This file provides the function lapack_solve. More...
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Classes | |
| struct | Wrapper::LAPACKexception |
| Exception to be thrown if LAPACK's solve fails. More... | |
Namespaces | |
| Wrapper | |
| A namespace containing the different wrapper functions. | |
Functions | |
| template<unsigned int system_size, unsigned int n_rhs_cols = 1, typename lapack_float_t > | |
| std::array< lapack_float_t, system_size *n_rhs_cols > | Wrapper::lapack_solve (std::array< lapack_float_t, system_size *system_size > &dense_mat, std::array< lapack_float_t, system_size *n_rhs_cols > &rhs) |
| Solve local system of equations. More... | |
| template<unsigned int n_rows, unsigned int n_cols, typename lapack_float_t > | |
| lapack_float_t | Wrapper::lapack_det (std::array< lapack_float_t, n_rows *n_cols > &dense_mat) |
| Determinant of a rectangular system. More... | |
| template<unsigned int n_rows, unsigned int n_cols, typename lapack_float_t > | |
| std::array< lapack_float_t, n_rows *n_rows > | Wrapper::lapack_qr_decomp_q (std::array< lapack_float_t, n_rows *n_cols > &dense_mat) |
| Matrix Q of QR decomposition. More... | |
| template<unsigned int n_rows, unsigned int n_cols, typename lapack_float_t > | |
| std::array< lapack_float_t, n_rows *n_cols > & | Wrapper::lapack_qr_decomp_r (std::array< lapack_float_t, n_rows *n_cols > &dense_mat) |
| Matrix R of QR decomposition. More... | |
| template<unsigned int n_rows, unsigned int n_cols, typename lapack_float_t > | |
| void | Wrapper::lapack_qr_decomp (std::array< lapack_float_t, n_rows *n_cols > &dense_mat, std::array< lapack_float_t, n_rows *n_rows > &mat_q) |
| Matrices Q and R of QR decomposition. More... | |
| template<unsigned int n_rows, unsigned int n_cols, typename lapack_float_t > | |
| void | Wrapper::lapack_qr_decomp (std::array< lapack_float_t, n_rows *n_cols > &dense_mat, std::array< lapack_float_t, n_rows *n_rows > &mat_q, std::array< lapack_float_t, n_cols *n_cols > &mat_r) |
| Matrices Q and R of QR decomposition. More... | |
| void | Wrapper::lapack_solve (int system_size, int n_rhs_cols, double *mat_a, double *rhs_b) |
Solve local system of equations with double floating point numbers — DO NOT USE. More... | |
| void | Wrapper::lapack_solve (int system_size, int n_rhs_cols, float *mat_a, float *rhs_b) |
Solve local system of equations with float floating point numbers — DO NOT USE. More... | |
| void | Wrapper::lapack_qr (int n_rows, int n_cols, double *mat_a, double *tau) |
QR decomposition in double floating point arithmetic — DO NOT USE. More... | |
| void | Wrapper::lapack_qr (int n_rows, int n_cols, float *mat_a, float *tau) |
QR decomposition in float floating point arithmetic — DO NOT USE. More... | |
| template<unsigned int n_rows, unsigned int n_cols, unsigned int rank, typename lapack_float_t > | |
| std::array< lapack_float_t, n_rows *n_rows > | Wrapper::get_q_from_lapack_qr_result (const std::array< lapack_float_t, n_rows *n_cols > &dense_mat, const std::array< lapack_float_t, rank > &tau) |
| Matrix Q of QR decomposition — DO NOT USE. More... | |
| template<unsigned int n_rows, unsigned int n_cols, unsigned int rank, typename lapack_float_t > | |
| void | Wrapper::get_q_from_lapack_qr_result (const std::array< lapack_float_t, n_rows *n_cols > &dense_mat, const std::array< lapack_float_t, rank > &tau, std::array< lapack_float_t, n_rows *n_rows > &mat_q) |
| Matrix Q of QR decomposition — DO NOT USE. More... | |
| template<unsigned int n_rows, unsigned int n_cols, typename lapack_float_t > | |
| std::array< lapack_float_t, n_rows *n_cols > & | Wrapper::get_r_from_lapack_qr_result (std::array< lapack_float_t, n_rows *n_cols > &dense_mat) |
| Matrix R of QR decomposition — DO NOT USE. More... | |
| template<unsigned int n_rows, unsigned int n_cols, typename lapack_float_t > | |
| void | Wrapper::get_r_from_lapack_qr_result (const std::array< lapack_float_t, n_rows *n_cols > &lapack_mat, std::array< lapack_float_t, n_cols *n_cols > &mat_r) |
| Matrix R of QR decomposition — DO NOT USE. More... | |
Detailed Description
This file provides the function lapack_solve.
This is a wrapper file to provide LAPACK based functions that have the ability to solve (dense) local systems of linear equations in an efficient way. The functions daxpy_ and dnrm2_ are needed to provide the three functions that solve local systems of equations. From these three functions, one is chosen to be used in the remainder of the code (i.e., dgesv_ cf. LAPACK manual for further details).
