Index A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | Z A act_on_polynomial() (sage.matrix.matrix0.Matrix method) add() (sage.matrix.matrix_window.MatrixWindow method) add_column() (in module sage.matrix.matrix_integer_dense_hnf) add_column_fallback() (in module sage.matrix.matrix_integer_dense_hnf) add_multiple_of_column() (sage.matrix.matrix0.Matrix method) add_multiple_of_row() (sage.matrix.matrix0.Matrix method) add_prod() (sage.matrix.matrix_window.MatrixWindow method) add_row() (in module sage.matrix.matrix_integer_dense_hnf) add_to_entry() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_rational_sparse.Matrix_rational_sparse method) adjoint() (sage.matrix.matrix2.Matrix method) adjoint_classical() (sage.matrix.matrix2.Matrix method) adjugate() (sage.matrix.matrix2.Matrix method) anticommutator() (sage.matrix.matrix0.Matrix method) antitranspose() (sage.matrix.matrix_dense.Matrix_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_sparse.Matrix_sparse method) apply_map() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_sparse.Matrix_sparse method) apply_morphism() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_sparse.Matrix_sparse method) arguments() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) as_bipartite_graph() (sage.matrix.matrix2.Matrix method) as_sum_of_permutations() (sage.matrix.matrix2.Matrix method) augment() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_sparse.Matrix_sparse method) automorphisms_of_rows_and_columns() (sage.matrix.matrix2.Matrix method) B base (sage.matrix.args.MatrixArgs attribute) base_extend() (sage.matrix.matrix_space.MatrixSpace method) base_ring() (sage.matrix.matrix0.Matrix method) basis() (sage.matrix.matrix_space.MatrixSpace method) basis_completion() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) benchmark_hnf() (in module sage.matrix.matrix_integer_dense_hnf) benchmark_magma_hnf() (in module sage.matrix.matrix_integer_dense_hnf) berlekamp_massey() (in module sage.matrix.berlekamp_massey) BKZ() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) block_diagonal_matrix() (in module sage.matrix.special) block_ldlt() (sage.matrix.matrix2.Matrix method) block_matrix() (in module sage.matrix.special) block_sum() (sage.matrix.matrix1.Matrix method) C C (sage.matrix.matrix2.Matrix attribute) cached_method() (sage.matrix.matrix_space.MatrixSpace method) canonicalize_radical() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) cardinality() (sage.matrix.matrix_space.MatrixSpace method) change_names() (sage.matrix.operation_table.OperationTable method) change_ring() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_space.MatrixSpace method) (sage.matrix.matrix_sparse.Matrix_sparse method) characteristic() (sage.matrix.matrix_space.MatrixSpace method) characteristic_polynomial() (sage.matrix.matrix2.Matrix method) charpoly() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_sparse.Matrix_sparse method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) charpoly_GF() (in module sage.matrix.benchmark) charpoly_ZZ() (in module sage.matrix.benchmark) cholesky() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) circulant() (in module sage.matrix.special) cling() (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) cmp_pivots() (in module sage.matrix.misc) codomain() (sage.matrix.action.MatrixMulAction method) coefficient_bound() (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) coefficient_matrix() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) color_table() (sage.matrix.operation_table.OperationTable method) column() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) column_ambient_module() (sage.matrix.matrix1.Matrix method) column_degrees() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) column_keys (sage.matrix.args.MatrixArgs attribute) column_keys() (sage.matrix.operation_table.OperationTable method) column_matrix() (in module sage.matrix.special) column_module() (sage.matrix.matrix2.Matrix method) column_space() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) columns() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) commutator() (sage.matrix.matrix0.Matrix method) companion_matrix() (in module sage.matrix.special) ComputeMinimalPolynomials (class in sage.matrix.compute_J_ideal) condition() (sage.matrix.matrix_double_dense.Matrix_double_dense method) conjugate() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) conjugate_transpose() (sage.matrix.matrix2.Matrix method) constant_matrix() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) construction() (sage.matrix.matrix_space.MatrixSpace method) contains() (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) current_nu() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) cyclic_subspace() (sage.matrix.matrix2.Matrix