Classes | |
| class | auxlib |
| wrapper for accessing external functions defined in ATLAS, LAPACK or BLAS libraries More... | |
Functions | |
| template<typename eT , typename T1 > | |
| static bool | auxlib::chol (Mat< eT > &out, const Base< eT, T1 > &X) |
| template<typename eT , typename T1 > | |
| static eT | auxlib::det (const Base< eT, T1 > &X, const bool slow=false) |
| template<typename eT > | |
| static eT | auxlib::det_lapack (const Mat< eT > &X, const bool make_copy) |
| immediate determinant of a matrix using ATLAS or LAPACK | |
| template<typename eT > | |
| static eT | auxlib::det_tinymat (const Mat< eT > &X, const uword N) |
| template<typename eT > | |
| static bool | auxlib::dlyap (Mat< eT > &X, const Mat< eT > &A, const Mat< eT > &Q) |
| template<typename T , typename T1 > | |
| static bool | auxlib::eig_gen (Col< std::complex< T > > &eigval, Mat< T > &l_eigvec, Mat< T > &r_eigvec, const Base< T, T1 > &X, const char side) |
| template<typename T , typename T1 > | |
| static bool | auxlib::eig_gen (Col< std::complex< T > > &eigval, Mat< std::complex< T > > &l_eigvec, Mat< std::complex< T > > &r_eigvec, const Base< std::complex< T >, T1 > &X, const char side) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::eig_sym (Col< eT > &eigval, const Base< eT, T1 > &X) |
| immediate eigenvalues of a symmetric real matrix using LAPACK | |
| template<typename T , typename T1 > | |
| static bool | auxlib::eig_sym (Col< T > &eigval, const Base< std::complex< T >, T1 > &X) |
| immediate eigenvalues of a hermitian complex matrix using LAPACK | |
| template<typename eT , typename T1 > | |
| static bool | auxlib::eig_sym (Col< eT > &eigval, Mat< eT > &eigvec, const Base< eT, T1 > &X) |
| immediate eigenvalues and eigenvectors of a symmetric real matrix using LAPACK | |
| template<typename T , typename T1 > | |
| static bool | auxlib::eig_sym (Col< T > &eigval, Mat< std::complex< T > > &eigvec, const Base< std::complex< T >, T1 > &X) |
| immediate eigenvalues and eigenvectors of a hermitian complex matrix using LAPACK | |
| template<typename eT , typename T1 > | |
| static bool | auxlib::inv (Mat< eT > &out, const Base< eT, T1 > &X, const bool slow=false) |
| immediate matrix inverse | |
| template<typename eT > | |
| static bool | auxlib::inv (Mat< eT > &out, const Mat< eT > &A, const bool slow=false) |
| template<typename eT > | |
| static bool | auxlib::inv_inplace_lapack (Mat< eT > &out) |
| template<typename eT > | |
| static bool | auxlib::inv_inplace_tinymat (Mat< eT > &out, const uword N) |
| template<typename eT > | |
| static bool | auxlib::inv_noalias_tinymat (Mat< eT > &out, const Mat< eT > &X, const uword N) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::inv_sym (Mat< eT > &out, const Base< eT, T1 > &X, const uword layout) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::inv_sympd (Mat< eT > &out, const Base< eT, T1 > &X, const uword layout) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::inv_tr (Mat< eT > &out, const Base< eT, T1 > &X, const uword layout) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::log_det (eT &out_val, typename get_pod_type< eT >::result &out_sign, const Base< eT, T1 > &X) |
| immediate log determinant of a matrix using ATLAS or LAPACK | |
| template<typename eT , typename T1 > | |
| static bool | auxlib::lu (Mat< eT > &L, Mat< eT > &U, podarray< blas_int > &ipiv, const Base< eT, T1 > &X) |
| immediate LU decomposition of a matrix using ATLAS or LAPACK | |
| template<typename eT , typename T1 > | |
| static bool | auxlib::lu (Mat< eT > &L, Mat< eT > &U, Mat< eT > &P, const Base< eT, T1 > &X) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::lu (Mat< eT > &L, Mat< eT > &U, const Base< eT, T1 > &X) |
| template<typename eT > | |
| static bool | auxlib::lyap (Mat< eT > &X, const Mat< eT > &A, const Mat< eT > &Q) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::qr (Mat< eT > &Q, Mat< eT > &R, const Base< eT, T1 > &X) |
