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 32 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().
00033 { 00034 arma_extra_debug_sigprint(); 00035 00036 const unwrap<T1> tmp1(A_in.get_ref()); 00037 const unwrap<T2> tmp2(B_in.get_ref()); 00038 00039 const Mat<eT>& A = tmp1.M; 00040 const Mat<eT>& B = tmp2.M; 00041 00042 arma_debug_check( (A.n_rows != B.n_rows), "solve(): number of rows in A and B must be the same" ); 00043 00044 if(A.n_rows == A.n_cols) 00045 { 00046 return auxlib::solve(X, A, B); 00047 } 00048 else 00049 if(A.n_rows > A.n_cols) 00050 { 00051 arma_extra_debug_print("solve(): detected over-determined system"); 00052 return auxlib::solve_od(X, A, B); 00053 } 00054 else 00055 { 00056 arma_extra_debug_print("solve(): detected under-determined system"); 00057 return auxlib::solve_ud(X, A, B); 00058 } 00059 }
Mat<eT> solve | ( | const Base< eT, T1 > & | A_in, | |
const Base< eT, T2 > & | B_in | |||
) | [inline] |
Definition at line 66 of file fn_solve.hpp.
References arma_print(), and solve().
00067 { 00068 arma_extra_debug_sigprint(); 00069 00070 Mat<eT> X; 00071 bool info = solve(X, A_in, B_in); 00072 00073 if(info == false) 00074 { 00075 arma_print("solve(): solution not found"); 00076 } 00077 00078 return X; 00079 }