method) D decomp_seq() (in module sage.matrix.matrix2) decomposition() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) decomposition_of_subspace() (sage.matrix.matrix2.Matrix method) degree() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) degree_matrix() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) delete_columns() (sage.matrix.matrix1.Matrix method) delete_rows() (sage.matrix.matrix1.Matrix method) denominator() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_rational_sparse.Matrix_rational_sparse method) dense_coefficient_list() (sage.matrix.matrix0.Matrix method) dense_columns() (sage.matrix.matrix1.Matrix method) dense_matrix() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_rational_sparse.Matrix_rational_sparse method) dense_rows() (sage.matrix.matrix1.Matrix method) density() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse method) (sage.matrix.matrix_sparse.Matrix_sparse method) derivative() (sage.matrix.matrix2.Matrix method) det() (sage.matrix.matrix2.Matrix method) det_from_modp_and_divisor() (in module sage.matrix.matrix_integer_dense_hnf) det_GF() (in module sage.matrix.benchmark) det_given_divisor() (in module sage.matrix.matrix_integer_dense_hnf) det_hilbert_QQ() (in module sage.matrix.benchmark) det_padic() (in module sage.matrix.matrix_integer_dense_hnf) det_QQ() (in module sage.matrix.benchmark) det_ZZ() (in module sage.matrix.benchmark) determinant() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse method) (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_sparse.Matrix_sparse method) diagonal() (sage.matrix.matrix2.Matrix method) diagonal_matrix() (in module sage.matrix.special) (sage.matrix.matrix_space.MatrixSpace method) diagonalization() (sage.matrix.matrix2.Matrix method) dict() (sage.matrix.args.MatrixArgs method) (sage.matrix.matrix0.Matrix method) dict_to_list() (in module sage.matrix.matrix_space) dimension() (sage.matrix.matrix_space.MatrixSpace method) dimensions() (sage.matrix.matrix0.Matrix method) dims() (sage.matrix.matrix_space.MatrixSpace method) double_det() (in module sage.matrix.matrix_integer_dense_hnf) E echelon_form() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_rational_sparse.Matrix_rational_sparse method) echelon_in_place() (sage.matrix.matrix_window.MatrixWindow method) echelon_QQ() (in module sage.matrix.benchmark) echelonize() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_rational_sparse.Matrix_rational_sparse method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) eigenmatrix_left() (sage.matrix.matrix2.Matrix method) eigenmatrix_right() (sage.matrix.matrix2.Matrix method) eigenspaces_left() (sage.matrix.matrix2.Matrix method) eigenspaces_right() (sage.matrix.matrix2.Matrix method) eigenvalue_multiplicity() (sage.matrix.matrix2.Matrix method) eigenvalues() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) eigenvectors_left() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) eigenvectors_left_approx() (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) eigenvectors_right() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) eigenvectors_right_approx() (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) element() (sage.matrix.args.MatrixArgs method) element_is_zero() (sage.matrix.matrix_window.MatrixWindow method) elementary_divisors() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) elementary_matrix() (in module sage.matrix.special) elementwise_product() (sage.matrix.matrix2.Matrix method) entries (sage.matrix.args.MatrixArgs attribute) entry (sage.matrix.args.SparseEntry attribute) exp() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) expand() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) extended_echelon_form() (sage.matrix.matrix2.Matrix method) extract_ones_data() (in module sage.matrix.matrix_integer_dense_hnf) F factor() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) fcp() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) finalized() (sage.matrix.args.MatrixArgs method) find() (sage.matrix.matrix2.Matrix method) find_monic_replacements() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) fitting_ideal() (sage.matrix.matrix2.Matrix method) frobenius() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) frobenius_form() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) from_png() (in module sage.matrix.matrix_mod2_dense) from_vector() (sage.matrix.matrix_space.MatrixSpace method) function() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) G gcd() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) gen() (sage.matrix.matrix_space.MatrixSpace method) get_matrix_class() (in module