[C++26] 線形代数ライブラリ

[faithandbrave]

• P1673R13 A free function linear algebra interface based on the BLAS

BLAS 1

• [x] setup_givens_rotation, setup_givens_rotation_result
• [x] apply_givens_rotation
• [x] swap_elements
• [x] scale
• [x] copy
• [x] add
• [x] dot
• [x] dotc
• [x] vector_sum_of_squares, sum_of_squares_result
• [x] vector_two_norm
• [x] vector_abs_sum
• [x] vector_idx_abs_max
• [x] matrix_frob_norm
• [x] matrix_one_norm
• [x] matrix_inf_norm

BLAS 2

• [x] matrix_vector_product
• [x] symmetric_matrix_vector_product
• [x] hermitian_matrix_vector_product
• [x] triangular_matrix_vector_product
• [x] triangular_matrix_vector_solve
• [x] matrix_rank_1_update
• [x] matrix_rank_1_update_c
• [x] symmetric_matrix_rank_1_update
• [ ] hermitian_matrix_rank_1_update
• [ ] symmetric_matrix_rank_2_update
• [ ] hermitian_matrix_rank_2_update

BLAS 3

• [ ] matrix_product
• [ ] symmetric_matrix_product
• [ ] hermitian_matrix_product
• [ ] triangular_matrix_product
• [ ] triangular_matrix_left_product
• [ ] triangular_matrix_right_product
• [ ] symmetric_matrix_rank_k_update
• [ ] hermitian_matrix_rank_k_update
• [ ] symmetric_matrix_rank_2k_update
• [ ] hermitian_matrix_rank_2k_update
• [ ] triangular_matrix_matrix_left_solve
• [ ] triangular_matrix_matrix_right_solve

Others

• [x] layout_blas_packed
• [x] scaled, scaled_accessor
• [x] conjugated, conjugated_accessor
• [x] transposed, layout_transpose
• [x] conjugate_transposed
• [x] column_major, row_major
• [x] upper_triangle, lower_triangle
• [x] implicit_unit_diagonal, explicit_diagonal