Class DenseMatrix¶

Defined in File matrix.h

Inheritance Relationships¶

Base Type¶

public SymEngine::MatrixBase (Class MatrixBase)

Class Documentation¶

class SymEngine::DenseMatrix : public SymEngine::MatrixBase ¶

Public Functions

DenseMatrix()¶

DenseMatrix(const DenseMatrix&) = default¶

DenseMatrix(unsigned row, unsigned col)¶

DenseMatrix(unsigned row, unsigned col, const vec_basic &l)¶

DenseMatrix(const vec_basic &column_elements)¶

DenseMatrix &operator=(const DenseMatrix &other) = default¶

void resize(unsigned i, unsigned j)¶

RCP<const Basic> get(unsigned i, unsigned j) const¶

void set(unsigned i, unsigned j, const RCP<const Basic> &e)¶

vec_basic as_vec_basic() const¶

unsigned nrows() const¶

unsigned ncols() const¶

bool is_lower() const¶

bool is_upper() const¶

unsigned rank() const¶

RCP<const Basic> det() const¶

void inv(MatrixBase &result) const¶

void add_matrix(const MatrixBase &other, MatrixBase &result) const¶

void mul_matrix(const MatrixBase &other, MatrixBase &result) const¶

void elementwise_mul_matrix(const MatrixBase &other, MatrixBase &result) const¶

void add_scalar(const RCP<const Basic> &k, MatrixBase &result) const¶

void mul_scalar(const RCP<const Basic> &k, MatrixBase &result) const¶

void conjugate(MatrixBase &result) const¶

void transpose(MatrixBase &result) const¶

void conjugate_transpose(MatrixBase &result) const¶

void submatrix(MatrixBase &result, unsigned row_start, unsigned col_start, unsigned row_end, unsigned col_end, unsigned row_step = 1, unsigned col_step = 1) const¶

void LU(MatrixBase &L, MatrixBase &U) const¶

void LDL(MatrixBase &L, MatrixBase &D) const¶

void LU_solve(const MatrixBase &b, MatrixBase &x) const¶

void FFLU(MatrixBase &LU) const¶

void FFLDU(MatrixBase &L, MatrixBase &D, MatrixBase &U) const¶

void QR(MatrixBase &Q, MatrixBase &R) const¶

void cholesky(MatrixBase &L) const¶

void row_join(const DenseMatrix &B)¶

void col_join(const DenseMatrix &B)¶

void row_insert(const DenseMatrix &B, unsigned pos)¶

void col_insert(const DenseMatrix &B, unsigned pos)¶

void row_del(unsigned k)¶

void col_del(unsigned k)¶

Public Members

friend CSRMatrix

Friends

friend void jacobian(const DenseMatrix &A, const DenseMatrix &x, DenseMatrix &result, bool diff_cache)¶

friend void sjacobian(const DenseMatrix &A, const DenseMatrix &x, DenseMatrix &result, bool diff_cache)¶

friend void diff(const DenseMatrix &A, const RCP<const Symbol> &x, DenseMatrix &result, bool diff_cache)¶

friend void sdiff(const DenseMatrix &A, const RCP<const Basic> &x, DenseMatrix &result, bool diff_cache)¶

friend void add_dense_dense(const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &C)¶

friend void add_dense_scalar(const DenseMatrix &A, const RCP<const Basic> &k, DenseMatrix &B)¶

friend void mul_dense_dense(const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &C)¶

friend void elementwise_mul_dense_dense(const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &C)¶

friend void mul_dense_scalar(const DenseMatrix &A, const RCP<const Basic> &k, DenseMatrix &C)¶

friend void conjugate_dense(const DenseMatrix &A, DenseMatrix &B)¶

friend void transpose_dense(const DenseMatrix &A, DenseMatrix &B)¶

friend void conjugate_transpose_dense(const DenseMatrix &A, DenseMatrix &B)¶

friend void submatrix_dense(const DenseMatrix &A, DenseMatrix &B, unsigned row_start, unsigned col_start, unsigned row_end, unsigned col_end, unsigned row_step, unsigned col_step)¶