sage.matrix.matrix_space) get_subdivisions() (sage.matrix.matrix2.Matrix method) get_unsafe() (sage.matrix.matrix_window.MatrixWindow method) gram_schmidt() (sage.matrix.matrix2.Matrix method) gray_table() (sage.matrix.operation_table.OperationTable method) H H (sage.matrix.matrix2.Matrix attribute) hadamard_bound() (sage.matrix.matrix2.Matrix method) hadamard_row_bound_mpfr() (in module sage.matrix.misc_mpfr) hankel() (in module sage.matrix.special) height() (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_rational_sparse.Matrix_rational_sparse method) hermite_form() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) hessenberg_form() (sage.matrix.matrix2.Matrix method) hessenbergize() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) hilbert() (in module sage.matrix.special) hilbert_matrix() (in module sage.matrix.benchmark) hnf() (in module sage.matrix.matrix_integer_dense_hnf) hnf_square() (in module sage.matrix.matrix_integer_dense_hnf) hnf_with_transformation() (in module sage.matrix.matrix_integer_dense_hnf) hnf_with_transformation_tests() (in module sage.matrix.matrix_integer_dense_hnf) I i (sage.matrix.args.SparseEntry attribute) ideal_or_fractional() (in module sage.matrix.matrix2) identical() (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) identity_matrix() (in module sage.matrix.special) (sage.matrix.matrix_space.MatrixSpace method) image() (sage.matrix.matrix2.Matrix method) indefinite_factorization() (sage.matrix.matrix2.Matrix method) index_in_saturation() (in module sage.matrix.matrix_integer_dense_saturation) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) insert_row() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) int_range (class in sage.matrix.strassen) integer_kernel() (sage.matrix.matrix2.Matrix method) integer_to_real_double_dense() (in module sage.matrix.change_ring) integer_valued_polynomials_generators() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) interleave_matrices() (in module sage.matrix.matrix_integer_dense_hnf) intervals() (sage.matrix.strassen.int_range method) inverse() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) inverse_of_unit() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) inverse_positive_definite() (sage.matrix.matrix2.Matrix method) inverse_QQ() (in module sage.matrix.benchmark) inverse_series_trunc() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) invert_hilbert_QQ() (in module sage.matrix.benchmark) is_alternating() (sage.matrix.matrix0.Matrix method) is_bistochastic() (sage.matrix.matrix2.Matrix method) is_constant() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) is_cross_positive_on() (sage.matrix.matrix2.Matrix method) is_dense() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) is_diagonal() (sage.matrix.matrix2.Matrix method) is_diagonalizable() (sage.matrix.matrix2.Matrix method) is_exact() (sage.matrix.matrix_space.MatrixSpace method) is_finite() (sage.matrix.matrix_space.MatrixSpace method) is_hermite() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) is_hermitian() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) is_immutable() (sage.matrix.matrix0.Matrix method) is_in_hnf_form() (in module sage.matrix.matrix_integer_dense_hnf) is_invertible() (sage.matrix.matrix0.Matrix method) is_LLL_reduced() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) is_lyapunov_like_on() (sage.matrix.matrix2.Matrix method) is_MatrixSpace() (in module sage.matrix.matrix_space) is_minimal_approximant_basis() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) is_minimal_kernel_basis() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) is_mutable() (sage.matrix.matrix0.Matrix method) is_nilpotent() (sage.matrix.matrix2.Matrix method) is_normal() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) is_one() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) is_permutation_of() (sage.matrix.matrix2.Matrix method) is_popov() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) is_positive_definite() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) is_positive_operator_on() (sage.matrix.matrix2.Matrix method) is_positive_semidefinite() (sage.matrix.matrix2.Matrix method) is_primitive() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) is_reduced() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) is_scalar() (sage.matrix.matrix2.Matrix method) is_semisimple() (sage.matrix.matrix2.Matrix method) is_similar() (sage.matrix.matrix2.Matrix method) is_singular() (sage.matrix.matrix0.Matrix method) is_skew_hermitian() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) is_skew_symmetric() (sage.matrix.matrix0.Matrix method) is_skew_symmetrizable() (sage.matrix.matrix0.Matrix