| template<typename eT > | |
| static bool | auxlib::schur_dec (Mat< eT > &Z, Mat< eT > &T, const Mat< eT > &A) |
| template<typename cT > | |
| static bool | auxlib::schur_dec (Mat< std::complex< cT > > &Z, Mat< std::complex< cT > > &T, const Mat< std::complex< cT > > &A) |
| template<typename eT > | |
| static bool | auxlib::solve (Mat< eT > &out, Mat< eT > &A, const Mat< eT > &B, const bool slow=false) |
| template<typename eT > | |
| static bool | auxlib::solve_od (Mat< eT > &out, Mat< eT > &A, const Mat< eT > &B) |
| template<typename eT > | |
| static bool | auxlib::solve_tr (Mat< eT > &out, const Mat< eT > &A, const Mat< eT > &B, const uword layout) |
| template<typename eT > | |
| static bool | auxlib::solve_ud (Mat< eT > &out, Mat< eT > &A, const Mat< eT > &B) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::svd (Col< eT > &S, const Base< eT, T1 > &X, uword &n_rows, uword &n_cols) |
| template<typename T , typename T1 > | |
| static bool | auxlib::svd (Col< T > &S, const Base< std::complex< T >, T1 > &X, uword &n_rows, uword &n_cols) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::svd (Col< eT > &S, const Base< eT, T1 > &X) |
| template<typename T , typename T1 > | |
| static bool | auxlib::svd (Col< T > &S, const Base< std::complex< T >, T1 > &X) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::svd (Mat< eT > &U, Col< eT > &S, Mat< eT > &V, const Base< eT, T1 > &X) |
| template<typename T , typename T1 > | |
| static bool | auxlib::svd (Mat< std::complex< T > > &U, Col< T > &S, Mat< std::complex< T > > &V, const Base< std::complex< T >, T1 > &X) |
| template<typename eT , typename T1 > | |
| static bool | auxlib::svd_econ (Mat< eT > &U, Col< eT > &S, Mat< eT > &V, const Base< eT, T1 > &X, const char mode) |
| template<typename T , typename T1 > | |
| static bool | auxlib::svd_econ (Mat< std::complex< T > > &U, Col< T > &S, Mat< std::complex< T > > &V, const Base< std::complex< T >, T1 > &X, const char mode) |
| template<typename eT > | |
| static bool | auxlib::syl (Mat< eT > &X, const Mat< eT > &A, const Mat< eT > &B, const Mat< eT > &C) |
| bool auxlib::chol | ( | Mat< eT > & | out, |
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
Definition at line 1563 of file auxlib_meat.hpp.
| eT auxlib::det | ( | const Base< eT, T1 > & | X, |
| const bool | slow = false |
||
| ) | [inline, static] |
Definition at line 596 of file auxlib_meat.hpp.
| eT auxlib::det_lapack | ( | const Mat< eT > & | X, |
| const bool | make_copy | ||
| ) | [inline, static] |
immediate determinant of a matrix using ATLAS or LAPACK
Definition at line 738 of file auxlib_meat.hpp.
| eT auxlib::det_tinymat | ( | const Mat< eT > & | X, |
| const uword | N | ||
| ) | [inline, static] |
Definition at line 640 of file auxlib_meat.hpp.
| bool auxlib::dlyap | ( | Mat< eT > & | X, |
| const Mat< eT > & | A, | ||
| const Mat< eT > & | Q | ||
| ) | [inline, static] |
Definition at line 2898 of file auxlib_meat.hpp.
| bool auxlib::eig_gen | ( | Col< std::complex< T > > & | eigval, |
| Mat< T > & | l_eigvec, | ||
| Mat< T > & | r_eigvec, | ||
| const Base< T, T1 > & | X, | ||
| const char | side | ||
| ) | [inline, static] |
Eigenvalues and eigenvectors of a general square real matrix using LAPACK. The argument 'side' specifies which eigenvectors should be calculated (see code for mode details).
Definition at line 1362 of file auxlib_meat.hpp.
| bool auxlib::eig_gen | ( | Col< std::complex< T > > & | eigval, |
| Mat< std::complex< T > > & | l_eigvec, | ||
| Mat< std::complex< T > > & | r_eigvec, | ||
| const Base< std::complex< T >, T1 > & | X, | ||
| const char | side | ||
| ) | [inline, static] |
Eigenvalues and eigenvectors of a general square complex matrix using LAPACK The argument 'side' specifies which eigenvectors should be calculated (see code for mode details).
