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spai.hpp File Reference

Main implementation of SPAI (not FSPAI). Experimental. More...

`#include <utility>`
`#include <iostream>`
`#include <fstream>`
`#include <string>`
`#include <algorithm>`
`#include <vector>`
`#include <math.h>`
`#include <map>`
`#include "viennacl/linalg/detail/spai/spai_tag.hpp"`
`#include "viennacl/linalg/qr.hpp"`
`#include "viennacl/linalg/detail/spai/spai-dynamic.hpp"`
`#include "viennacl/linalg/detail/spai/spai-static.hpp"`
`#include "viennacl/linalg/detail/spai/sparse_vector.hpp"`
`#include "viennacl/linalg/detail/spai/block_matrix.hpp"`
`#include "viennacl/linalg/detail/spai/block_vector.hpp"`
`#include "boost/numeric/ublas/vector.hpp"`
`#include "boost/numeric/ublas/matrix.hpp"`
`#include "boost/numeric/ublas/matrix_proxy.hpp"`
`#include "boost/numeric/ublas/vector_proxy.hpp"`
`#include "boost/numeric/ublas/storage.hpp"`
`#include "boost/numeric/ublas/io.hpp"`
`#include "boost/numeric/ublas/lu.hpp"`
`#include "boost/numeric/ublas/triangular.hpp"`
`#include "boost/numeric/ublas/matrix_expression.hpp"`
`#include "viennacl/linalg/prod.hpp"`
`#include "viennacl/matrix.hpp"`
`#include "viennacl/compressed_matrix.hpp"`
`#include "viennacl/linalg/sparse_matrix_operations.hpp"`
`#include "viennacl/linalg/matrix_operations.hpp"`
`#include "viennacl/scalar.hpp"`
`#include "viennacl/linalg/inner_prod.hpp"`
`#include "viennacl/linalg/ilu.hpp"`
`#include "viennacl/ocl/backend.hpp"`
`#include "viennacl/linalg/opencl/kernels/spai.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.
| viennacl::linalg::detail
| Namespace holding implementation details for linear algebra routines. Usually not of interest for a library user.
| viennacl::linalg::detail::spai
| Implementation namespace for sparse approximate inverse preconditioner.

