Functions | |
template<typename eT , typename T1 , typename T2 > | |
bool | solve (Mat< eT > &X, const Base< eT, T1 > &A_in, const Base< eT, T2 > &B_in) |
Solve a system of linear equations, i.e., A*X = B, where X is unknown. For a square matrix A, this function is conceptually the same as X = inv(A)*B, but is done more efficiently. The number of rows in A and B must be the same. B can be either a column vector or a matrix. This function will also try to provide approximate solutions to under-determined as well as over-determined systems (non-square A matrices). | |
template<typename eT , typename T1 , typename T2 > | |
Mat< eT > | solve (const Base< eT, T1 > &A_in, const Base< eT, T2 > &B_in) |
bool solve | ( | Mat< eT > & | X, | |
const Base< eT, T1 > & | A_in, | |||
const Base< eT, T2 > & | B_in | |||
) | [inline] |
Solve a system of linear equations, i.e., A*X = B, where X is unknown. For a square matrix A, this function is conceptually the same as X = inv(A)*B, but is done more efficiently. The number of rows in A and B must be the same. B can be either a column vector or a matrix. This function will also try to provide approximate solutions to under-determined as well as over-determined systems (non-square A matrices).
Definition at line 33 of file fn_solve.hpp.
References Base< elem_type, derived >::get_ref(), Mat< eT >::n_rows, auxlib::solve(), auxlib::solve_od(), and auxlib::solve_ud().
Referenced by solve().
00034 { 00035 arma_extra_debug_sigprint(); 00036 00037 const unwrap<T1> tmp1(A_in.get_ref()); 00038 const unwrap<T2> tmp2(B_in.get_ref()); 00039 00040 const Mat<eT>& A = tmp1.M; 00041 const Mat<eT>& B = tmp2.M; 00042 00043 arma_debug_check( (A.n_rows != B.n_rows), "solve(): number of rows in A and B must be the same" ); 00044 00045 if(A.n_rows == A.n_cols) 00046 { 00047 return auxlib::solve(X, A, B); 00048 } 00049 else 00050 if(A.n_rows > A.n_cols) 00051 { 00052 arma_extra_debug_print("solve(): detected over-determined system"); 00053 return auxlib::solve_od(X, A, B); 00054 } 00055 else 00056 { 00057 arma_extra_debug_print("solve(): detected under-determined system"); 00058 return auxlib::solve_ud(X, A, B); 00059 } 00060 }
Mat<eT> solve | ( | const Base< eT, T1 > & | A_in, | |
const Base< eT, T2 > & | B_in | |||
) | [inline] |
Definition at line 67 of file fn_solve.hpp.
References arma_print(), and solve().
00068 { 00069 arma_extra_debug_sigprint(); 00070 00071 Mat<eT> X; 00072 bool info = solve(X, A_in, B_in); 00073 00074 if(info == false) 00075 { 00076 arma_print("solve(): solution not found"); 00077 } 00078 00079 return X; 00080 }