgPack::MultiVectorMutableCols.

virtual vec_mut_ptr_t AbstractLinAlgPack::MultiVectorMutable::row ( index_type i )

pure virtual

Get a mutable row vector.

Postconditions:

[this->access_by() & ROW_ACCESS] return.get() != NULL
[return.get() != NULL] space_rows().is_compatible(return->space()) == true

ToDo: Finish documentation!

Implemented in AbstractLinAlgPack::MultiVectorMutableDense, and AbstractLinAlgPack::MultiVectorMutableCols.

virtual vec_mut_ptr_t AbstractLinAlgPack::MultiVectorMutable::diag ( int k )

pure virtual

Get a mutable diagonal vector.

Postconditions:

[this->access_by() & DIAG_ACCESS] return.get() != NULL

ToDo: Finish documentation!

Implemented in AbstractLinAlgPack::MultiVectorMutableDense, and AbstractLinAlgPack::MultiVectorMutableCols.

MultiVectorMutable::multi_vec_mut_ptr_t AbstractLinAlgPack::MultiVectorMutable::mv_sub_view	(	const Range1D &	row_rng,
		const Range1D &	col_rng
	)

virtual

Returns a mutable sub-view of the multi vector.

ToDo: Finish documentation!

The default implementation returns a MultiVectorMutableSubView object for any valid arbitary sub-view.

Reimplemented in AbstractLinAlgPack::MultiVectorMutableDense, and AbstractLinAlgPack::MultiVectorMutableCols.

Definition at line 102 of file AbstractLinAlgPack_MultiVectorMutable.cpp.

MultiVectorMutable::multi_vec_mut_ptr_t AbstractLinAlgPack::MultiVectorMutable::mv_sub_view	(	const index_type &	rl,
		const index_type &	ru,
		const index_type &	cl,
		const index_type &	cu
	)