method) is_sparse() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) is_square() (sage.matrix.matrix0.Matrix method) is_symmetric() (sage.matrix.matrix0.Matrix method) is_symmetrizable() (sage.matrix.matrix0.Matrix method) is_triangular() (sage.matrix.matrix2.Matrix method) is_unit() (sage.matrix.matrix0.Matrix method) is_unitary() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) is_weak_popov() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) is_Z_operator_on() (sage.matrix.matrix2.Matrix method) items() (sage.matrix.matrix0.Matrix method) iter() (sage.matrix.args.MatrixArgs method) iterates() (sage.matrix.matrix0.Matrix method) ith_to_zero_rotation_matrix() (in module sage.matrix.special) J j (sage.matrix.args.SparseEntry attribute) jordan_block() (in module sage.matrix.special) jordan_decomposition() (sage.matrix.matrix2.Matrix method) jordan_form() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) K kernel() (sage.matrix.matrix2.Matrix method) kernel_on() (sage.matrix.matrix2.Matrix method) kwds (sage.matrix.args.MatrixArgs attribute) L leading_matrix() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) leading_positions() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) left_eigenmatrix() (sage.matrix.matrix2.Matrix method) left_eigenspaces() (sage.matrix.matrix2.Matrix method) left_eigenvectors() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) left_kernel() (sage.matrix.matrix2.Matrix method) left_kernel_matrix() (sage.matrix.matrix2.Matrix method) left_nullity() (sage.matrix.matrix2.Matrix method) left_quo_rem() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) lehmer() (in module sage.matrix.special) lift() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) lift_centered() (sage.matrix.matrix1.Matrix method) lifting() (in module sage.matrix.compute_J_ideal) linear_combination_of_columns() (sage.matrix.matrix0.Matrix method) linear_combination_of_rows() (sage.matrix.matrix0.Matrix method) list() (sage.matrix.args.MatrixArgs method) (sage.matrix.matrix0.Matrix method) LLL() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) LLL_gram() (sage.matrix.matrix2.Matrix method) log_determinant() (sage.matrix.matrix_double_dense.Matrix_double_dense method) LU() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) LU_valid() (sage.matrix.matrix_double_dense.Matrix_double_dense method) M M4RIE_finite_field (class in sage.matrix.matrix_gf2e_dense) Matrix (class in sage.matrix.matrix0) (class in sage.matrix.matrix1) (class in sage.matrix.matrix2) Matrix() (in module sage.matrix.constructor) matrix() (in module sage.matrix.constructor) (sage.matrix.args.MatrixArgs method) (sage.matrix.matrix_space.MatrixSpace method) (sage.matrix.matrix_window.MatrixWindow method) matrix_add_GF() (in module sage.matrix.benchmark) matrix_add_ZZ() (in module sage.matrix.benchmark) matrix_add_ZZ_2() (in module sage.matrix.benchmark) Matrix_complex_ball_dense (class in sage.matrix.matrix_complex_ball_dense) Matrix_complex_double_dense (class in sage.matrix.matrix_complex_double_dense) Matrix_cyclo_dense (class in sage.matrix.matrix_cyclo_dense) Matrix_dense (class in sage.matrix.matrix_dense) Matrix_double_dense (class in sage.matrix.matrix_double_dense) matrix_from_columns() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) matrix_from_rows() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse method) matrix_from_rows_and_columns() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_sparse.Matrix_sparse method) Matrix_generic_dense (class in sage.matrix.matrix_generic_dense) Matrix_generic_sparse (class in sage.matrix.matrix_generic_sparse) Matrix_gf2e_dense (class in sage.matrix.matrix_gf2e_dense) Matrix_integer_dense (class in sage.matrix.matrix_integer_dense) matrix_integer_dense_rational_reconstruction() (in module sage.matrix.misc_flint) Matrix_integer_sparse (class in sage.matrix.matrix_integer_sparse) matrix_integer_sparse_rational_reconstruction() (in module sage.matrix.misc) matrix_method() (in module sage.matrix.special) Matrix_mod2_dense (class in sage.matrix.matrix_mod2_dense) Matrix_modn_dense_double (class in sage.matrix.matrix_modn_dense_double) Matrix_modn_dense_float (class in sage.matrix.matrix_modn_dense_float) Matrix_modn_dense_template (class in sage.matrix.matrix_modn_dense_double) (class in sage.matrix.matrix_modn_dense_float) Matrix_modn_sparse (class in sage.matrix.matrix_modn_sparse) Matrix_mpolynomial_dense (class in sage.matrix.matrix_mpolynomial_dense) matrix_multiply_GF() (in module sage.matrix.benchmark) matrix_multiply_QQ() (in module sage.matrix.benchmark) matrix_multiply_ZZ() (in module sage.matrix.benchmark) matrix_of_variables() (sage.matrix.operation_table.OperationTable method) matrix_over_field() (sage.matrix.matrix1.Matrix