friend void row_exchange_dense(DenseMatrix &A, unsigned i, unsigned j)¶

friend void row_mul_scalar_dense(DenseMatrix &A, unsigned i, RCP<const Basic> &c)¶

friend void row_add_row_dense(DenseMatrix &A, unsigned i, unsigned j, RCP<const Basic> &c)¶

friend void permuteFwd(DenseMatrix &A, permutelist &pl)¶

friend void column_exchange_dense(DenseMatrix &A, unsigned i, unsigned j)¶

friend void pivoted_gaussian_elimination(const DenseMatrix &A, DenseMatrix &B, permutelist &pivotlist)¶

friend void fraction_free_gaussian_elimination(const DenseMatrix &A, DenseMatrix &B)¶

friend void pivoted_fraction_free_gaussian_elimination(const DenseMatrix &A, DenseMatrix &B, permutelist &pivotlist)¶

friend void pivoted_gauss_jordan_elimination(const DenseMatrix &A, DenseMatrix &B, permutelist &pivotlist)¶

friend void fraction_free_gauss_jordan_elimination(const DenseMatrix &A, DenseMatrix &B)¶

friend void pivoted_fraction_free_gauss_jordan_elimination(const DenseMatrix &A, DenseMatrix &B, permutelist &pivotlist)¶

friend unsigned pivot(DenseMatrix &B, unsigned r, unsigned c)¶

friend void reduced_row_echelon_form(const DenseMatrix &A, DenseMatrix &B, vec_uint &pivot_cols, bool normalize_last)¶

friend void diagonal_solve(const DenseMatrix &A, const DenseMatrix &b, DenseMatrix &x)¶

friend void back_substitution(const DenseMatrix &U, const DenseMatrix &b, DenseMatrix &x)¶

friend void forward_substitution(const DenseMatrix &A, const DenseMatrix &b, DenseMatrix &x)¶

friend void fraction_free_gaussian_elimination_solve(const DenseMatrix &A, const DenseMatrix &b, DenseMatrix &x)¶

friend void fraction_free_gauss_jordan_solve(const DenseMatrix &A, const DenseMatrix &b, DenseMatrix &x)¶

friend void fraction_free_LU(const DenseMatrix &A, DenseMatrix &LU)¶

friend void LU(const DenseMatrix &A, DenseMatrix &L, DenseMatrix &U)¶

friend void pivoted_LU(const DenseMatrix &A, DenseMatrix &LU, permutelist &pl)¶

friend void pivoted_LU(const DenseMatrix &A, DenseMatrix &L, DenseMatrix &U, permutelist &pl)¶

friend void fraction_free_LDU(const DenseMatrix &A, DenseMatrix &L, DenseMatrix &D, DenseMatrix &U)¶

friend void QR(const DenseMatrix &A, DenseMatrix &Q, DenseMatrix &R)¶

friend void LDL(const DenseMatrix &A, DenseMatrix &L, DenseMatrix &D)¶

friend void cholesky(const DenseMatrix &A, DenseMatrix &L)¶

friend bool is_symmetric_dense(const DenseMatrix &A)¶

friend RCP<const Basic> det_bareis(const DenseMatrix &A)¶

friend void berkowitz(const DenseMatrix &A, std::vector<DenseMatrix> &polys)¶

friend void inverse_fraction_free_LU(const DenseMatrix &A, DenseMatrix &B)¶

friend void inverse_LU(const DenseMatrix &A, DenseMatrix &B)¶

friend void inverse_pivoted_LU(const DenseMatrix &A, DenseMatrix &B)¶

friend void inverse_gauss_jordan(const DenseMatrix &A, DenseMatrix &B)¶

friend void dot(const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &C)¶

friend void cross(const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &C)¶

friend void eye(DenseMatrix &A, int k)¶

friend void diag(DenseMatrix &A, vec_basic &v, int k)¶

friend void ones(DenseMatrix &A)¶

friend void zeros(DenseMatrix &A)¶