The APF linear algebra matrix interface. More...
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Classes | |
| class | apf::Matrix< M, N > |
| template-generic matrix of M by N doubles More... | |
| class | apf::Matrix3x3 |
| convenience wrapper over apf::Matrix<3,3> More... | |
Namespaces | |
| namespace | apf |
All APF symbols are contained in this namespace. | |
Functions | |
| template<std::size_t M, std::size_t N> | |
| Matrix< N, M > | apf::transpose (Matrix< M, N > const &m) |
| transpose a matrix | |
| template<std::size_t M, std::size_t N> | |
| Matrix< M, N > | apf::tensorProduct (Vector< M > const &a, Vector< N > const &b) |
| tensor product of two vectors | |
| template<std::size_t M, std::size_t N> | |
| Matrix< M-1, N-1 > | apf::getMinor (Matrix< M, N > const &A, std::size_t i, std::size_t j) |
| get the minor matrix associated with entry (i,j) of matrix A | |
| template<std::size_t M, std::size_t N> | |
| double | apf::getCofactor (Matrix< M, N > const &A, std::size_t i, std::size_t j) |
| get the cofactor associated with entry (i,j) of matrix A | |
| template<std::size_t M, std::size_t N> | |
| double | apf::getDeterminant (Matrix< M, N > const &A) |
| get the determinant of a matrix A | |
| Matrix< 3, 3 > | apf::cofactor (Matrix< 3, 3 > const &m) |
| get the matrix of cofactors for a given matrix | |
| Matrix< 2, 2 > | apf::invert (Matrix< 2, 2 > const &m) |
| invert a 2 by 2 matrix | |
| Matrix< 3, 3 > | apf::invert (Matrix< 3, 3 > const &m) |
| invert a 3 by 3 matrix | |
| template<std::size_t M, std::size_t N> | |
| double | apf::getInnerProduct (Matrix< M, N > const &a, Matrix< M, N > const &b) |
| get the component-wise inner product of two matrices | |
| Matrix3x3 | apf::cross (Vector3 const &u) |
| get the skew-symmetric cross product matrix of a vector | |
| Matrix3x3 | apf::rotate (Vector3 const &u, double a) |
| get the rotation matrix around an axis | |
| Matrix3x3 | apf::getFrame (Vector3 const &v) |
| derive an orthogonal frame whose x axis is the given vector | |
| int | apf::eigen (Matrix3x3 const &A, Vector< 3 > *eigenVectors, double *eigenValues) |
| get the eigenvectors and eigenvalues of a 3 by 3 matrix | |
The APF linear algebra matrix interface.
Definition in file apfMatrix.h.
1.7.1