method) Matrix_polynomial_dense (class in sage.matrix.matrix_polynomial_dense) Matrix_rational_dense (class in sage.matrix.matrix_rational_dense) matrix_rational_echelon_form_multimodular() (in module sage.matrix.misc) Matrix_rational_sparse (class in sage.matrix.matrix_rational_sparse) Matrix_real_double_dense (class in sage.matrix.matrix_real_double_dense) matrix_space() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) Matrix_sparse (class in sage.matrix.matrix_sparse) Matrix_sparse_from_rows() (in module sage.matrix.matrix_generic_sparse) Matrix_symbolic_dense (class in sage.matrix.matrix_symbolic_dense) Matrix_symbolic_sparse (class in sage.matrix.matrix_symbolic_sparse) matrix_window() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_window.MatrixWindow method) MatrixArgs (class in sage.matrix.args) MatrixArgs_init() (in module sage.matrix.args) MatrixMatrixAction (class in sage.matrix.action) MatrixMulAction (class in sage.matrix.action) MatrixPolymapAction (class in sage.matrix.action) MatrixSchemePointAction (class in sage.matrix.action) MatrixSpace (class in sage.matrix.matrix_space) MatrixVector_QQ() (in module sage.matrix.benchmark) MatrixVectorAction (class in sage.matrix.action) MatrixWindow (class in sage.matrix.matrix_rational_dense) (class in sage.matrix.matrix_window) max_det_prime() (in module sage.matrix.matrix_integer_dense_hnf) maxspin() (sage.matrix.matrix2.Matrix method) mccoy_column() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) minimal_approximant_basis() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) minimal_interpolant_basis() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) minimal_kernel_basis() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) minimal_polynomial() (sage.matrix.matrix2.Matrix method) minimal_relation_basis() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) minors() (sage.matrix.matrix2.Matrix method) minpoly() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) mod() (sage.matrix.matrix0.Matrix method) module sage.matrix.action sage.matrix.args sage.matrix.benchmark sage.matrix.berlekamp_massey sage.matrix.change_ring sage.matrix.compute_J_ideal sage.matrix.constructor sage.matrix.docs sage.matrix.echelon_matrix sage.matrix.matrix0 sage.matrix.matrix1 sage.matrix.matrix2 sage.matrix.matrix_complex_ball_dense sage.matrix.matrix_complex_double_dense sage.matrix.matrix_cyclo_dense sage.matrix.matrix_dense sage.matrix.matrix_double_dense sage.matrix.matrix_generic_dense sage.matrix.matrix_generic_sparse sage.matrix.matrix_gf2e_dense sage.matrix.matrix_integer_dense sage.matrix.matrix_integer_dense_hnf sage.matrix.matrix_integer_dense_saturation sage.matrix.matrix_integer_sparse sage.matrix.matrix_misc sage.matrix.matrix_mod2_dense sage.matrix.matrix_modn_dense_double sage.matrix.matrix_modn_dense_float sage.matrix.matrix_modn_sparse sage.matrix.matrix_mpolynomial_dense sage.matrix.matrix_polynomial_dense sage.matrix.matrix_rational_dense sage.matrix.matrix_rational_sparse sage.matrix.matrix_real_double_dense sage.matrix.matrix_space sage.matrix.matrix_sparse sage.matrix.matrix_symbolic_dense sage.matrix.matrix_symbolic_sparse sage.matrix.matrix_window sage.matrix.misc sage.matrix.misc_flint sage.matrix.misc_mpfr sage.matrix.operation_table sage.matrix.special sage.matrix.strassen sage.matrix.symplectic_basis monomial_coefficients() (sage.matrix.matrix0.Matrix method) multiplicative_order() (sage.matrix.matrix0.Matrix method) mutate() (sage.matrix.matrix0.Matrix method) N ncols (sage.matrix.args.MatrixArgs attribute) ncols() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) (sage.matrix.matrix_window.MatrixWindow method) new_empty_window() (sage.matrix.matrix_window.MatrixWindow method) new_matrix() (sage.matrix.matrix1.Matrix method) new_matrix_window() (sage.matrix.matrix_window.MatrixWindow method) ngens() (sage.matrix.matrix_space.MatrixSpace method) nonpivots() (sage.matrix.matrix0.Matrix method) nonzero_positions() (sage.matrix.matrix0.Matrix method) nonzero_positions_in_column() (sage.matrix.matrix0.Matrix method) nonzero_positions_in_row() (sage.matrix.matrix0.Matrix method) norm() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) NotFullRankError nrows (sage.matrix.args.MatrixArgs attribute) nrows() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) (sage.matrix.matrix_window.MatrixWindow method) null_ideal() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) nullity() (sage.matrix.matrix2.Matrix method) nullspace_GF() (in module sage.matrix.benchmark) nullspace_RDF() (in module sage.matrix.benchmark) nullspace_RR() (in module sage.matrix.benchmark) nullspace_ZZ() (in module