Functions | |
template<typename T1 > | |
void | eig_sym (Col< typename T1::pod_type > &eigval, const Base< typename T1::elem_type, T1 > &X) |
Eigenvalues of real/complex symmetric/hermitian matrix X. | |
template<typename T1 > | |
Col< typename T1::pod_type > | eig_sym (const Base< typename T1::elem_type, T1 > &X) |
Eigenvalues of real/complex symmetric/hermitian matrix X. | |
template<typename T1 > | |
void | eig_sym (Col< typename T1::pod_type > &eigval, Mat< typename T1::elem_type > &eigvec, const Base< typename T1::elem_type, T1 > &X) |
Eigenvalues and eigenvectors of real/complex symmetric/hermitian matrix X. | |
template<typename T1 > | |
void | eig_gen (Col< std::complex< typename T1::pod_type > > &eigval, Mat< typename T1::elem_type > &l_eigvec, Mat< typename T1::elem_type > &r_eigvec, const Base< typename T1::elem_type, T1 > &X) |
Eigenvalues and eigenvectors (both left and right) of general real/complex square matrix X. | |
template<typename eT , typename T1 > | |
void | eig_gen (Col< std::complex< eT > > &eigval, Mat< std::complex< eT > > &eigvec, const Base< eT, T1 > &X, const char side= 'r') |
Eigenvalues and eigenvectors of general real square matrix X. Optional argument 'side' specifies which eigenvectors should be computed: 'r' for right (default) and 'l' for left. | |
template<typename T , typename T1 > | |
void | eig_gen (Col< std::complex< T > > &eigval, Mat< std::complex< T > > &eigvec, const Base< std::complex< T >, T1 > &X, const char side= 'r') |
Eigenvalues and eigenvectors of general complex square matrix X Optional argument 'side' specifies which eigenvectors should be computed: 'r' for right (default) and 'l' for left. |
void eig_sym | ( | Col< typename T1::pod_type > & | eigval, | |
const Base< typename T1::elem_type, T1 > & | X | |||
) | [inline] |
Eigenvalues of real/complex symmetric/hermitian matrix X.
Definition at line 30 of file fn_eig.hpp.
References auxlib::eig_sym(), and Base< elem_type, derived >::get_ref().
Referenced by eig_sym().
00031 { 00032 arma_extra_debug_sigprint(); 00033 00034 typedef typename T1::elem_type eT; 00035 00036 // unwrap_check not used as T1::elem_type and T1::pod_type may not be the same. 00037 // furthermore, it doesn't matter if A is an alias of S, as auxlib::eig() makes a copy of A 00038 00039 const unwrap<T1> tmp(X.get_ref()); 00040 const Mat<eT>& A = tmp.M; 00041 00042 auxlib::eig_sym(eigval, A); 00043 }
Col<typename T1::pod_type> eig_sym | ( | const Base< typename T1::elem_type, T1 > & | X | ) | [inline] |
Eigenvalues of real/complex symmetric/hermitian matrix X.
Definition at line 51 of file fn_eig.hpp.
References eig_sym().
00052 { 00053 arma_extra_debug_sigprint(); 00054 00055 Col<typename T1::pod_type> out; 00056 eig_sym(out, X); 00057 00058 return out; 00059 }
void eig_sym | ( | Col< typename T1::pod_type > & | eigval, | |
Mat< typename T1::elem_type > & | eigvec, | |||
const Base< typename T1::elem_type, T1 > & | X | |||
) | [inline] |
Eigenvalues and eigenvectors of real/complex symmetric/hermitian matrix X.
Definition at line 67 of file fn_eig.hpp.
References auxlib::eig_sym(), and Base< elem_type, derived >::get_ref().
00072 { 00073 arma_extra_debug_sigprint(); 00074 00075 typedef typename T1::elem_type eT; 00076 00077 const unwrap<T1> tmp(X.get_ref()); 00078 const Mat<eT>& A = tmp.M; 00079 00080 auxlib::eig_sym(eigval, eigvec, A); 00081 }
void eig_gen | ( | Col< std::complex< typename T1::pod_type > > & | eigval, | |
Mat< typename T1::elem_type > & | l_eigvec, | |||
Mat< typename T1::elem_type > & | r_eigvec, | |||
const Base< typename T1::elem_type, T1 > & | X | |||
) | [inline] |
Eigenvalues and eigenvectors (both left and right) of general real/complex square matrix X.
Definition at line 96 of file fn_eig.hpp.
References auxlib::eig_gen(), and Base< elem_type, derived >::get_ref().
