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matrix_operations.hpp File Reference

Implementations of dense matrix related operations including matrix-vector products. More...

`#include "viennacl/forwards.h"`
`#include "viennacl/scalar.hpp"`
`#include "viennacl/vector.hpp"`
`#include "viennacl/vector_proxy.hpp"`
`#include "viennacl/tools/tools.hpp"`
`#include "viennacl/meta/enable_if.hpp"`
`#include "viennacl/meta/predicate.hpp"`
`#include "viennacl/meta/result_of.hpp"`
`#include "viennacl/traits/size.hpp"`
`#include "viennacl/traits/start.hpp"`
`#include "viennacl/traits/handle.hpp"`
`#include "viennacl/traits/stride.hpp"`
`#include "viennacl/linalg/host_based/matrix_operations.hpp"`

Go to the source code of this file.

## Namespaces

| viennacl
| Main namespace in ViennaCL. Holds all the basic types such as vector, matrix, etc. and defines operations upon them.
| viennacl::linalg
| Provides all linear algebra operations which are not covered by operator overloads.

## Macros

#define | VIENNACL_MAKE_BINARY_OP(OPNAME)
#define | VIENNACL_MAKE_UNARY_ELEMENT_OP(funcname)

## Functions

template<typename DestNumericT , typename SrcNumericT >
void | viennacl::linalg::convert (matrix_base< DestNumericT > &dest, matrix_base< SrcNumericT > const &src)
template<typename NumericT , typename SizeT , typename DistanceT >
void | viennacl::linalg::trans (const matrix_expression< const matrix_base< NumericT, SizeT, DistanceT >, const matrix_base< NumericT, SizeT, DistanceT >, op_trans > &proxy, matrix_base< NumericT > &temp_trans)
template<typename NumericT , typename ScalarType1 >
void | viennacl::linalg::am (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarType1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha)
template<typename NumericT , typename ScalarType1 , typename ScalarType2 >
void | viennacl::linalg::ambm (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarType1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, matrix_base< NumericT > const &mat3, ScalarType2 const &beta, vcl_size_t len_beta, bool reciprocal_beta, bool flip_sign_beta)
template<typename NumericT , typename ScalarType1 , typename ScalarType2 >
void | viennacl::linalg::ambm_m (matrix_base< NumericT > &mat1, matrix_base< NumericT > const &mat2, ScalarType1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, matrix_base< NumericT > const &mat3, ScalarType2 const &beta, vcl_size_t len_beta, bool reciprocal_beta, bool flip_sign_beta)
template<typename NumericT >
void | viennacl::linalg::matrix_assign (matrix_base< NumericT > &mat, NumericT s, bool clear=false)
template<typename NumericT >
void | viennacl::linalg::matrix_diagonal_assign (matrix_base< NumericT > &mat, NumericT s)
template<typename NumericT >
void | viennacl::linalg::matrix_diag_from_vector (const vector_base< NumericT > &v, int k, matrix_base< NumericT > &A)
| Dispatcher interface for A = diag(v, k) More...
template<typename NumericT >
void | viennacl::linalg::matrix_diag_to_vector (const matrix_base< NumericT > &A, int k, vector_base< NumericT > &v)
| Dispatcher interface for v = diag(A, k) More...
template<typename NumericT >
void | viennacl::linalg::matrix_row (const matrix_base< NumericT > &A, unsigned int i, vector_base< NumericT > &v)
template<typename NumericT >
void | viennacl::linalg::matrix_column (const matrix_base< NumericT > &A, unsigned int j, vector_base< NumericT > &v)
template<typename T >
void | viennacl::linalg::norm_frobenius_impl (matrix_base< T > const &A, scalar< T > &result)
| Computes the Frobenius norm of a matrix - dispatcher interface. More...
template<typename T >
void | viennacl::linalg::norm_frobenius_cpu (matrix_base< T > const &A, T &result)
| Computes the Frobenius norm of a vector with final reduction on the CPU. More...
template<typename NumericT >
void | viennacl::linalg::prod_impl (const matrix_base< NumericT > &mat, const vector_base< NumericT > &vec, vector_base< NumericT > &result)
| Carries out matrix-vector multiplication. More...
template<typename NumericT >
void | viennacl::linalg::prod_impl (const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &mat_trans, const vector_base< NumericT > &vec, vector_base< NumericT > &result)
| Carries out matrix-vector multiplication with a transposed matrix. More...
template<typename NumericT , typename ScalarType >
void | viennacl::linalg::prod_impl (const matrix_base< NumericT > &A, const matrix_base< NumericT > &B, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
| Carries out matrix-matrix multiplication. More...
template<typename NumericT , typename ScalarType >
void | viennacl::linalg::prod_impl (const viennacl::matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &A, const matrix_base< NumericT > &B, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
| Carries out matrix-matrix multiplication. More...
template<typename NumericT , typename ScalarType >
void | viennacl::linalg::prod_impl (const matrix_base< NumericT > &A, const viennacl::matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &B, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
| Carries out matrix-matrix multiplication. More...
template<typename NumericT , typename ScalarType >
void | viennacl::linalg::prod_impl (const viennacl::matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &A, const viennacl::matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans > &B, matrix_base< NumericT > &C, ScalarType alpha, ScalarType beta)
