EigenMatrix.h¶

Note

The documentation on this page was automatically extracted from the DOLFIN C++ code and may need to be edited or expanded.

class EigenMatrix¶

Parent class(es)

GenericMatrix

This class provides a sparse matrix class based on Eigen. It is a simple wrapper for Eigen::SparseMatrix implementing the GenericMatrix interface.

The interface is intentionally simple. For advanced usage, access the underlying Eigen matrix and use the standard Eigen interface which is documented at http://eigen.tuxfamily.org

EigenMatrix()¶: Create empty matrix

EigenMatrix(std::size_t M, std::size_t N)¶: Create M x N matrix

EigenMatrix(const EigenMatrix &A)¶: Copy constructor

void init(const TensorLayout &tensor_layout)¶: Initialize zero tensor using tenor layout

bool empty() const¶: Return true if empty

std::size_t size(std::size_t dim) const¶: Return size of given dimension

std::pair<std::size_t, std::size_t> local_range(std::size_t dim) const¶: Return local ownership range

std::size_t nnz() const¶: Return number of non-zero entries in matrix

void zero()¶: Set all entries to zero and keep any sparse structure

void apply(std::string mode)¶: Finalize assembly of tensor

MPI_Comm mpi_comm() const¶: Return MPI communicator

std::string str(bool verbose) const¶: Return informal string representation (pretty-print)

std::shared_ptr<GenericMatrix> copy() const¶: Return copy of matrix

void resize(std::size_t M, std::size_t N)¶: Resize matrix to M x N

void init_vector(GenericVector &z, std::size_t dim) const¶

Initialise vector z to be compatible with the matrix-vector product y = Ax.

Arguments

dim (std::size_t): The dimension (axis): dim = 0 –> z = y, dim = 1 –> z = x

void get(double *block, std::size_t m, const dolfin::la_index *rows, std::size_t n, const dolfin::la_index *cols) const¶: Get block of values

void set(const double *block, std::size_t m, const dolfin::la_index *rows, std::size_t n, const dolfin::la_index *cols)¶: Set block of values using global indices

void set_local(const double *block, std::size_t m, const dolfin::la_index *rows, std::size_t n, const dolfin::la_index *cols)¶: Set block of values using local indices

void add(const double *block, std::size_t m, const dolfin::la_index *rows, std::size_t n, const dolfin::la_index *cols)¶: Add block of values using global indices

void add_local(const double *block, std::size_t m, const dolfin::la_index *rows, std::size_t n, const dolfin::la_index *cols)¶: Add block of values using local indices

void axpy(double a, const GenericMatrix &A, bool same_nonzero_pattern)¶: Add multiple of given matrix (AXPY operation)

double norm(std::string norm_type) const¶: Return norm of matrix

void getrow(std::size_t row, std::vector<std::size_t> &columns, std::vector<double> &values) const¶: Get non-zero values of given row

void setrow(std::size_t row_idx, const std::vector<std::size_t> &columns, const std::vector<double> &values)¶: Set values for given row

void zero(std::size_t m, const dolfin::la_index *rows)¶: Set given rows (global row indices) to zero

void zero_local(std::size_t m, const dolfin::la_index *rows)¶: Set given rows (local row indices) to zero

void ident(std::size_t m, const dolfin::la_index *rows)¶: Set given rows to identity matrix

void ident_local(std::size_t m, const dolfin::la_index *rows)¶: Set given rows to identity matrix

void mult(const GenericVector &x, GenericVector &y) const¶: Matrix-vector product, y = Ax

void transpmult(const GenericVector &x, GenericVector &y) const¶: Matrix-vector product, y = A^T x

void get_diagonal(GenericVector &x) const¶: Get diagonal of a matrix

void set_diagonal(const GenericVector &x)¶: Set diagonal of a matrix

const EigenMatrix &operator*=(double a)¶: Multiply matrix by given number

const EigenMatrix &operator/=(double a)¶: Divide matrix by given number

const GenericMatrix &operator=(const GenericMatrix &A)¶: Assignment operator

std::tuple<const int *, const int *, const double *, std::size_t> data() const¶: Return pointers to underlying compressed storage data See GenericMatrix for documentation.

GenericLinearAlgebraFactory &factory() const¶: Return linear algebra backend factory

const eigen_matrix_type &mat() const¶: Return reference to Eigen matrix (const version)

eigen_matrix_type &mat()¶: Return reference to Eigen matrix (non-const version)

void compress()¶: Compress matrix (eliminate all zeros from a sparse matrix)

double operator()(dolfin::la_index i, dolfin::la_index j) const¶: Access value of given entry

const EigenMatrix &operator=(const EigenMatrix &A)¶: Assignment operator