Note: pragpack is deprecated. It has been replaced by the header-only file mat.h in jtk.
Single header file matrix library using expression templates.
The basic matrix type is
template <class T, class Container>
class matrix;
Here parameter T should be a numeric type such as float or double.
Container should be std::vector<T> for dynamic allocation or std::array<T, size>
for small sized matrices.
The most common usages are typedef-ed:
typedef matrix<double> mat;
typedef matrix<float> matf;
typedef matrix<double, std::array<double, 1>> mat1;
typedef matrix<double, std::array<double, 2>> mat2;
typedef matrix<double, std::array<double, 3>> mat3;
...
typedef matrix<float, std::array<float, 1>> matf1;
typedef matrix<float, std::array<float, 2>> matf2;
typedef matrix<float, std::array<float, 3>> matf3;
...
Vectors are not a separate class, but are matrices with 1 row or 1 column.
Many common matrix algorithms are available:
- matrix and vector arithmetic
- matrix transpose
- svd (singular value decomposition)
- pseudo inverse
- lsd (solves overdetermined systems in a least squares sense using svd)
- lu decomposition
- solve a system using lu decomposition
- invert a matrix using lu decomposition
- cholesky factorization
- solve a system using cholesky factorization
- qr decomposition
- solve a system using qr decomposition
- frobenius norm
- compute a jacobian matrix using forward differences
- levenberg-marquardt optimization
- eigenvalue computation of square matrices