| Carries out matrix-matrix multiplication. More...
template<typename NumericT >
void | viennacl::linalg::row_sum_impl (const matrix_base< NumericT > &A, vector_base< NumericT > &result)
template<typename NumericT >
void | viennacl::linalg::column_sum_impl (const matrix_base< NumericT > &A, vector_base< NumericT > &result)
template<typename T , typename OP >
void | viennacl::linalg::element_op (matrix_base< T > &A, matrix_expression< const matrix_base< T >, const matrix_base< T >, OP > const &proxy)
| Implementation of the element-wise operation A = B .* C and A = B ./ C for matrices (using MATLAB syntax). Don't use this function directly, use element_prod() and element_div(). More...
template<typename NumericT >
viennacl::matrix_expression < const vector_base< NumericT > , const vector_base< NumericT > , op_prod > | viennacl::linalg::outer_prod (const vector_base< NumericT > &vec1, const vector_base< NumericT > &vec2)
| Returns a proxy class for the operation mat += vec1 * vec2^T, i.e. a rank 1 update. More...
template<typename NumericT , typename S1 >
void | viennacl::linalg::scaled_rank_1_update (matrix_base< NumericT > &mat1, S1 const &alpha, vcl_size_t len_alpha, bool reciprocal_alpha, bool flip_sign_alpha, const vector_base< NumericT > &vec1, const vector_base< NumericT > &vec2)
| The implementation of the operation mat += alpha * vec1 * vec2^T, i.e. a scaled rank 1 update. More...
template<typename NumericT , typename VectorType >
void | viennacl::linalg::bidiag_pack (matrix_base< NumericT > &A, VectorType &dh, VectorType &sh)
| This function stores the diagonal and the superdiagonal of a matrix in two vectors. More...
template<typename SCALARTYPE >
void | viennacl::linalg::copy_vec (matrix_base< SCALARTYPE > &A, vector_base< SCALARTYPE > &V, vcl_size_t row_start, vcl_size_t col_start, bool copy_col)
| This function copies a row or a column from a matrix to a vector. More...
template<typename NumericT >
void | viennacl::linalg::house_update_A_left (matrix_base< NumericT > &A, vector_base< NumericT > &D, vcl_size_t start)
| This function applies a householder transformation to a matrix. A <- P * A with a householder reflection P. More...
template<typename NumericT >
void | viennacl::linalg::house_update_A_right (matrix_base< NumericT > &A, vector_base< NumericT > &D)
| This function applies a householder transformation to a matrix: A <- A * P with a householder reflection P. More...
template<typename NumericT >
void | viennacl::linalg::house_update_QL (matrix_base< NumericT > &Q, vector_base< NumericT > &D, vcl_size_t A_size1)
| This function updates the matrix Q, which is needed for the computation of the eigenvectors. More...
template<typename NumericT >
void | viennacl::linalg::givens_next (matrix_base< NumericT > &Q, vector_base< NumericT > &tmp1, vector_base< NumericT > &tmp2, int l, int m)
| This function updates the matrix Q. It is part of the tql2 algorithm. More...
template<typename NumericT >
vector< NumericT > | viennacl::operator+= (vector_base< NumericT > &v1, const viennacl::vector_expression< const matrix_base< NumericT >, const vector_base< NumericT >, viennacl::op_prod > &proxy)
| Implementation of the operation v1 += A * v2, where A is a matrix. More...
template<typename NumericT >
vector< NumericT > | viennacl::operator-= (vector_base< NumericT > &v1, const viennacl::vector_expression< const matrix_base< NumericT >, const vector_base< NumericT >, viennacl::op_prod > &proxy)
| Implementation of the operation v1 -= A * v2, where A is a matrix. More...
template<typename NumericT >
viennacl::vector< NumericT > | viennacl::operator+ (const vector_base< NumericT > &v1, const vector_expression< const matrix_base< NumericT >, const vector_base< NumericT >, op_prod > &proxy)
| Implementation of the operation 'result = v1 + A * v2', where A is a matrix. More...
template<typename NumericT >
viennacl::vector< NumericT > | viennacl::operator- (const vector_base< NumericT > &v1, const vector_expression< const matrix_base< NumericT >, const vector_base< NumericT >, op_prod > &proxy)
| Implementation of the operation 'result = v1 - A * v2', where A is a matrix. More...
template<typename NumericT >
vector< NumericT > | viennacl::operator+= (vector_base< NumericT > &v1, const vector_expression< const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans >, const vector_base< NumericT >, op_prod > &proxy)
| Implementation of the operation v1 += A * v2, where A is a matrix. More...
template<typename NumericT >
vector< NumericT > | viennacl::operator-= (vector_base< NumericT > &v1, const vector_expression< const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans >, const vector_base< NumericT >, op_prod > &proxy)
| Implementation of the operation v1 -= A * v2, where A is a matrix. More...
template<typename NumericT >
vector< NumericT > | viennacl::operator+ (const vector_base< NumericT > &v1, const vector_expression< const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans >, const vector_base< NumericT >, op_prod > &proxy)
| Implementation of the operation 'result = v1 + A * v2', where A is a matrix. More...
template<typename NumericT >
vector< NumericT > | viennacl::operator- (const vector_base< NumericT > &v1, const vector_expression< const matrix_expression< const matrix_base< NumericT >, const matrix_base< NumericT >, op_trans >, const vector_base< NumericT >, op_prod > &proxy)
| Implementation of the operation 'result = v1 - A * v2', where A is a matrix. More...