Definition at line 1470 of file auxlib_meat.hpp.
| bool auxlib::eig_sym | ( | Col< eT > & | eigval, |
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
immediate eigenvalues of a symmetric real matrix using LAPACK
Definition at line 1148 of file auxlib_meat.hpp.
| bool auxlib::eig_sym | ( | Col< T > & | eigval, |
| const Base< std::complex< T >, T1 > & | X | ||
| ) | [inline, static] |
immediate eigenvalues of a hermitian complex matrix using LAPACK
Definition at line 1199 of file auxlib_meat.hpp.
| bool auxlib::eig_sym | ( | Col< eT > & | eigval, |
| Mat< eT > & | eigvec, | ||
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
immediate eigenvalues and eigenvectors of a symmetric real matrix using LAPACK
Definition at line 1251 of file auxlib_meat.hpp.
| bool auxlib::eig_sym | ( | Col< T > & | eigval, |
| Mat< std::complex< T > > & | eigvec, | ||
| const Base< std::complex< T >, T1 > & | X | ||
| ) | [inline, static] |
immediate eigenvalues and eigenvectors of a hermitian complex matrix using LAPACK
Definition at line 1304 of file auxlib_meat.hpp.
| bool auxlib::inv | ( | Mat< eT > & | out, |
| const Base< eT, T1 > & | X, | ||
| const bool | slow = false |
||
| ) | [inline, static] |
immediate matrix inverse
Definition at line 26 of file auxlib_meat.hpp.
| bool auxlib::inv | ( | Mat< eT > & | out, |
| const Mat< eT > & | A, | ||
| const bool | slow = false |
||
| ) | [inline, static] |
Definition at line 56 of file auxlib_meat.hpp.
| bool auxlib::inv_inplace_lapack | ( | Mat< eT > & | out | ) | [inline, static] |
Definition at line 353 of file auxlib_meat.hpp.
| bool auxlib::inv_inplace_tinymat | ( | Mat< eT > & | out, |
| const uword | N | ||
| ) | [inline, static] |
Definition at line 219 of file auxlib_meat.hpp.
| bool auxlib::inv_noalias_tinymat | ( | Mat< eT > & | out, |
| const Mat< eT > & | X, | ||
| const uword | N | ||
| ) | [inline, static] |
Definition at line 85 of file auxlib_meat.hpp.
| bool auxlib::inv_sym | ( | Mat< eT > & | out, |
| const Base< eT, T1 > & | X, | ||
| const uword | layout | ||
| ) | [inline, static] |
Definition at line 489 of file auxlib_meat.hpp.
| bool auxlib::inv_sympd | ( | Mat< eT > & | out, |
| const Base< eT, T1 > & | X, | ||
| const uword | layout | ||
| ) | [inline, static] |
Definition at line 546 of file auxlib_meat.hpp.
| bool auxlib::inv_tr | ( | Mat< eT > & | out, |
| const Base< eT, T1 > & | X, | ||
| const uword | layout | ||
| ) | [inline, static] |
Definition at line 432 of file auxlib_meat.hpp.
| bool auxlib::log_det | ( | eT & | out_val, |
| typename get_pod_type< eT >::result & | out_sign, | ||
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
immediate log determinant of a matrix using ATLAS or LAPACK
Definition at line 827 of file auxlib_meat.hpp.
| bool auxlib::lu | ( | Mat< eT > & | L, |
| Mat< eT > & | U, | ||
| podarray< blas_int > & | ipiv, | ||
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
immediate LU decomposition of a matrix using ATLAS or LAPACK
Definition at line 939 of file auxlib_meat.hpp.
| bool auxlib::lu | ( | Mat< eT > & | L, |
| Mat< eT > & | U, | ||
| Mat< eT > & | P, | ||
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
Definition at line 1024 of file auxlib_meat.hpp.
| bool auxlib::lu | ( | Mat< eT > & | L, |
| Mat< eT > & | U, | ||
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
Definition at line 1089 of file auxlib_meat.hpp.
| bool auxlib::lyap | ( | Mat< eT > & | X, |
| const Mat< eT > & | A, | ||
| const Mat< eT > & | Q | ||
| ) | [inline, static] |
Definition at line 2874 of file auxlib_meat.hpp.
| bool auxlib::qr | ( | Mat< eT > & | Q, |
| Mat< eT > & | R, | ||
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
Definition at line 1612 of file auxlib_meat.hpp.