## Macros

#define | VIENNACL_SPAI_K_b 20

## Functions

template<typename SparseVectorT >
void | viennacl::linalg::detail::spai::print_sparse_vector (SparseVectorT const &v)
template<typename DenseMatrixT >
void | viennacl::linalg::detail::spai::print_matrix (DenseMatrixT &m)
template<typename SparseVectorT , typename NumericT >
void | viennacl::linalg::detail::spai::add_sparse_vectors (SparseVectorT const &v, NumericT b, SparseVectorT &res_v)
| Add two sparse vectors res_v = b*v. More...
template<typename SparseVectorT , typename NumericT >
void | viennacl::linalg::detail::spai::compute_spai_residual (std::vector< SparseVectorT > const &A_v_c, SparseVectorT const &v, unsigned int ind, SparseVectorT &res)
| Computation of residual res = A*v - e. More...
template<typename SparseVectorT >
void | viennacl::linalg::detail::spai::build_index_set (std::vector< SparseVectorT > const &A_v_c, SparseVectorT const &v, std::vector< unsigned int > &J, std::vector< unsigned int > &I)
| Setting up index set of columns and rows for certain column. More...
template<typename SparseMatrixT , typename DenseMatrixT >
void | viennacl::linalg::detail::spai::initProjectSubMatrix (SparseMatrixT const &A_in, std::vector< unsigned int > const &J, std::vector< unsigned int > &I, DenseMatrixT &A_out)
| Initializes a dense matrix from a sparse one. More...
template<typename SparseMatrixT , typename DenseMatrixT , typename SparseVectorT , typename VectorT >
void | viennacl::linalg::detail::spai::block_set_up (SparseMatrixT const &A, std::vector< SparseVectorT > const &A_v_c, std::vector< SparseVectorT > const &M_v, std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, std::vector< DenseMatrixT > &g_A_I_J, std::vector< VectorT > &g_b_v)
| Setting up blocks and QR factorizing them on CPU. More...
template<typename SparseVectorT >
void | viennacl::linalg::detail::spai::index_set_up (std::vector< SparseVectorT > const &A_v_c, std::vector< SparseVectorT > const &M_v, std::vector< std::vector< unsigned int > > &g_J, std::vector< std::vector< unsigned int > > &g_I)
| Setting up index set of columns and rows for all columns. More...
template<typename NumericT , unsigned int AlignmentV, typename SparseVectorT >
void | viennacl::linalg::detail::spai::block_set_up (viennacl::compressed_matrix< NumericT, AlignmentV > const &A, std::vector< SparseVectorT > const &A_v_c, std::vector< SparseVectorT > const &M_v, std::vector< cl_uint > g_is_update, std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, block_matrix &g_A_I_J, block_vector &g_bv)
| Setting up blocks and QR factorizing them on GPU. More...
template<typename NumericT , typename SparseVectorT >
void | viennacl::linalg::detail::spai::custom_fan_out (std::vector< NumericT > const &m_in, unsigned int start_m_ind, std::vector< unsigned int > const &J, SparseVectorT &m)
| Elicitation of sparse vector m for particular column from m_in - contigious vector for all columns. More...
template<typename SparseVectorT , typename NumericT >
void | viennacl::linalg::detail::spai::least_square_solve (std::vector< SparseVectorT > &A_v_c, std::vector< SparseVectorT > &M_v, std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, block_matrix &g_A_I_J_vcl, block_vector &g_bv_vcl, std::vector< SparseVectorT > &g_res, std::vector< cl_uint > &g_is_update, const spai_tag &tag, viennacl::context ctx)
| Solution of Least square problem on GPU. More...
template<typename SparseVectorT , typename DenseMatrixT , typename VectorT >
void | viennacl::linalg::detail::spai::least_square_solve (std::vector< SparseVectorT > const &A_v_c, std::vector< DenseMatrixT > &g_R, std::vector< VectorT > &g_b_v, std::vector< std::vector< unsigned int > > &g_I, std::vector< std::vector< unsigned int > > &g_J, std::vector< SparseVectorT > &g_res, std::vector< bool > &g_is_update, std::vector< SparseVectorT > &M_v, spai_tag const &tag)
| Solution of Least square problem on CPU. More...
template<typename VectorType >
bool | viennacl::linalg::detail::spai::is_all_update (VectorType &parallel_is_update)
template<typename SparseMatrixT , typename SparseVectorT >
void | viennacl::linalg::detail::spai::vectorize_column_matrix (SparseMatrixT const &M_in, std::vector< SparseVectorT > &M_v)
| Solution of Least square problem on CPU. More...
template<typename SparseMatrixT , typename SparseVectorT >
void | viennacl::linalg::detail::spai::vectorize_row_matrix (SparseMatrixT const &M_in, std::vector< SparseVectorT > &M_v)
template<typename SizeT >
void | viennacl::linalg::detail::spai::write_set_to_array (std::vector< std::vector< SizeT > > const &ind_set, std::vector< cl_uint > &a)
template<typename NumericT , unsigned int AlignmentV>
void | viennacl::linalg::detail::spai::block_assembly (viennacl::compressed_matrix< NumericT, AlignmentV > const &A, std::vector< std::vector< unsigned int > > const &g_J, std::vector< std::vector< unsigned int > > const &g_I, block_matrix &g_A_I_J_vcl, std::vector< cl_uint > &g_is_update, bool &is_empty_block)
| Assembly of blocks on GPU by a gived set of row indices: g_I and column indices: g_J. More...
template<typename SparseMatrixT , typename SparseVectorT >
void | viennacl::linalg::detail::spai::insert_sparse_columns (std::vector< SparseVectorT > const &M_v, SparseMatrixT &M, bool is_right)
| Insertion of vectorized matrix column into original sparse matrix. More...
template<typename MatrixT >
void | viennacl::linalg::detail::spai::sparse_transpose (MatrixT const &A_in, MatrixT &A)
| Transposition of sparse matrix. More...
template<typename MatrixT >
void | viennacl::linalg::detail::spai::computeSPAI (MatrixT const &A, MatrixT &M, spai_tag &tag)
| Construction of SPAI preconditioner on CPU. More...
template<typename NumericT , unsigned int AlignmentV>
void | viennacl::linalg::detail::spai::computeSPAI (viennacl::compressed_matrix< NumericT, AlignmentV > const &A, boost::numeric::ublas::compressed_matrix< NumericT > const &cpu_A, boost::numeric::ublas::compressed_matrix< NumericT > &cpu_M, viennacl::compressed_matrix< NumericT, AlignmentV > &M, spai_tag const &tag)
| Construction of SPAI preconditioner on GPU. More...

## Detailed Description

Main implementation of SPAI (not FSPAI). Experimental.

Definition in file spai.hpp.

## Macro Definition Documentation

#define VIENNACL_SPAI_K_b 20

Definition at line 68 of file spai.hpp.