sage.matrix.benchmark) number_of_arguments() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) numerical_approx() (sage.matrix.matrix2.Matrix method) numpy() (sage.matrix.matrix1.Matrix method) O one() (sage.matrix.matrix_space.MatrixSpace method) ones() (in module sage.matrix.matrix_integer_dense_hnf) ones_matrix() (in module sage.matrix.special) OperationTable (class in sage.matrix.operation_table) options() (in module sage.matrix.constructor) overlaps() (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) P p (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse attribute) p_minimal_polynomials() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) p_part() (in module sage.matrix.compute_J_ideal) p_saturation() (in module sage.matrix.matrix_integer_dense_saturation) pad_zeros() (in module sage.matrix.matrix_integer_dense_hnf) parity() (in module sage.matrix.matrix_mod2_dense) permanent() (sage.matrix.matrix2.Matrix method) permanental_minor() (sage.matrix.matrix2.Matrix method) permanental_minor_polynomial() (in module sage.matrix.matrix_misc) permutation_normal_form() (sage.matrix.matrix2.Matrix method) permute_columns() (sage.matrix.matrix0.Matrix method) permute_rows() (sage.matrix.matrix0.Matrix method) permute_rows_and_columns() (sage.matrix.matrix0.Matrix method) pfaffian() (sage.matrix.matrix2.Matrix method) pivot_rows() (sage.matrix.matrix2.Matrix method) pivots() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method) pivots_of_hnf_matrix() (in module sage.matrix.matrix_integer_dense_hnf) ple() (in module sage.matrix.matrix_mod2_dense) plot() (sage.matrix.matrix2.Matrix method) pluq() (in module sage.matrix.matrix_mod2_dense) PolymapMatrixAction (class in sage.matrix.action) popov_form() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) prime_candidates() (sage.matrix.compute_J_ideal.ComputeMinimalPolynomials method) principal_square_root() (sage.matrix.matrix2.Matrix method) prm_mul() (in module sage.matrix.matrix_misc) probable_hnf() (in module sage.matrix.matrix_integer_dense_hnf) probable_pivot_columns() (in module sage.matrix.matrix_integer_dense_hnf) probable_pivot_rows() (in module sage.matrix.matrix_integer_dense_hnf) prod_of_row_sums() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) pseudoinverse() (sage.matrix.matrix2.Matrix method) Q qdet() (sage.matrix.matrix2.Matrix method) QR() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) quantum_determinant() (sage.matrix.matrix2.Matrix method) R random_diagonalizable_matrix() (in module sage.matrix.special) random_echelonizable_matrix() (in module sage.matrix.special) random_element() (sage.matrix.matrix_space.MatrixSpace method) random_matrix() (in module sage.matrix.special) random_rref_matrix() (in module sage.matrix.special) random_sublist_of_size() (in module sage.matrix.matrix_integer_dense_saturation) random_subspaces_matrix() (in module sage.matrix.special) random_unimodular_matrix() (in module sage.matrix.special) randomize() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) rank() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) rank2_GF() (in module sage.matrix.benchmark) rank2_ZZ() (in module sage.matrix.benchmark) rank_GF() (in module sage.matrix.benchmark) rank_ZZ() (in module sage.matrix.benchmark) rational_form() (sage.matrix.matrix2.Matrix method) rational_reconstruction() (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) reduce() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) reduced_echelon_matrix_iterator() (in module sage.matrix.echelon_matrix) reduced_form() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) report() (in module sage.matrix.benchmark) report_GF() (in module sage.matrix.benchmark) report_ZZ() (in module sage.matrix.benchmark) rescale_col() (sage.matrix.matrix0.Matrix method) rescale_row() (sage.matrix.matrix0.Matrix method) restrict() (sage.matrix.matrix2.Matrix method) restrict_codomain() (sage.matrix.matrix2.Matrix method) restrict_domain() (sage.matrix.matrix2.Matrix method) reverse() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) reverse_rows_and_columns() (sage.matrix.matrix0.Matrix method) right_eigenmatrix() (sage.matrix.matrix2.Matrix method) right_eigenspaces() (sage.matrix.matrix2.Matrix method) right_eigenvectors() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_double_dense.Matrix_double_dense method) right_kernel() (sage.matrix.matrix2.Matrix method) right_kernel_matrix() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) right_nullity() (sage.matrix.matrix2.Matrix method) right_quo_rem() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) rook_vector() (sage.matrix.matrix2.Matrix method) round() (sage.matrix.matrix_double_dense.Matrix_double_dense method) row() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) row_ambient_module() (sage.matrix.matrix1.Matrix