| bool auxlib::schur_dec | ( | Mat< eT > & | Z, |
| Mat< eT > & | T, | ||
| const Mat< eT > & | A | ||
| ) | [inline, static] |
Definition at line 2687 of file auxlib_meat.hpp.
| bool auxlib::schur_dec | ( | Mat< std::complex< cT > > & | Z, |
| Mat< std::complex< cT > > & | T, | ||
| const Mat< std::complex< cT > > & | A | ||
| ) | [inline, static] |
Definition at line 2742 of file auxlib_meat.hpp.
| bool auxlib::solve | ( | Mat< eT > & | out, |
| Mat< eT > & | A, | ||
| const Mat< eT > & | B, | ||
| const bool | slow = false |
||
| ) | [inline, static] |
Solve a system of linear equations. Assumes that A.n_rows = A.n_cols and B.n_rows = A.n_rows
Definition at line 2413 of file auxlib_meat.hpp.
| bool auxlib::solve_od | ( | Mat< eT > & | out, |
| Mat< eT > & | A, | ||
| const Mat< eT > & | B | ||
| ) | [inline, static] |
Solve an over-determined system. Assumes that A.n_rows > A.n_cols and B.n_rows = A.n_rows
Definition at line 2491 of file auxlib_meat.hpp.
| bool auxlib::solve_tr | ( | Mat< eT > & | out, |
| const Mat< eT > & | A, | ||
| const Mat< eT > & | B, | ||
| const uword | layout | ||
| ) | [inline, static] |
Definition at line 2642 of file auxlib_meat.hpp.
| bool auxlib::solve_ud | ( | Mat< eT > & | out, |
| Mat< eT > & | A, | ||
| const Mat< eT > & | B | ||
| ) | [inline, static] |
Solve an under-determined system. Assumes that A.n_rows < A.n_cols and B.n_rows = A.n_rows
Definition at line 2559 of file auxlib_meat.hpp.
| bool auxlib::svd | ( | Col< eT > & | S, |
| const Base< eT, T1 > & | X, | ||
| uword & | n_rows, | ||
| uword & | n_cols | ||
| ) | [inline, static] |
Definition at line 1715 of file auxlib_meat.hpp.
| bool auxlib::svd | ( | Col< T > & | S, |
| const Base< std::complex< T >, T1 > & | X, | ||
| uword & | n_rows, | ||
| uword & | n_cols | ||
| ) | [inline, static] |
Definition at line 1808 of file auxlib_meat.hpp.
| bool auxlib::svd | ( | Col< eT > & | S, |
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
Definition at line 1905 of file auxlib_meat.hpp.
| bool auxlib::svd | ( | Col< T > & | S, |
| const Base< std::complex< T >, T1 > & | X | ||
| ) | [inline, static] |
Definition at line 1918 of file auxlib_meat.hpp.
| bool auxlib::svd | ( | Mat< eT > & | U, |
| Col< eT > & | S, | ||
| Mat< eT > & | V, | ||
| const Base< eT, T1 > & | X | ||
| ) | [inline, static] |
Definition at line 1931 of file auxlib_meat.hpp.
| bool auxlib::svd | ( | Mat< std::complex< T > > & | U, |
| Col< T > & | S, | ||
| Mat< std::complex< T > > & | V, | ||
| const Base< std::complex< T >, T1 > & | X | ||
| ) | [inline, static] |
Definition at line 2023 of file auxlib_meat.hpp.
| bool auxlib::svd_econ | ( | Mat< eT > & | U, |
| Col< eT > & | S, | ||
| Mat< eT > & | V, | ||
| const Base< eT, T1 > & | X, | ||
| const char | mode | ||
| ) | [inline, static] |
Definition at line 2120 of file auxlib_meat.hpp.
| bool auxlib::svd_econ | ( | Mat< std::complex< T > > & | U, |
| Col< T > & | S, | ||
| Mat< std::complex< T > > & | V, | ||
| const Base< std::complex< T >, T1 > & | X, | ||
| const char | mode | ||
| ) | [inline, static] |
Definition at line 2263 of file auxlib_meat.hpp.
| bool auxlib::syl | ( | Mat< eT > & | X, |
| const Mat< eT > & | A, | ||
| const Mat< eT > & | B, | ||
| const Mat< eT > & | C | ||
| ) | [inline, static] |
Definition at line 2802 of file auxlib_meat.hpp.