00102 { 00103 arma_extra_debug_sigprint(); 00104 00105 typedef typename T1::elem_type eT; 00106 00107 const unwrap<T1> tmp(X.get_ref()); 00108 const Mat<eT>& A = tmp.M; 00109 00110 auxlib::eig_gen(eigval, l_eigvec, r_eigvec, A, 'b'); 00111 }
void eig_gen | ( | Col< std::complex< eT > > & | eigval, | |
Mat< std::complex< eT > > & | eigvec, | |||
const Base< eT, T1 > & | X, | |||
const char | side = 'r' | |||
) | [inline] |
Eigenvalues and eigenvectors of general real square matrix X. Optional argument 'side' specifies which eigenvectors should be computed: 'r' for right (default) and 'l' for left.
Definition at line 122 of file fn_eig.hpp.
References arma_stop(), Mat< eT >::at(), conj(), auxlib::eig_gen(), Base< elem_type, derived >::get_ref(), and Mat< eT >::set_size().
00128 { 00129 arma_extra_debug_sigprint(); 00130 00131 //std::cout << "real" << std::endl; 00132 00133 const unwrap<T1> tmp(X.get_ref()); 00134 const Mat<eT>& A = tmp.M; 00135 00136 Mat<eT> dummy_eigvec; 00137 Mat<eT> tmp_eigvec; 00138 00139 switch(side) 00140 { 00141 case 'r': 00142 auxlib::eig_gen(eigval, dummy_eigvec, tmp_eigvec, A, side); 00143 break; 00144 00145 case 'l': 00146 auxlib::eig_gen(eigval, tmp_eigvec, dummy_eigvec, A, side); 00147 break; 00148 00149 default: 00150 arma_stop("eig_gen(): parameter 'side' is invalid"); 00151 } 00152 00153 00154 const u32 n = A.n_rows; 00155 00156 if(n > 0) 00157 { 00158 eigvec.set_size(n,n); 00159 00160 for(u32 j=0; j<n; ++j) 00161 { 00162 if( (j < n-1) && (eigval[j] == std::conj(eigval[j+1])) ) 00163 { 00164 // eigvec.col(j) = Mat< std::complex<eT> >( tmp_eigvec.col(j), tmp_eigvec.col(j+1) ); 00165 // eigvec.col(j+1) = Mat< std::complex<eT> >( tmp_eigvec.col(j), -tmp_eigvec.col(j+1) ); 00166 00167 for(u32 i=0; i<n; ++i) 00168 { 00169 eigvec.at(i,j) = std::complex<eT>( tmp_eigvec.at(i,j), tmp_eigvec.at(i,j+1) ); 00170 eigvec.at(i,j+1) = std::complex<eT>( tmp_eigvec.at(i,j), -tmp_eigvec.at(i,j+1) ); 00171 } 00172 00173 ++j; 00174 } 00175 else 00176 { 00177 // eigvec.col(i) = tmp_eigvec.col(i); 00178 00179 for(u32 i=0; i<n; ++i) 00180 { 00181 eigvec.at(i,j) = std::complex<eT>(tmp_eigvec.at(i,j), eT(0)); 00182 } 00183 00184 } 00185 } 00186 } 00187 00188 }
void eig_gen | ( | Col< std::complex< T > > & | eigval, | |
Mat< std::complex< T > > & | eigvec, | |||
const Base< std::complex< T >, T1 > & | X, | |||
const char | side = 'r' | |||
) | [inline] |
Eigenvalues and eigenvectors of general complex square matrix X Optional argument 'side' specifies which eigenvectors should be computed: 'r' for right (default) and 'l' for left.
Definition at line 199 of file fn_eig.hpp.
References arma_stop(), auxlib::eig_gen(), and Base< elem_type, derived >::get_ref().
00205 { 00206 arma_extra_debug_sigprint(); 00207 //std::cout << "complex" << std::endl; 00208 00209 typedef typename std::complex<T> eT; 00210 00211 const unwrap<T1> tmp(X.get_ref()); 00212 const Mat<eT>& A = tmp.M; 00213 00214 Mat<eT> dummy_eigvec; 00215 00216 switch(side) 00217 { 00218 case 'r': 00219 auxlib::eig_gen(eigval, dummy_eigvec, eigvec, A, side); 00220 break; 00221 00222 case 'l': 00223 auxlib::eig_gen(eigval, eigvec, dummy_eigvec, A, side); 00224 break; 00225 00226 default: 00227 arma_stop("eig_gen(): parameter 'side' is invalid"); 00228 } 00229 }