method) row_degrees() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) row_iterator() (in module sage.matrix.matrix_misc) row_keys (sage.matrix.args.MatrixArgs attribute) row_keys() (sage.matrix.operation_table.OperationTable method) row_module() (sage.matrix.matrix2.Matrix method) row_space() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_space.MatrixSpace method) rows() (sage.matrix.matrix1.Matrix method) rref() (sage.matrix.matrix2.Matrix method) S sage.matrix.action module sage.matrix.args module sage.matrix.benchmark module sage.matrix.berlekamp_massey module sage.matrix.change_ring module sage.matrix.compute_J_ideal module sage.matrix.constructor module sage.matrix.docs module sage.matrix.echelon_matrix module sage.matrix.matrix0 module sage.matrix.matrix1 module sage.matrix.matrix2 module sage.matrix.matrix_complex_ball_dense module sage.matrix.matrix_complex_double_dense module sage.matrix.matrix_cyclo_dense module sage.matrix.matrix_dense module sage.matrix.matrix_double_dense module sage.matrix.matrix_generic_dense module sage.matrix.matrix_generic_sparse module sage.matrix.matrix_gf2e_dense module sage.matrix.matrix_integer_dense module sage.matrix.matrix_integer_dense_hnf module sage.matrix.matrix_integer_dense_saturation module sage.matrix.matrix_integer_sparse module sage.matrix.matrix_misc module sage.matrix.matrix_mod2_dense module sage.matrix.matrix_modn_dense_double module sage.matrix.matrix_modn_dense_float module sage.matrix.matrix_modn_sparse module sage.matrix.matrix_mpolynomial_dense module sage.matrix.matrix_polynomial_dense module sage.matrix.matrix_rational_dense module sage.matrix.matrix_rational_sparse module sage.matrix.matrix_real_double_dense module sage.matrix.matrix_space module sage.matrix.matrix_sparse module sage.matrix.matrix_symbolic_dense module sage.matrix.matrix_symbolic_sparse module sage.matrix.matrix_window module sage.matrix.misc module sage.matrix.misc_flint module sage.matrix.misc_mpfr module sage.matrix.operation_table module sage.matrix.special module sage.matrix.strassen module sage.matrix.symplectic_basis module sanity_checks() (in module sage.matrix.matrix_integer_dense_hnf) saturation() (in module sage.matrix.matrix_integer_dense_saturation) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) schur() (sage.matrix.matrix_double_dense.Matrix_double_dense method) set() (sage.matrix.matrix_window.MatrixWindow method) set_block() (sage.matrix.matrix2.Matrix method) set_col_to_multiple_of_col() (sage.matrix.matrix0.Matrix method) set_column() (sage.matrix.matrix1.Matrix method) set_column_keys() (sage.matrix.args.MatrixArgs method) set_immutable() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) set_max_cols() (in module sage.matrix.matrix0) set_max_rows() (in module sage.matrix.matrix0) set_print_symbols() (sage.matrix.operation_table.OperationTable method) set_row() (sage.matrix.matrix1.Matrix method) set_row_keys() (sage.matrix.args.MatrixArgs method) set_row_to_multiple_of_row() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_rational_sparse.Matrix_rational_sparse method) set_space() (sage.matrix.args.MatrixArgs method) set_to() (sage.matrix.matrix_window.MatrixWindow method) set_to_diff() (sage.matrix.matrix_window.MatrixWindow method) set_to_prod() (sage.matrix.matrix_window.MatrixWindow method) set_to_sum() (sage.matrix.matrix_window.MatrixWindow method) set_to_zero() (sage.matrix.matrix_window.MatrixWindow method) set_unsafe() (sage.matrix.matrix_window.MatrixWindow method) shift() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) simplify() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) simplify_full() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) simplify_rational() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) simplify_trig() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) singular_values() (sage.matrix.matrix_double_dense.Matrix_double_dense method) slice() (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) smith_form() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_integer_sparse.Matrix_integer_sparse method) smithform_ZZ() (in module sage.matrix.benchmark) solve_left() (sage.matrix.matrix2.Matrix method) solve_left_series_trunc() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) solve_right() (sage.matrix.matrix2.Matrix method) solve_right_series_trunc() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) solve_system_with_difficult_last_row() (in module sage.matrix.matrix_integer_dense_hnf) (in module sage.matrix.matrix_integer_dense_saturation) some_elements() (sage.matrix.matrix_space.MatrixSpace method) space (sage.matrix.args.MatrixArgs attribute) sparse (sage.matrix.args.MatrixArgs attribute) sparse_columns() (sage.matrix.matrix1.Matrix method) sparse_matrix() (sage.matrix.matrix1.Matrix method) sparse_rows() (sage.matrix.matrix1.Matrix method) SparseEntry (class in sage.matrix.args) stack() (sage.matrix.matrix1.Matrix method) str() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) strassen_echelon() (in module sage.matrix.strassen) strassen_window_multiply() (in module sage.matrix.strassen) subdivide() (sage.matrix.matrix2.Matrix method) subdivision() (sage.matrix.matrix2.Matrix method) subdivision_entry() (sage.matrix.matrix2.Matrix method) subdivisions() (sage.matrix.matrix2.Matrix method) submatrix() (sage.matrix.matrix1.Matrix method) (sage.matrix.matrix_gf2e_dense.Matrix_gf2e_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) submodule() (sage.matrix.matrix_space.MatrixSpace method) subs() (sage.matrix.matrix2.Matrix method) subtract() (sage.matrix.matrix_window.MatrixWindow method) subtract_prod() (sage.matrix.matrix_window.MatrixWindow method) SVD() (sage.matrix.matrix_double_dense.Matrix_double_dense method) swap_columns() (sage.matrix.matrix0.Matrix method) swap_rows() (sage.matrix.matrix0.Matrix method) (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse method) (sage.matrix.matrix_window.MatrixWindow method) swapped_columns() (sage.matrix.matrix_mpolynomial_dense.Matrix_mpolynomial_dense method) symplectic_basis_over_field() (in module sage.matrix.symplectic_basis) symplectic_basis_over_ZZ() (in module sage.matrix.symplectic_basis) symplectic_form() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) T T (sage.matrix.matrix2.Matrix attribute) table() (sage.matrix.operation_table.OperationTable method) tensor_product() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_cyclo_dense.Matrix_cyclo_dense method) test() (in module sage.matrix.strassen) to_list() (sage.matrix.strassen.int_range method) to_matrix() (sage.matrix.matrix_window.MatrixWindow method) to_png() (in module sage.matrix.matrix_mod2_dense) toeplitz() (in module sage.matrix.special) trace() (sage.matrix.matrix2.Matrix method) (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) trace_of_product() (sage.matrix.matrix2.Matrix method) translation() (sage.matrix.operation_table.OperationTable method) transpose() (sage.matrix.matrix_complex_ball_dense.Matrix_complex_ball_dense method) (sage.matrix.matrix_dense.Matrix_dense method) (sage.matrix.matrix_integer_dense.Matrix_integer_dense method) (sage.matrix.matrix_mod2_dense.Matrix_mod2_dense method) (sage.matrix.matrix_modn_dense_double.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_dense_float.Matrix_modn_dense_template method) (sage.matrix.matrix_modn_sparse.Matrix_modn_sparse method) (sage.matrix.matrix_rational_dense.Matrix_rational_dense method) (sage.matrix.matrix_sparse.Matrix_sparse method) transposed() (sage.matrix.matrix_space.MatrixSpace method) truncate() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) U unpickle() (in module sage.matrix.matrix0) unpickle_matrix_gf2e_dense_v0() (in module sage.matrix.matrix_gf2e_dense) unpickle_matrix_mod2_dense_v2() (in module sage.matrix.matrix_mod2_dense) V vandermonde() (in module sage.matrix.special) variables() (sage.matrix.matrix_symbolic_dense.Matrix_symbolic_dense method) (sage.matrix.matrix_symbolic_sparse.Matrix_symbolic_sparse method) vecmat_ZZ() (in module sage.matrix.benchmark) vector_on_axis_rotation_matrix() (in module sage.matrix.special) VectorMatrixAction (class in sage.matrix.action) visualize_structure() (sage.matrix.matrix2.Matrix method) W weak_popov_form() (sage.matrix.matrix_polynomial_dense.Matrix_polynomial_dense method) wiedemann() (sage.matrix.matrix2.Matrix method) with_added_multiple_of_column() (sage.matrix.matrix0.Matrix method) with_added_multiple_of_row() (sage.matrix.matrix0.Matrix method) with_col_set_to_multiple_of_col() (sage.matrix.matrix0.Matrix method) with_permuted_columns() (sage.matrix.matrix0.Matrix method) with_permuted_rows() (sage.matrix.matrix0.Matrix method) with_permuted_rows_and_columns() (sage.matrix.matrix0.Matrix method) with_rescaled_col() (sage.matrix.matrix0.Matrix method) with_rescaled_row() (sage.matrix.matrix0.Matrix method) with_row_set_to_multiple_of_row() (sage.matrix.matrix0.Matrix method) with_swapped_columns() (sage.matrix.matrix0.Matrix method) with_swapped_rows() (sage.matrix.matrix0.Matrix method) Z zero() (sage.matrix.matrix_space.MatrixSpace method) zero_at() (sage.matrix.matrix_double_dense.Matrix_double_dense method) zero_matrix() (in module sage.matrix.special) (sage.matrix.matrix_space.MatrixSpace method) zero_pattern_matrix() (sage.matrix.matrix1.Matrix method) zigzag_form() (sage.matrix.matrix2.Matrix method)