collection of functions to create and solve small linear systems More...
Functions | |
template<class T > | |
void | transpose (std::vector< std::vector< T > > &, std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n> | |
void | transpose (std::array< std::array< T, n >, m > &, std::array< std::array< T, m >, n > &) |
template<class T > | |
std::vector< std::vector< T > > | transpose (const std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n> | |
std::array< std::array< T, m >, n > | transpose (const std::array< std::array< T, n >, m > &) |
template<class T > | |
void | triL (std::vector< std::vector< T > > &, std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n> | |
void | triL (std::array< std::array< T, n >, m > &, std::array< std::array< T, n >, m > &) |
template<class T > | |
void | triU (std::vector< std::vector< T > > &, std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n> | |
void | triU (std::array< std::array< T, n >, m > &, std::array< std::array< T, n >, m > &) |
int | linearIndexColMajor (int row, int col, int nRows, int nCols) |
int | linearIndexRowMajor (int row, int col, int nRows, int nCols) |
int | linearIndexColMajorSymmetric (int row, int col, int nRows, int nCols, char uplo) |
int | linearIndexRowMajorSymmetric (int row, int col, int nRows, int nCols, char uplo) |
template<class T > | |
void | display (std::ostream &, std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n> | |
void | display (std::ostream &, std::array< std::array< T, n >, m > &) |
template<class T > | |
void | displayColMajor (std::ostream &out, T *A, int nRows, int nCols) |
template<class T > | |
void | displayRowMajor (std::ostream &out, T *A, int nRows, int nCols) |
template<class T > | |
void | displayColMajorSymmetric (std::ostream &out, T *A, int nRows, int nCols, char uplo) |
template<class T > | |
void | displayRowMajorSymmetric (std::ostream &out, T *A, int nRows, int nCols, char uplo) |
template<class T > | |
void | complement (int, int, std::vector< std::vector< T > > &, std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n> | |
void | complement (int, int, std::array< std::array< T, n >, m > &, std::array< std::array< T, n-1 >, m-1 > &) |
template<class T > | |
void | zeros (std::vector< std::vector< T > > &, int, int) |
template<class T , size_t m, size_t n> | |
void | zeros (std::array< std::array< T, n >, m > &) |
template<class T > | |
void | ones (std::vector< std::vector< T > > &, int, int) |
template<class T , size_t m, size_t n> | |
void | ones (std::array< std::array< T, n >, m > &) |
template<class T > | |
void | eye (std::vector< std::vector< T > > &, int, int) |
template<class T , size_t m, size_t n> | |
void | eye (std::array< std::array< T, n >, m > &) |
template<class T > | |
T | det (std::vector< std::vector< T > > &) |
template<class T > | |
T | det (std::array< std::array< T, 1 >, 1 > &) |
template<class T , size_t m, size_t n> | |
T | det (std::array< std::array< T, n >, m > &) |
template<class T > | |
void | matmul (T, const std::vector< std::vector< T > > &, std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n> | |
void | matmul (T, const std::array< std::array< T, n >, m > &, std::array< std::array< T, n >, m > &) |
template<class T > | |
void | matmul (const std::vector< std::vector< T > > &, T, std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n> | |
void | matmul (const std::array< std::array< T, n >, m > &, T, std::array< std::array< T, n >, m > &) |
template<class T > | |
void | matmul (const std::vector< T > &, const std::vector< std::vector< T > > &, std::vector< T > &) |
template<class T , size_t m, size_t n> | |
void | matmul (const std::array< T, m > &, const std::array< std::array< T, n >, m > &, std::array< T, n > &) |
template<class T > | |
void | matmul (const std::vector< std::vector< T > > &, const std::vector< T > &, std::vector< T > &) |
template<class T , size_t m, size_t n> | |
void | matmul (const std::array< std::array< T, n >, m > &, const std::array< T, n > &, std::array< T, m > &) |
template<class T > | |
void | matmul (const std::vector< std::vector< T > > &, const std::vector< std::vector< T > > &, std::vector< std::vector< T > > &) |
template<class T , size_t m, size_t n, size_t l> | |
void | matmul (const std::array< std::array< T, n >, m > &, const std::array< std::array< T, l >, n > &, std::array< std::array< T, l >, m > &) |
template<class T , size_t d1, size_t d2, size_t d3> | |
std::array< std::array< T, d2 >, d1 > | matmul (const std::array< std::array< T, d3 >, d1 > &, const std::array< std::array< T, d2 >, d3 > &) |
template<class T > | |
std::vector< std::vector< T > > | matmul (const std::vector< std::vector< T > > &, const std::vector< std::vector< T > > &) |
template<class T > | |
std::vector< std::vector< T > > | matmulDiag (const std::vector< T > &, const std::vector< std::vector< T > > &) |
template<class T > | |
std::vector< std::vector< T > > | matmulDiag (const std::vector< std::vector< T > > &, const std::vector< T > &) |
template<class T , size_t d1, size_t d2> | |
std::array< std::array< T, d2 >, d1 > | matmulDiag (const std::array< T, d1 > &, const std::array< std::array< T, d2 >, d1 > &) |
template<class T , size_t d1, size_t d2> | |
std::array< std::array< T, d2 >, d1 > | matmulDiag (const std::array< std::array< T, d2 >, d1 > &, const std::array< T, d2 > &) |
template<class T > | |
std::vector< T > | matmul (const std::vector< std::vector< T > > &, const std::vector< T > &) |
template<class T , size_t d1, size_t d2> | |
std::array< T, d1 > | matmul (const std::array< std::array< T, d2 >, d1 > &, const std::array< T, d2 > &) |
template<class T > | |
std::vector< std::vector< T > > | tensorProduct (std::vector< T > const &, std::vector< T > const &) |
template<class T , size_t n, size_t m> | |
std::array< std::array< T, m >, n > | tensorProduct (std::array< T, n > const &, std::array< T, m > const &) |
unsigned int | factorizeLU (std::vector< std::vector< double > > &A, std::vector< std::vector< double > > &L, std::vector< std::vector< double > > &U, std::vector< std::vector< double > > *P) |
void | backwardSubstitution (std::vector< std::vector< double > > &A, std::vector< double > &B, std::vector< double > &x) |
void | forwardSubstitution (std::vector< std::vector< double > > &A, std::vector< double > &B, std::vector< double > &x) |
void | solveLU (std::vector< std::vector< double > > &A, std::vector< double > &B, std::vector< double > &x) |
int | solveLU (int layout, std::vector< double > &A, std::vector< double > &B) |
int | solveLU (int layout, int matrixOrder, double *A, double *B, int *ipiv) |
template<class T > | |
void | cramer (std::vector< std::vector< T > > &, std::vector< T > &, std::vector< T > &) |
template<class T , size_t m, size_t n> | |
void | cramer (std::array< std::array< T, n >, m > &, std::array< T, m > &, std::array< T, n > &) |
template<size_t m> | |
unsigned int | factorizeLU (std::array< std::array< double, m >, m > &, std::array< std::array< double, m >, m > &, std::array< std::array< double, m >, m > &, std::array< std::array< double, m >, m > *) |
template<size_t m> | |
void | backwardSubstitution (std::array< std::array< double, m >, m > &, std::array< double, m > &, std::array< double, m > &) |
template<size_t m> | |
void | forwardSubstitution (std::array< std::array< double, m >, m > &, std::array< double, m > &, std::array< double, m > &) |
template<size_t m> | |
void | solveLU (std::array< std::array< double, m >, m > &, std::array< double, m > &, std::array< double, m > &) |
collection of functions to create and solve small linear systems