Inheritance diagram for SymEngine::DenseMatrix:

Collaboration diagram for SymEngine::DenseMatrix:

Public Member Functions
	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

virtual MatrixTypeID	get_type_code () const

void	resize (unsigned i, unsigned j)

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

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

virtual vec_basic	as_vec_basic () const

unsigned	nrows () const override

unsigned	ncols () const override

std::string	dumps () const
	Returns a string of the instance serialized.

virtual bool	is_lower () const

virtual bool	is_upper () const

virtual tribool	is_zero () const

virtual tribool	is_diagonal () const

tribool	is_real (const Assumptions *assumptions=nullptr) const override

virtual tribool	is_symmetric () const

virtual tribool	is_hermitian () const

virtual tribool	is_weakly_diagonally_dominant () const

virtual tribool	is_strictly_diagonally_dominant () const

virtual tribool	is_positive_definite () const

virtual tribool	is_negative_definite () const

RCP< const Basic >	trace () const

unsigned	rank () const override

RCP< const Basic >	det () const override

void	inv (MatrixBase &result) const override

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

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

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

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

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

void	conjugate (MatrixBase &result) const override

void	transpose (MatrixBase &result) const override

void	conjugate_transpose (MatrixBase &result) const override

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 override

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

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

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

void	FFLU (MatrixBase &LU) const override

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

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

void	cholesky (MatrixBase &L) const override

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 Member Functions inherited from SymEngine::MatrixBase
bool	is_square () const

virtual bool	eq (const MatrixBase &other) const

virtual std::string	__str__ () const

Static Public Member Functions
static DenseMatrix	loads (const std::string &)
	Creates an instance of a serialized string.

Data Fields
friend	CSRMatrix

Static Public Attributes
static const MatrixTypeID	type_code_id = SYMENGINE_DENSE_MATRIX

Private Member Functions
tribool	shortcut_to_posdef () const

tribool	is_positive_definite_GE ()

Private Attributes
vec_basic	m_

unsigned	row_

unsigned	col_

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

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

void	permuteFwd (DenseMatrix &A, permutelist &pl)

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

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

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

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

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

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

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

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

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

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

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

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

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

void	fraction_free_gauss_jordan_solve (const DenseMatrix &A, const DenseMatrix &b, DenseMatrix &x, bool pivot)

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

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

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

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

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

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

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

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

bool	is_symmetric_dense (const DenseMatrix &A)

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

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

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

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

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

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

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

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

void	eye (DenseMatrix &A, int k)

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

void	ones (DenseMatrix &A)

void	zeros (DenseMatrix &A)

Detailed Description

Definition at line 111 of file matrix.h.

The documentation for this class was generated from the following files:

/home/runner/work/symengine/symengine/symengine/matrix.h
/home/runner/work/symengine/symengine/symengine/dense_matrix.cpp

Public Member Functions

Static Public Member Functions

Data Fields

Static Public Attributes

Private Member Functions

Private Attributes

Friends

Detailed Description