## Detailed Description

Implementations of dense matrix related operations including matrix-vector products.

Definition in file matrix_operations.hpp.

## Macro Definition Documentation

#define VIENNACL_MAKE_BINARY_OP | ( |  | OPNAME | ) |

Definition at line 731 of file matrix_operations.hpp.

#define VIENNACL_MAKE_UNARY_ELEMENT_OP | ( |  | funcname | ) |

Value:
template<typename T> \
viennacl::matrix_expression<const matrix_base<T>, const matrix_base<T>, op_element_unary<op_##funcname> > \
element_##funcname(matrix_base<T> const & A) \
{ \
return viennacl::matrix_expression<const matrix_base<T>, const matrix_base<T>, op_element_unary<op_##funcname> >(A, A); \
} \
template<typename LHS, typename RHS, typename OP> \
viennacl::matrix_expression<const matrix_expression<const LHS, const RHS, OP>, \
const matrix_expression<const LHS, const RHS, OP>, \
op_element_unary<op_##funcname> > \
element_##funcname(matrix_expression<const LHS, const RHS, OP> const & proxy) \
{ \
return viennacl::matrix_expression<const matrix_expression<const LHS, const RHS, OP>, \
const matrix_expression<const LHS, const RHS, OP>, \
op_element_unary<op_##funcname> >(proxy, proxy); \
} \
viennacl::matrix_expression
Expression template class for representing a tree of expressions which ultimately result in a matrix...
Definition: forwards.h:341

Definition at line 789 of file matrix_operations.hpp.